中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1760-1765.doi: 10.1088/1009-1963/14/9/012

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Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback

沈柯1, 岳立娟2   

  1. (1)Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; (2)Department of Physics, Changchun University of Science and Technology, Changchun 130022, China;Department of Physics, Northeast Normal University, Changchun 130024 , China
  • 收稿日期:2005-12-14 修回日期:2005-05-12 出版日期:2005-09-20 发布日期:2005-09-20

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   

  1. a Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; b Department of Physics, Northeast Normal University, Changchun 130024 , China
  • Received:2005-12-14 Revised:2005-05-12 Online:2005-09-20 Published:2005-09-20

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摘要： 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.

关键词: synchronization and control, spatiotemporal chaos, nonlinear feedback, acousto-optic bistable map system

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.

Key words: synchronization and control, spatiotemporal chaos, nonlinear feedback, acousto-optic bistable map system

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 05.45.Ra (Coupled map lattices) 42.79.Jq (Acousto-optical devices)