Analysis of Border-Collision Bifurcations in a Flow Model of a Switching System(Special Section of Selected Papers from the 14th Workshop on Circuits and Systems in Karuizawa)

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概要

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• In this paper, we consider a switching system modeled by a discrete-time flow model. By simulation, it is shown that a lot of border-collision bifurcations occur since the system is piecewise linear. By using its characteristics, we classify its dynamics into modes, and we define blocks and a kind of Poincare map based on the modes. We calculate occurrence conditions of each block and all the Poincare points by computer-assisted analysis. We consider two bifurcation phenomena, and we show that a Poincare point hits a boundary of the occurrence conditions of a block. So, both bifurcations are indeed border-collision bifurcations.

• 社団法人電子情報通信学会の論文
• 2002-04-01

著者

• Tanaka H

  The Authors Are With The Graduate School Of Engineering Science Osaka University

• TANAKA Hiroto

  The authors are with the Graduate School of Engineering Science, Osaka University

• USHIO Toshimitsu

  The authors are with the Graduate School of Engineering Science, Osaka University

• Ushio Toshimitsu

  The Authors Are With The Graduate School Of Engineering Science Osaka University

関連論文

• Analysis of Border-Collision Bifurcations in a Flow Model of a Switching System(Special Section of Selected Papers from the 14th Workshop on Circuits and Systems in Karuizawa)

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