スパイクノイズを有する2次元合成力学系の定性的性質

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2013/07/01

タイトル(英語): Basic Properties of Two-Dimensional Composite Dynamical System with Spike Noise

著者名: 田中　大揮（大分大学工学部），麻原　寛之（福岡大学工学部），合原　一幸（東京大学生産技術研究所），高坂　拓司（大分大学工学部）

著者名(英語): Daiki Tanaka (Faculty of Engineering, Oita University), Hiroyuki Asahara (Department of Electrical Engineering, Fukuoka University), Kazuyuki Aihara (Institute of Industrial Science, the University of Tokyo), Takuji Kousaka (Faculty of Engineering, Oita University)

キーワード: 合成力学系，スパイクノイズ，Poincare写像，周期倍分岐，border-collision分岐　　composite dynamical system，spike noise，Poincare map，period-doubling bifurcation，border-collision bifurcation

要約(英語): Bifurcation phenomena in the composite dynamical system are studied for understanding basic properties of the systems. Recently, it has been reported that the unavoidable non-ideal switching action, e.g., the spike noise or the time delay, occurs via the switching action and seriously affects a behavior of the orbit in the composite dynamical systems operating in high-frequency switching ranges. We have analyzed basic property of a simple 1-dimensional composite dynamical system with non-ideal switching action for essentially understanding dynamical effect of the non-ideal switching. In the engineering field, however, there are many two- or more dimensional systems. Of course, the non-ideal switching action can occur in two- or more dimensional systems. But, no paper analyzes effect of the non-ideal switching action in it. In this paper, we study basic property of the 2-dimensional composite dynamical system with spike noise. First, we explain a model of the 2-dimensional composite dynamical system. Next, behavior of the waveforms, in the system with ideal switching and the system with spike noise, is shown. Then, we sample the data of the waveforms via every period of the external force, and define the Poincare map. Finally, using the Poincare map, we derive the 2-parameter bifurcation diagrams, and discuss the basic properties of the system with spike noise.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.133 No.7 （2013） 特集：平成24 年電気学会電子・情報・システム部門大会

本誌掲載ページ: 1402-1409 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/133/7/133_1402/_article/-char/ja/