Sustained chaos and control by means of weak periodic excitations: application to a class of nonlinear electronic systems

Author

Preciado, Victor M. ; Chacon, Ricardo ; Tereshko, Valery

Author_Institution

Dept. de Electron. e Ingenieria Electromech., Univ. de Extremadura, Badajoz, Spain

Volume

2

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

434

Abstract

The problem of homoclinic chaos enhancement by means of weak periodic perturbations is studied for a broad class of dissipative nonautonomous systems subjected to two harmonic excitations (one of them chaos inducing). Theoretical results are derived from the basis of Melnikov´s analysis. Analytical expressions for optimal values of initial phase differences between excitations in order to obtain an optimal chaos-inducing situation are derived. Robustness to noise is experimentally proved by the application of this technique in the induction of chaos in a nonlinear electronic circuit.

Keywords

chaos; nonlinear systems; oscillators; perturbation techniques; stability; Melnikovs analysis; chaos control; dissipative nonautonomous systems; harmonic excitations; homoclinic chaos enhancement; initial phase difference; nonlinear electronic circuit; nonlinear electronic systems; optimal chaos induction; oscillators; robustness; weak periodic perturbation; Chaos; Chaotic communication; Communications technology; Control systems; Damping; Electrical equipment industry; Electronic circuits; Electronic mail; Noise robustness; Nonlinear control systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1236862

Filename

1236862