Title :
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
fDate :
6/1/1995 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on