Analysis of Periodic Attractor in a Simple Hysteresis Network

• JIN'NO Kenya

  Electrical and Electronics Engineering Department, Sophia University

• SAITO Toshimichi

  Electrical and Electronic Engineering Department, Hosei University

抄録

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.

収録刊行物

• IEICE transactions on fundamentals of electronics, communications and computer sciences

  IEICE transactions on fundamentals of electronics, communications and computer sciences 79 (6), 873-882, 1996-06-25

  一般社団法人電子情報通信学会

キーワード

• limit cycle
• hysteresis
• piecewise linear system
• synchronization
• stability

詳細情報

• CRID: 1574231877208534656
• NII論文ID: 110003216188
• NII論文ID: 10000063446
• NII書誌ID: AA10826239
• ISSN: 09168508
• 本文言語コード: en
• データソース種別:
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