Dynamics of a simple hysteresis network

Author

Jin´no, Kenya ; Saito, Toshimichi

Author_Institution

Dept. of Electr. Eng., Hosei Univ., Tokyo, Japan

Volume

6

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

21

Abstract

In order to approach the explication of rich dynamics from a large scale nonlinear network, this paper analyses a continuous time hysteresis network whose cross connection is uniform. This system has only two parameters. Applying an efficient piecewise linear technique for a binary hysteresis element, we can clarify the existence condition of periodic orbits and the number of them. Also we can prove a sufficient condition for local convergence. In addition, the global convergence is verified by both numerical and laboratory experiments

Keywords

continuous time systems; convergence; hysteresis; nonlinear network analysis; piecewise-linear techniques; binary hysteresis element; continuous time hysteresis network; dynamics; global convergence; hysteresis network; large scale nonlinear network; local convergence; periodic orbits; piecewise linear technique; uniform cross connection; Associative memory; Circuits; Convergence of numerical methods; Hysteresis; Laboratories; Large-scale systems; Nonlinear dynamical systems; Orbits; Piecewise linear techniques; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409517

Filename

409517