Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback
Yue Li-Juan (岳立娟)ab, Shen Ke (沈柯)a
a Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; b Department of Physics, Northeast Normal University, Changchun 130024 , China
Abstract In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally chaotic system as well as a spatiotemporally chaotic system. It can be extended to synchronize the spatiotemporal chaos. It can work in a wide range of the controlled and synchronized signals, so it can decrease the sensitivity down to a noise level. The synchronization can be obtained by the analysis of the largest conditional Lyapunov exponent spectrum, and easily implemented in practical systems just by adjusting the coupled strength without any pre-knowledge of the dynamic system required.
Received: 14 December 2005
Revised: 12 May 2005
Accepted manuscript online:
Yue Li-Juan (岳立娟), Shen Ke (沈柯) Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback 2005 Chinese Physics 14 1760
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