Chaos synchronizing control in invariant subspaces

Author

Ueta, Tetsushi ; Kawakami, Hiroshi

Author_Institution

Dept. of Inf. Sci., Tokushima Univ., Japan

Volume

1

fYear

1997

Firstpage

69

Abstract

We propose a control method to achieve chaos synchronization for a coupled nonlinear system. The method is based on decomposition for symmetric coupling of the system. It is clarified that the stability of a synchronized orbit is governed by an eigenvector which is perpendicular to an invariant subspace decomposed by a transformation for the system equation. In this paper we illustrate that stabilization of a synchronized chaos embedded in an asynchronous chaotic attractor of the coupled quadratic maps and discuss its results

Keywords

chaos; eigenvalues and eigenfunctions; interconnected systems; nonlinear control systems; stability; synchronisation; asynchronous chaotic attractor; chaos synchronizing control; coupled chaotic oscillators; coupled nonlinear system; coupled quadratic maps; decomposition; eigenvector; invariant subspaces; stability; symmetric coupling; synchronized chaos; synchronized orbit; Chaos; Chaotic communication; Control systems; Coupling circuits; Equations; Information science; Nonlinear control systems; Nonlinear systems; Oscillators; Resistors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference

Print_ISBN

0-7803-4247-X

Type

conf

DOI

10.1109/COC.1997.633480

Filename

633480