Manifold Piecewise Constant Systems and Chaos

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概要

• 論文の詳細を見る

• We propose manifold piecewise constant systems (ab. MPC) and consider basic phenomena: the 2-D, 3-D and 4-D MPCs exhibit limit-cycle, line-expanding chaos and area-expanding chaos, respectively. The righthand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map which can be expressed explicitly. In order to analyze the piecewise-linear return map, we introduce an evaluation function for the piecewise-linear return map and give theoretical evidence for chaos generation. Also the chaotic behaviors are demonstrated in the laboratory.

• 一般社団法人電子情報通信学会の論文
• 1999-08-25

著者

• Tsubone Tadashi

  Department Of Electrical Engineering Nagaoka University Of Technology

• Tsubone Tadashi

  Department Of Electronics And Electrical Engineering Hosei University

• Saito Toshimichi

  Department Of Electrical And Electronic Engineering Faculty Of Engineering Hosei University

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• Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System(Nonlinear Problems)
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• Manifold Piecewise Constant Systems and Chaos

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