Analysis of Periodic Attractor in a Simple Hysteresis Network

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概要

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• We analyze dynamics of a simple hysteresis network (ab. SHN) which has only two parameters. We classify the periodic orbits and clarify the number of attractors and their domain of attraction. The SHN is a piecewise linear system, and therefore we can calculate the trajectory using exact solutions. We clarify the bifurcation sets on which equilibrium attractors bifurcate to the periodic orbits. We also give a sufficient condition for stability of the periodic orbits, and the stability is verified by laboratory experiment. The results of this paper may contribute to the development of an efficient multi functional artificial neural network.

• 社団法人電子情報通信学会の論文
• 1996-06-25

著者

• Saito Toshimichi

  Electrical And Electronic Engineering Department Hosei University

関連論文

• BIFURCATION FROM A CHAOTIC NETWORK BY OCCASIONAL LINEAR CONNECTION
• An RC Op Amp Hysteresis Chaos Generator and its Control
• Analysis of Periodic Attractor in a Simple Hysteresis Network

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