Suppression of pattern complexity by discrete-space state feedback with equal intervals

Abstract

The suppression of the pattern complexity of spatiotemporal chaos in Coupled Acousto-optic Bistable Map Lattice system (CABMLs) is investigated. The pattern complexity of spatiotemporal dynamics is exhibited quantitatively by employing the average Kolmogorov–Sinai (KS) entropy density according to the Lyapunov exponents of lattices. By designing a global control method with periodic state feedback, we provide the stability analysis for suppressing spatiotemporal chaos to a stable state. Then, a pattern control strategy using discrete-space state feedback with equal intervals is proposed. Numerical simulations demonstrate that the pattern complexity of spatiotemporal chaos is decreased to a low level by the proposed method. Finally, the dependence of the control effect on the control interval is discussed in detail by considering the control efficiency and control cost and the optimal control interval is obtained.