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  • On uniqueness of two principal points for univariate location mixtures

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    descriptionPublicationkeyboard_double_arrow_right Article 2000Publisher:Elsevier BV
    Authors: Nobuo Shinozaki; Wataru Yamamoto;

    doi: 10.1016/s0167-7152(99)00084-x

    zbMATH Open Web Interface contents unavailable due to conflicting licenses.

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Statistics & Probabi...arrow_drop_down
    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    Statistics & Probability Letters
    Article . 2000 . Peer-reviewed
    License: Elsevier TDM
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    zbMATH Open
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    Statistics & Probability Letters
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Statistics & Probabi...arrow_drop_down
      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
      Statistics & Probability Letters
      Article . 2000 . Peer-reviewed
      License: Elsevier TDM
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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      Statistics & Probability Letters
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  • On uniqueness of two principal points for univariate location mixtures

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    descriptionPublicationkeyboard_double_arrow_right Article 2000Publisher:Elsevier BV
    Authors: Nobuo Shinozaki; Wataru Yamamoto;

    doi: 10.1016/s0167-7152(99)00084-x

    zbMATH Open Web Interface contents unavailable due to conflicting licenses.

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Statistics & Probabi...arrow_drop_down
    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    Statistics & Probability Letters
    Article . 2000 . Peer-reviewed
    License: Elsevier TDM
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    zbMATH Open
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Statistics & Probabi...arrow_drop_down
      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
      Statistics & Probability Letters
      Article . 2000 . Peer-reviewed
      License: Elsevier TDM
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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  • Classification of the periodic monodromies of hyperelliptic families

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2004Publisher:Cambridge University Press (CUP)
    Authors: Ishizaka, Mizuho;

    doi: 10.1017/s0027763000008849

    AbstractWe classify the periodic monodromies which are realized as the monodromies of hyperelliptic families.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Nagoya Mathematical ...arrow_drop_down
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    Nagoya Mathematical Journal
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    Project Euclid
    Other literature type . 2004
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    Nagoya Mathematical Journal
    Article . 2004 . Peer-reviewed
    License: Cambridge Core User Agreement
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    zbMATH Open
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    Nagoya Mathematical Journal
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Nagoya Mathematical ...arrow_drop_down
      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
      Nagoya Mathematical Journal
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      Project Euclid
      Other literature type . 2004
      Data sources: Project Euclid
      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
      Nagoya Mathematical Journal
      Article . 2004 . Peer-reviewed
      License: Cambridge Core User Agreement
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
      zbMATH Open
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      Nagoya Mathematical Journal
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  • Classification of the periodic monodromies of hyperelliptic families

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2004Publisher:Cambridge University Press (CUP)
    Authors: Ishizaka, Mizuho;

    doi: 10.1017/s0027763000008849

    AbstractWe classify the periodic monodromies which are realized as the monodromies of hyperelliptic families.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Nagoya Mathematical ...arrow_drop_down
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Nagoya Mathematical Journal
    Article
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    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Project Euclid
    Other literature type . 2004
    Data sources: Project Euclid
    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    Nagoya Mathematical Journal
    Article . 2004 . Peer-reviewed
    License: Cambridge Core User Agreement
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    zbMATH Open
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    Nagoya Mathematical Journal
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Nagoya Mathematical ...arrow_drop_down
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      Nagoya Mathematical Journal
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
      Nagoya Mathematical Journal
      Article . 2004 . Peer-reviewed
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      image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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  • A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 1999Publisher:World Scientific Pub Co Pte Ltd
    Authors: Takao Nishizeki; Md. Saidur Rahman; Shin-ichi Nakano;

    doi: 10.1142/9789812777638_0017 , 10.7155/jgaa.00017

    Summary: An orthogonal drawing of a plane graph \(G\) is a drawing of \(G\) in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best previously known algorithm takes time \(O(n^{7/4} \sqrt{\log n})\) for any plane graph with \(n\) vertices.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Journal of Graph Alg...arrow_drop_down
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    Journal of Graph Algorithms and Applications
    Article . 1999 . Peer-reviewed
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    Journal of Graph Algorithms and Applications
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    zbMATH Open
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Journal of Graph Alg...arrow_drop_down
      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
      Journal of Graph Algorithms and Applications
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      Journal of Graph Algorithms and Applications
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      Journal of Graph Algorithms and Applications
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  • A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 1999Publisher:World Scientific Pub Co Pte Ltd
    Authors: Takao Nishizeki; Md. Saidur Rahman; Shin-ichi Nakano;

    doi: 10.1142/9789812777638_0017 , 10.7155/jgaa.00017

    Summary: An orthogonal drawing of a plane graph \(G\) is a drawing of \(G\) in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best previously known algorithm takes time \(O(n^{7/4} \sqrt{\log n})\) for any plane graph with \(n\) vertices.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Journal of Graph Alg...arrow_drop_down
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    Journal of Graph Algorithms and Applications
    Article . 1999 . Peer-reviewed
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    Journal of Graph Algorithms and Applications
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    zbMATH Open
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    https://doi.org/10.1142/978981...
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    descriptionPublicationkeyboard_double_arrow_right Article 2001Publisher:Springer Science and Business Media LLC
    Authors: Tatsushi Ooba;

    doi: 10.1023/a:1008420911857

    In this short note the author provides a new type of sufficient stability test for 2-D linear systems of Fornasini-Marchesini type, which are derived from the Lyapunov theory and are presented in an LMI form. From this, a robustness analysis has been given along with some numerical examples.

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  • On Stability Robustness of 2-D Systems Described by the Fornasini–Marchesini Model

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    descriptionPublicationkeyboard_double_arrow_right Article 2001Publisher:Springer Science and Business Media LLC
    Authors: Tatsushi Ooba;

    doi: 10.1023/a:1008420911857

    In this short note the author provides a new type of sufficient stability test for 2-D linear systems of Fornasini-Marchesini type, which are derived from the Lyapunov theory and are presented in an LMI form. From this, a robustness analysis has been given along with some numerical examples.

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  • The relative log Poincaré lemma and relative log de Rham theory

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1998 Japan Publisher:Duke University Press
    Authors: Fumiharu Kato;

    doi: 10.1215/s0012-7094-98-09307-3

    Following an idea of K. Kato and C. Nakayama, the authors prove a generalizaton of the classical relative Poincaré lemma in Fontaine-Illusie log geometry.

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  • The relative log Poincaré lemma and relative log de Rham theory

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1998 Japan Publisher:Duke University Press
    Authors: Fumiharu Kato;

    doi: 10.1215/s0012-7094-98-09307-3

    Following an idea of K. Kato and C. Nakayama, the authors prove a generalizaton of the classical relative Poincaré lemma in Fontaine-Illusie log geometry.

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  • Homotopy of the exceptional Lie group G2

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1986Publisher:Cambridge University Press (CUP)
    Authors: Shichiro Oka;

    doi: 10.1017/s0013091500017557

    Let G be one of the following compact simply connected Lie groups: SU(3), Sp(2), G2. In the first two cases there is a well known stable decomposition of G as Q ∨ Sd where d = dim G and Q is a certain subspace of G. For SU(3), Q is the stunted complex quasiprojective space Σ(ℂP2/ℂP1) which fits into a cofibration sequence S3→Q→S5 with stable attaching map η:S5 → S4 For Sp(2), Q is the quaternionic quasi-projective space ℍℚ1 and fits into a cofibration sequence S3→Q→S7 with stable attaching map 2ν:S7→S4 (Here η and ν are generators of respectively.)

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  • Homotopy of the exceptional Lie group G2

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1986Publisher:Cambridge University Press (CUP)
    Authors: Shichiro Oka;

    doi: 10.1017/s0013091500017557

    Let G be one of the following compact simply connected Lie groups: SU(3), Sp(2), G2. In the first two cases there is a well known stable decomposition of G as Q ∨ Sd where d = dim G and Q is a certain subspace of G. For SU(3), Q is the stunted complex quasiprojective space Σ(ℂP2/ℂP1) which fits into a cofibration sequence S3→Q→S5 with stable attaching map η:S5 → S4 For Sp(2), Q is the quaternionic quasi-projective space ℍℚ1 and fits into a cofibration sequence S3→Q→S7 with stable attaching map 2ν:S7→S4 (Here η and ν are generators of respectively.)

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  • Indispensability of residual gauge fields and extended hamiltonian formalism in light-front quantization of gauge fields

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2002Publisher:Elsevier BV
    Authors: Y. Nakawaki; G. McCartor;

    doi: 10.1016/s0920-5632(02)01329-4

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  • Indispensability of residual gauge fields and extended hamiltonian formalism in light-front quantization of gauge fields

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2002Publisher:Elsevier BV
    Authors: Y. Nakawaki; G. McCartor;

    doi: 10.1016/s0920-5632(02)01329-4

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  • The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits

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    descriptionPublicationkeyboard_double_arrow_right Article 1997Publisher:Springer Science and Business Media LLC
    Authors: Hiroshi Kokubu; Vincent Naudot;

    doi: 10.1007/bf02227490

    The authors consider three parameter families of vector fields on \(\mathbb{R}^3\) that unfold an inclination flip homoclinic orbit of weak type. The singularity to which the homoclinic orbit converges has three distinct real eigenvalues. Denote these eigenvalues by \(- \alpha\), \(- \beta\) and 1 with \(\alpha > \beta > 0\) (after time rescaling). It is assumed that \(1/2 < \beta < \alpha < 1\). In this case the two dimensional stable manifold contains a unique \(C^2\) weak stable manifold. An inclination flip homoclinic orbit is of weak type if it is contained in this \(C^2\) weak stable manifold. This defines a homoclinic bifurcation of codimension three. The authors prove the existence of inclination flips of \(n\)-homoclinic orbits, for all \(n\), branching from the codimension three bifurcation point.

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  • The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits

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    descriptionPublicationkeyboard_double_arrow_right Article 1997Publisher:Springer Science and Business Media LLC
    Authors: Hiroshi Kokubu; Vincent Naudot;

    doi: 10.1007/bf02227490

    The authors consider three parameter families of vector fields on \(\mathbb{R}^3\) that unfold an inclination flip homoclinic orbit of weak type. The singularity to which the homoclinic orbit converges has three distinct real eigenvalues. Denote these eigenvalues by \(- \alpha\), \(- \beta\) and 1 with \(\alpha > \beta > 0\) (after time rescaling). It is assumed that \(1/2 < \beta < \alpha < 1\). In this case the two dimensional stable manifold contains a unique \(C^2\) weak stable manifold. An inclination flip homoclinic orbit is of weak type if it is contained in this \(C^2\) weak stable manifold. This defines a homoclinic bifurcation of codimension three. The authors prove the existence of inclination flips of \(n\)-homoclinic orbits, for all \(n\), branching from the codimension three bifurcation point.

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  • An algorithm of computing b-functions

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 1997 Japan Publisher:Duke University Press
    Authors: Oaku, Toshinori;

    doi: 10.1215/s0012-7094-97-08705-6

    handle: 2433/60136

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  • An algorithm of computing b-functions

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 1997 Japan Publisher:Duke University Press
    Authors: Oaku, Toshinori;

    doi: 10.1215/s0012-7094-97-08705-6

    handle: 2433/60136

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  • regularity theorems of boundary value problems for first order systems

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 1974 Japan Publisher:Kinokuniya Company, Tokyo
    Authors: Yamamoto, Kazuhiro;

    doi: 10.18910/6300

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  • regularity theorems of boundary value problems for first order systems

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 1974 Japan Publisher:Kinokuniya Company, Tokyo
    Authors: Yamamoto, Kazuhiro;

    doi: 10.18910/6300

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  • On uniqueness of two principal points for univariate location mixtures

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    descriptionPublicationkeyboard_double_arrow_right Article 2000Publisher:Elsevier BV
    Authors: Nobuo Shinozaki; Wataru Yamamoto;

    doi: 10.1016/s0167-7152(99)00084-x

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    Statistics & Probability Letters
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  • On uniqueness of two principal points for univariate location mixtures

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    descriptionPublicationkeyboard_double_arrow_right Article 2000Publisher:Elsevier BV
    Authors: Nobuo Shinozaki; Wataru Yamamoto;

    doi: 10.1016/s0167-7152(99)00084-x

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  • Classification of the periodic monodromies of hyperelliptic families

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2004Publisher:Cambridge University Press (CUP)
    Authors: Ishizaka, Mizuho;

    doi: 10.1017/s0027763000008849

    AbstractWe classify the periodic monodromies which are realized as the monodromies of hyperelliptic families.

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  • Classification of the periodic monodromies of hyperelliptic families

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2004Publisher:Cambridge University Press (CUP)
    Authors: Ishizaka, Mizuho;

    doi: 10.1017/s0027763000008849

    AbstractWe classify the periodic monodromies which are realized as the monodromies of hyperelliptic families.

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    Nagoya Mathematical Journal
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    Nagoya Mathematical Journal
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  • A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs

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    descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 1999Publisher:World Scientific Pub Co Pte Ltd
    Authors: Takao Nishizeki; Md. Saidur Rahman; Shin-ichi Nakano;

    doi: 10.1142/9789812777638_0017 , 10.7155/jgaa.00017

    Summary: An orthogonal drawing of a plane graph \(G\) is a drawing of \(G\) in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best previously known algorithm takes time \(O(n^{7/4} \sqrt{\log n})\) for any plane graph with \(n\) vertices.

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      Journal of Graph Algorithms and Applications
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  • A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs

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    descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 1999Publisher:World Scientific Pub Co Pte Ltd
    Authors: Takao Nishizeki; Md. Saidur Rahman; Shin-ichi Nakano;

    doi: 10.1142/9789812777638_0017 , 10.7155/jgaa.00017

    Summary: An orthogonal drawing of a plane graph \(G\) is a drawing of \(G\) in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best previously known algorithm takes time \(O(n^{7/4} \sqrt{\log n})\) for any plane graph with \(n\) vertices.

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    Journal of Graph Algorithms and Applications
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  • On Stability Robustness of 2-D Systems Described by the Fornasini–Marchesini Model

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    descriptionPublicationkeyboard_double_arrow_right Article 2001Publisher:Springer Science and Business Media LLC
    Authors: Tatsushi Ooba;

    doi: 10.1023/a:1008420911857

    In this short note the author provides a new type of sufficient stability test for 2-D linear systems of Fornasini-Marchesini type, which are derived from the Lyapunov theory and are presented in an LMI form. From this, a robustness analysis has been given along with some numerical examples.

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    Multidimensional Systems and Signal Processing
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  • On Stability Robustness of 2-D Systems Described by the Fornasini–Marchesini Model

    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    descriptionPublicationkeyboard_double_arrow_right Article 2001Publisher:Springer Science and Business Media LLC
    Authors: Tatsushi Ooba;

    doi: 10.1023/a:1008420911857

    In this short note the author provides a new type of sufficient stability test for 2-D linear systems of Fornasini-Marchesini type, which are derived from the Lyapunov theory and are presented in an LMI form. From this, a robustness analysis has been given along with some numerical examples.

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    Multidimensional Systems and Signal Processing
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  • The relative log Poincaré lemma and relative log de Rham theory

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1998 Japan Publisher:Duke University Press
    Authors: Fumiharu Kato;

    doi: 10.1215/s0012-7094-98-09307-3

    Following an idea of K. Kato and C. Nakayama, the authors prove a generalizaton of the classical relative Poincaré lemma in Fontaine-Illusie log geometry.

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    Duke Mathematical Journal
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  • The relative log Poincaré lemma and relative log de Rham theory

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1998 Japan Publisher:Duke University Press
    Authors: Fumiharu Kato;

    doi: 10.1215/s0012-7094-98-09307-3

    Following an idea of K. Kato and C. Nakayama, the authors prove a generalizaton of the classical relative Poincaré lemma in Fontaine-Illusie log geometry.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Project Euclidarrow_drop_down
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  • Homotopy of the exceptional Lie group G2

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1986Publisher:Cambridge University Press (CUP)
    Authors: Shichiro Oka;

    doi: 10.1017/s0013091500017557

    Let G be one of the following compact simply connected Lie groups: SU(3), Sp(2), G2. In the first two cases there is a well known stable decomposition of G as Q ∨ Sd where d = dim G and Q is a certain subspace of G. For SU(3), Q is the stunted complex quasiprojective space Σ(ℂP2/ℂP1) which fits into a cofibration sequence S3→Q→S5 with stable attaching map η:S5 → S4 For Sp(2), Q is the quaternionic quasi-projective space ℍℚ1 and fits into a cofibration sequence S3→Q→S7 with stable attaching map 2ν:S7→S4 (Here η and ν are generators of respectively.)

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    Proceedings of the Edinburgh Mathematical Society
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    Proceedings of the Edinburgh Mathematical Society
    Article . 1986 . Peer-reviewed
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      Proceedings of the Edinburgh Mathematical Society
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  • Homotopy of the exceptional Lie group G2

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 1986Publisher:Cambridge University Press (CUP)
    Authors: Shichiro Oka;

    doi: 10.1017/s0013091500017557

    Let G be one of the following compact simply connected Lie groups: SU(3), Sp(2), G2. In the first two cases there is a well known stable decomposition of G as Q ∨ Sd where d = dim G and Q is a certain subspace of G. For SU(3), Q is the stunted complex quasiprojective space Σ(ℂP2/ℂP1) which fits into a cofibration sequence S3→Q→S5 with stable attaching map η:S5 → S4 For Sp(2), Q is the quaternionic quasi-projective space ℍℚ1 and fits into a cofibration sequence S3→Q→S7 with stable attaching map 2ν:S7→S4 (Here η and ν are generators of respectively.)

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    Proceedings of the Edinburgh Mathematical Society
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    Proceedings of the Edinburgh Mathematical Society
    Article . 1986 . Peer-reviewed
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      Proceedings of the Edinburgh Mathematical Society
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  • Indispensability of residual gauge fields and extended hamiltonian formalism in light-front quantization of gauge fields

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2002Publisher:Elsevier BV
    Authors: Y. Nakawaki; G. McCartor;

    doi: 10.1016/s0920-5632(02)01329-4

    zbMATH Open Web Interface contents unavailable due to conflicting licenses.

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    Nuclear Physics B - Proceedings Supplements
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  • Indispensability of residual gauge fields and extended hamiltonian formalism in light-front quantization of gauge fields

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 2002Publisher:Elsevier BV
    Authors: Y. Nakawaki; G. McCartor;

    doi: 10.1016/s0920-5632(02)01329-4

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  • The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits

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    descriptionPublicationkeyboard_double_arrow_right Article 1997Publisher:Springer Science and Business Media LLC
    Authors: Hiroshi Kokubu; Vincent Naudot;

    doi: 10.1007/bf02227490

    The authors consider three parameter families of vector fields on \(\mathbb{R}^3\) that unfold an inclination flip homoclinic orbit of weak type. The singularity to which the homoclinic orbit converges has three distinct real eigenvalues. Denote these eigenvalues by \(- \alpha\), \(- \beta\) and 1 with \(\alpha > \beta > 0\) (after time rescaling). It is assumed that \(1/2 < \beta < \alpha < 1\). In this case the two dimensional stable manifold contains a unique \(C^2\) weak stable manifold. An inclination flip homoclinic orbit is of weak type if it is contained in this \(C^2\) weak stable manifold. This defines a homoclinic bifurcation of codimension three. The authors prove the existence of inclination flips of \(n\)-homoclinic orbits, for all \(n\), branching from the codimension three bifurcation point.

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    Journal of Dynamics and Differential Equations
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  • The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits

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    descriptionPublicationkeyboard_double_arrow_right Article 1997Publisher:Springer Science and Business Media LLC
    Authors: Hiroshi Kokubu; Vincent Naudot;

    doi: 10.1007/bf02227490

    The authors consider three parameter families of vector fields on \(\mathbb{R}^3\) that unfold an inclination flip homoclinic orbit of weak type. The singularity to which the homoclinic orbit converges has three distinct real eigenvalues. Denote these eigenvalues by \(- \alpha\), \(- \beta\) and 1 with \(\alpha > \beta > 0\) (after time rescaling). It is assumed that \(1/2 < \beta < \alpha < 1\). In this case the two dimensional stable manifold contains a unique \(C^2\) weak stable manifold. An inclination flip homoclinic orbit is of weak type if it is contained in this \(C^2\) weak stable manifold. This defines a homoclinic bifurcation of codimension three. The authors prove the existence of inclination flips of \(n\)-homoclinic orbits, for all \(n\), branching from the codimension three bifurcation point.

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  • An algorithm of computing b-functions

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    descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 1997 Japan Publisher:Duke University Press
    Authors: Oaku, Toshinori;

    doi: 10.1215/s0012-7094-97-08705-6

    handle: 2433/60136

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  • regularity theorems of boundary value problems for first order systems

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  • regularity theorems of boundary value problems for first order systems

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