Controlling spatiotemporal chaos in a chain of the coupled logistic maps

Author

Astakhov, Vladimir V. ; Anishchenko, Vadim S. ; Shabunin, Alexey V.

Author_Institution

Phys. Dept., Saratov State Univ., Russia

Volume

42

Issue

6

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

352

Lastpage

357

Abstract

A method of controlling spatiotemporal chaos in a chain of the logistic maps, based on the Ott, Grebogi, Yorke (OGY) approach, is proposed in the paper. Forms of spatiotemporal disturbances of a system parameter are determined analytically to stabilize desired spatiotemporal states. The results are illustrated by numerical experiments. Transitions of the system under control from the regime of spatiotemporal chaos to the regular homogeneous regime with temporal period one, two, four, and also to more complicated regular regimes with different spatial and temporal periods have been demonstrated

Keywords

chaos; nonlinear dynamical systems; nonlinear network analysis; OGY approach; coupled logistic maps; nonlinear dynamical systems; regular homogeneous regime; spatial periods; spatiotemporal chaos; spatiotemporal disturbances; system parameter; temporal periods; Bifurcation; Chaos; Circuit simulation; Control systems; Coupling circuits; Electronic circuits; Logistics; Nonlinear control systems; Nonlinear dynamical systems; Spatiotemporal phenomena;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.390267

Filename

390267