Aggregation of bifurcation analysis methods for piecewise nonlinear dynamical systems

2008 Fiscal Year Final Research Report

• Project/Area Number: 19560385
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Communication/Network engineering
• Research Institution: The 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
• Keywords: 非線形理論 / 回路

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.

Research Products

• [Journal Article] Daniele Fournier-Prunaret, Takuji Kousaka, Numerical Bifurcation Analysis Framework for Autonomous Piecewise-Smooth Dynamical Systems, Elsevier, Chaos (2009)
  • Author(s): Quentin Brandon, Tetsushi Ueta
  • Journal Title: Solitons and Fractals (in press)
  • Peer Reviewed
• [Journal Article] Bifurcation Analysis of Izhikevich Neuron Model, Watam Press, Dynamics of Continuous (2009)
  • Author(s): Akihisa Tamura, Tetsushi Ueta, Shigeki Tsuji
  • Journal Title: Discrete and Impulsive Systems (in press)
  • Peer Reviewed
• [Journal Article] Bifurcations observed in BVP oscillator with periodically switched RC circuit, Watam Press, Dynamics of Continuous (2009)
  • Author(s): Takuji Kousaka, Ken'ichi Fujimoto, YUE MA, Tetsushi Ueta, Hiroshi Kawakami
  • Journal Title: Discrete and Impulsive Systems (in press)
  • 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
  • Peer Reviewed
• [Journal Article] Bifurcation Analysis of Iterative Image Reconstruction Method for Computed Tomography, World Scientific (2008)
  • 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
  • Peer Reviewed
• [Journal Article] Bifurcation and chaos in switched autonomous systems (2008)
  • Author(s): Tetsushi Ueta, Quentin Brandon, Akihisa Tamura, Takuji Kousaka
  • Journal Title: Proc. NDES'08 Pages: 25-28
  • Peer Reviewed
• [Journal Article] Daniele Fournier-Prunaret, Numerical Bifurcation Analysis of Systems with Variable Switching Conditions (2008)
  • Author(s): Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
  • Journal Title: Proc. NOLTA'08 Pages: 160-163
  • Peer Reviewed
• [Journal Article] Bifurcation analysis of Izhikevich model (2008)
  • Author(s): Akihisa Tamura, Tetsushi Ueta
  • Journal Title: Proc. NOLTA'08 Pages: 529-532
• [Journal Article] Bifurcation Analysis of Chaos Synchronization in Coupled BVP Oscillators (2008)
  • Author(s): Satoshi Nishioka, Tetsushi Ueta
  • Journal Title: Proc. NOLTA'08 Pages: 529-532
  • Peer Reviewed
• [Journal Article] Controlling Chaos in a Simple Circuit with Switching Delay, Journal of Signal Processing (2007)
  • Author(s): Norihide Oda, Takuji Kousaka, Tetsushi Ueta, YUE MA
  • Journal Title: Vol.11, No.4 Pages: 329-332
  • Peer Reviewed
• [Journal Article] Occasional Delayed Feedback Control for Switched Autonomous Systems (2007)
  • Author(s): Tetsushi Ueta, Takuji Kousaka, Shigeki Tsuji
  • Journal Title: Proc. of ISCAS2007 Pages: 2474-2477
  • Peer Reviewed
• [Journal Article] Method of repellers detection by applied computation over basin of attraction (2007)
  • Author(s): Quentin Brandon, Toshiyuki Kumano, Tetsushi Ueta
  • Journal Title: Proc. NDES2007 Pages: 241-244
  • Peer Reviewed
• [Journal Article] On Scicos simulation of a hybrid dynamical system (2007)
  • Author(s): Hassane Bouzahir, El Fatima Guezar, Tetsushi Ueta
  • Journal Title: Proc. NDES2007 Pages: 62-65
  • Peer Reviewed
• [Journal Article] Bifurcation Structure of Capacitive Coupled BVP (2007)
  • Author(s): Yusuke Nishiuchi, Tetsushi Ueta, Hiroshi Kawakami
  • Journal Title: Proc. NDES2007 Pages: 90-93
  • Peer Reviewed
• [Journal Article] Bifurcation Analysis of Duffing-Rayleigh Equation (2007)
  • Author(s): Masaaki Mizumoto, Tetsushi Ueta, Hiroshi Kawakami
  • Journal Title: Proc. NDES2007 Pages: 90-93
  • Peer Reviewed
• [Journal Article] Daniele Fournier-Prunaret, Local Bifurcations of Nonlinear Hybrid Systems (2007)
  • Author(s): uentin Brandon, Tetsushi Ueta, Takuji Kousaka
  • Journal Title: Proc. NOLTA'07 Pages: 160-163
  • Peer Reviewed
• [Journal Article] Chaos in a Switched Dynamical System : Scicos as a Modeler and Simulator (2007)
  • Author(s): Fatima Guezar El, Hassane Bouzahir, Tetsushi Ueta, Pascal Acco
  • Journal Title: Proc. NOLTA'07 Pages: 164-167
  • Peer Reviewed
• [Journal Article] Bifurcation analysis for a simple chaotic circuit and its coupled systems (2007)
  • Author(s): Akihisa Tamura, Tetsushi Ueta
  • Journal Title: Proc. NOLTA'07 Pages: 529-532
  • Peer Reviewed
• [Journal Article] Daniele Fournier-Prunaret, Method of Bifurcation Analysis of Hybrid Nonlinear Systems (2007)
  • Author(s): Quentin Brandon, Tetsushi Ueta
  • Journal Title: Proc. NOMA'07 Pages: 59-62
  • Peer Reviewed
• [Journal Article] Hiroshi Kawakami, Visualization of unstable periodic points embedded in chaotic attractors by the directional coloring (2007)
  • Author(s): Tetsushi Ueta
  • Journal Title: Proc. NOMA'07 Pages: 25-28
  • 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
• [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
• [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
• [Presentation] Numerical Bifurcation Analysis of Systems with Affine Switching Conditions (2008)
  • Author(s): Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
  • Organizer: IEICE Technical Report
  • Year and Date: 2008-08-01
• [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
• [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
• [Presentation] Chaos synchronization of coupled simple oscillators (2007)
  • 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
• [Presentation] Homoclinic structure about the origin of a simple discrete system (2007)
  • 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
• [Presentation] Bifurcation Analysis of Duffing-Rayleigh Equation (2007)
  • 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
• [Presentation] Local Bifurcations of 3-state Alpazur Oscillator (2007)
  • 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
• [Presentation] Bifurcations is a 3-state Piecewise Smooth Dynamical Systems (2007)
  • Author(s): Quentin Brandon, Tetsushi Ueta, Takuji Kousaka
  • Organizer: IEICE Technical Report, Vol.NLP2007
  • Year and Date: 2007-06-09
• [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