• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Aggregation of bifurcation analysis methods for piecewise nonlinear dynamical systems

Research Project

Project/Area Number 19560385
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Communication/Network engineering
Research InstitutionThe University of Tokushima

Principal Investigator

UETA Tetsushi  The University of Tokushima, 高度情報化基盤センター, 教授 (00243733)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords非線形理論 / 回路 / 区分非線形系 / 分岐 / カオス / 分岐図 / 不連続特性 / ポアンカレ写像
Research Abstract

区分非線形力学系の分岐解析問題を計算する数値計算アルゴリズムの開発およびそのC++による実装を完了した. このシステムを用いれば, 方程式の情報を入力し, 区分的な変分方程式を与えることにより, 区分非線形系の平衡点の分岐, 周期解の分岐, および大域的分岐を計算することができる.

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (49 results)

All 2009 2008 2007 Other

All Journal Article (26 results) (of which Peer Reviewed: 25 results) Presentation (21 results) Remarks (2 results)

  • [Journal Article] Daniele Fournier-Prunaret, Takuji Kousaka, Numerical Bifurcation Analysis Framework for Autonomous Piecewise-Smooth Dynamical Systems, Elsevier, Chaos2009

    • Author(s)
      Quentin Brandon, Tetsushi Ueta
    • Journal Title

      Solitons and Fractals (in press)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Izhikevich Neuron Model, Watam Press, Dynamics of Continuous2009

    • Author(s)
      Akihisa Tamura, Tetsushi Ueta, Shigeki Tsuji
    • Journal Title

      Discrete and Impulsive Systems (in press)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcations observed in BVP oscillator with periodically switched RC circuit, Watam Press, Dynamics of Continuous2009

    • Author(s)
      Takuji Kousaka, Ken'ichi Fujimoto, YUE MA, Tetsushi Ueta, Hiroshi Kawakami
    • Journal Title

      Discrete and Impulsive Systems (in press)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 低コスト会議録出版を志向する電子投稿・編集システム, 国公立大学センター情報システム研究会2009

    • Author(s)
      上田哲史
    • Journal Title

      大学情報システム環境研究(印刷中) Vol.12

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical bifurcation analysis framework for autonomous piecewise-smooth dynamical systems2009

    • Author(s)
      Q. Brandon, et. al.
    • Journal Title

      Chaos, Solitons and Fractals doi : 10.1016/j. chaos. 2008.11.013(印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Izhikevich Neuron Model2009

    • Author(s)
      A. Tamura, et al.
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Systems (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcations Observed in BVP Oscillator with Periodically Switched RC Circuits2009

    • Author(s)
      T. Kousaka, et, al.
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Systems (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Iterative Image Reconstruction Method for Computed Tomography, World Scientific2008

    • Author(s)
      Tetsuya Yoshinaga, Yoshihiro Imakura, Ken'ichi Fujimoto, Tetsushi Ueta
    • Journal Title

      International Journal of Bifurcation and Chaos Vol.18, No.4

      Pages: 1219-1225

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation and chaos in switched autonomous systems2008

    • Author(s)
      Tetsushi Ueta, Quentin Brandon, Akihisa Tamura, Takuji Kousaka
    • Journal Title

      Proc. NDES'08

      Pages: 25-28

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Daniele Fournier-Prunaret, Numerical Bifurcation Analysis of Systems with Variable Switching Conditions2008

    • Author(s)
      Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
    • Journal Title

      Proc. NOLTA'08

      Pages: 160-163

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis of Izhikevich model2008

    • Author(s)
      Akihisa Tamura, Tetsushi Ueta
    • Journal Title

      Proc. NOLTA'08

      Pages: 529-532

    • Related Report
      2008 Final Research Report
  • [Journal Article] Bifurcation Analysis of Chaos Synchronization in Coupled BVP Oscillators2008

    • Author(s)
      Satoshi Nishioka, Tetsushi Ueta
    • Journal Title

      Proc. NOLTA'08

      Pages: 529-532

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Iterative Image Reconstruction Method for Computed Tomography2008

    • Author(s)
      T. Yoshinaga
    • Journal Title

      International Journal Bifurcation and Chaos Vol.18,No.4

      Pages: 1219-1225

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Controlling Chaos in a Simple Circuit with Switching Delay, Journal of Signal Processing2007

    • Author(s)
      Norihide Oda, Takuji Kousaka, Tetsushi Ueta, YUE MA
    • Journal Title

      Vol.11, No.4

      Pages: 329-332

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Occasional Delayed Feedback Control for Switched Autonomous Systems2007

    • Author(s)
      Tetsushi Ueta, Takuji Kousaka, Shigeki Tsuji
    • Journal Title

      Proc. of ISCAS2007

      Pages: 2474-2477

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Method of repellers detection by applied computation over basin of attraction2007

    • Author(s)
      Quentin Brandon, Toshiyuki Kumano, Tetsushi Ueta
    • Journal Title

      Proc. NDES2007

      Pages: 241-244

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Scicos simulation of a hybrid dynamical system2007

    • Author(s)
      Hassane Bouzahir, El Fatima Guezar, Tetsushi Ueta
    • Journal Title

      Proc. NDES2007

      Pages: 62-65

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Structure of Capacitive Coupled BVP2007

    • Author(s)
      Yusuke Nishiuchi, Tetsushi Ueta, Hiroshi Kawakami
    • Journal Title

      Proc. NDES2007

      Pages: 90-93

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis of Duffing-Rayleigh Equation2007

    • Author(s)
      Masaaki Mizumoto, Tetsushi Ueta, Hiroshi Kawakami
    • Journal Title

      Proc. NDES2007

      Pages: 90-93

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Daniele Fournier-Prunaret, Local Bifurcations of Nonlinear Hybrid Systems2007

    • Author(s)
      uentin Brandon, Tetsushi Ueta, Takuji Kousaka
    • Journal Title

      Proc. NOLTA'07

      Pages: 160-163

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Chaos in a Switched Dynamical System : Scicos as a Modeler and Simulator2007

    • Author(s)
      Fatima Guezar El, Hassane Bouzahir, Tetsushi Ueta, Pascal Acco
    • Journal Title

      Proc. NOLTA'07

      Pages: 164-167

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis for a simple chaotic circuit and its coupled systems2007

    • Author(s)
      Akihisa Tamura, Tetsushi Ueta
    • Journal Title

      Proc. NOLTA'07

      Pages: 529-532

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Daniele Fournier-Prunaret, Method of Bifurcation Analysis of Hybrid Nonlinear Systems2007

    • Author(s)
      Quentin Brandon, Tetsushi Ueta
    • Journal Title

      Proc. NOMA'07

      Pages: 59-62

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hiroshi Kawakami, Visualization of unstable periodic points embedded in chaotic attractors by the directional coloring2007

    • Author(s)
      Tetsushi Ueta
    • Journal Title

      Proc. NOMA'07

      Pages: 25-28

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Controlling Chaos in a Simple Circuit with Switching Delay2007

    • Author(s)
      N. Oda
    • Journal Title

      Journal of Signal Processing Vol.11,No.4

      Pages: 329-332

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Occasional Delayed Feedback Control Switched Autonomous systems2007

    • Author(s)
      T. Ueta
    • Journal Title

      Proc.ISCAS2007

      Pages: 2474-2477

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 徳島大学における大学内外システム連携のための認証認可検討2009

    • Author(s)
      松浦健二, 金西計英, 大家隆弘, 上田哲史, 中川昌宏, 矢野米雄
    • Organizer
      電子情報通信学会, 電子情報通信学会2009年総合大会講演論文集
    • Year and Date
      2009-03-17
    • Related Report
      2008 Final Research Report
  • [Presentation] Bifurcation Analysis of Chaos Synchronization in Coupled BVP Oscillators2008

    • Author(s)
      S. Nishioka
    • Organizer
      NOLTA 2008
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical Bifurcation Analysis of Systems with Variable Switching Conditions2008

    • Author(s)
      Q. Brandon
    • Organizer
      NOLTA 2008
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bifurcation analysis of Izhikevich model2008

    • Author(s)
      A. Tamura
    • Organizer
      NOLTA 2008
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 結合された BVP 発振器にみられる多様な同期現象2008

    • Author(s)
      西岡聡, 上田哲史
    • Organizer
      電子情報通信学会技術研究報告
    • Year and Date
      2008-08-01
    • Related Report
      2008 Final Research Report
  • [Presentation] Izhikevich モデルにおける状態の跳躍の取り扱いと分岐2008

    • Author(s)
      田村彰寿, 上田哲史
    • Organizer
      電子情報通信学会技術研究報告
    • Year and Date
      2008-08-01
    • Related Report
      2008 Final Research Report
  • [Presentation] Numerical Bifurcation Analysis of Systems with Affine Switching Conditions2008

    • Author(s)
      Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
    • Organizer
      IEICE Technical Report
    • Year and Date
      2008-08-01
    • Related Report
      2008 Final Research Report
  • [Presentation] 解の写像方向の視覚化を用いた非線形系方程式の周期点検出2008

    • Author(s)
      永尾景, 上田哲史
    • Organizer
      電子情報通信学会技術研究報告
    • Year and Date
      2008-07-31
    • Related Report
      2008 Final Research Report
  • [Presentation] 特異な応答における Basin Boundary 構造の消失と数値演算誤差について2008

    • Author(s)
      西内悠祐, 上田哲史, 川上博
    • Organizer
      電子情報通信学会技術研究報告
    • Year and Date
      2008-07-31
    • Related Report
      2008 Final Research Report
  • [Presentation] 解の写像方向の視覚化を用いた非線形方程式の周期点検出2008

    • Author(s)
      永尾景
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      高知工業高等専門学校
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] 特異な応答におけるBasin Boundary構造の消失と数値演算誤差について2008

    • Author(s)
      西内悠祐
    • Organizer
      電了一情報通は学会非線形問題研究会
    • Place of Presentation
      高知工業鳥等専門学校
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] 結合されたBVP発振器にみられる多様な同期現象2008

    • Author(s)
      西岡 聡
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      高知工業高等専門学校
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Izhikevichモデルにおける状態の跳躍の取り扱いと分岐2008

    • Author(s)
      田村 彰寿
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      高知工業高等専門学校
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical Bifurcation Analysis of System with Affine Switching Conditions2008

    • Author(s)
      Q. Brandon
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      高知工業高等専門学校
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bifurcation and Chaos in Switched Autonomous Systems2008

    • Author(s)
      T. Ueta
    • Organizer
      NDES 2008
    • Place of Presentation
      Nizhny Novgorod, Russia
    • Year and Date
      2008-07-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] Chaos synchronization of coupled simple oscillators2007

    • Author(s)
      Akitoshi Tamura, Tetsushi Ueta
    • Organizer
      平成19年度電気関係学会四国支部連合大会講演論文集
    • Year and Date
      2007-09-26
    • Related Report
      2008 Final Research Report
  • [Presentation] Homoclinic structure about the origin of a simple discrete system2007

    • Author(s)
      Satoshi Nishioka, Tetsushi Ueta
    • Organizer
      平成19年度電気関係学会四国支部連合大会講演論文集
    • Year and Date
      2007-09-26
    • Related Report
      2008 Final Research Report
  • [Presentation] Bifurcation Analysis of Duffing-Rayleigh Equation2007

    • Author(s)
      Masaaki Mizumoto, Tetsushi Ueta, Hiroshi Kawakami
    • Organizer
      平成19年度電気関係学会四国支部連合大会講演論文集
    • Year and Date
      2007-09-26
    • Related Report
      2008 Final Research Report
  • [Presentation] Local Bifurcations of 3-state Alpazur Oscillator2007

    • Author(s)
      Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
    • Organizer
      平成19年度電気関係学会四国支部連合大会講演論文集
    • Year and Date
      2007-09-26
    • Related Report
      2008 Final Research Report
  • [Presentation] Method of repeller detection by applied computation over basin of attraction2007

    • Author(s)
      Q. Brandon
    • Organizer
      IEEE/NDES 2007
    • Place of Presentation
      徳島
    • Year and Date
      2007-07-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Bifurcations is a 3-state Piecewise Smooth Dynamical Systems2007

    • Author(s)
      Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
    • Organizer
      IEICE Technical Report, Vol.NLP2007
    • Year and Date
      2007-06-09
    • Related Report
      2008 Final Research Report
  • [Remarks] 本研究の成果についてもアナウンスされる予定である.

    • URL

      http://risa.is.tokushima-u.acjp

    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://risa.is.tokushima-u.ac.jp/~tetsushi/achievements/achieve.html

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi