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Chaos control and synchronization in Bragg acousto-optic bistable systems driven by a separate chaotic system
1Key Laboratory of Coherence Light and Atomic and Molecular Spectroscopy, Ministry of Education, College of Physics, Jilin University, People's Republic of China. wrzf172@sohu.com
Chaos (Woodbury, N.Y.)
|October 29, 2005
Summary
This study introduces a novel chaos control scheme for Bragg acousto-optic bistable systems. It demonstrates achieving chaos synchronization in identical systems using a driving chaotic system, regardless of their initial states.
Area of Science:
- Nonlinear Dynamics
- Optoelectronics
- Chaos Theory
Background:
- Bragg acousto-optic bistable systems exhibit complex nonlinear behavior.
- Controlling and synchronizing chaotic systems is crucial for various applications.
Purpose of the Study:
- To propose and analyze a new scheme for chaos control and synchronization.
- To investigate the conditions for achieving chaos synchronization in driven systems.
Main Methods:
- Utilizing the output of one system to drive two identical chaotic systems.
- Employing the maximal conditional Lyapunov exponent (MCLE) as a criterion for synchronization analysis.
- Performing numerical calculations to validate the proposed scheme.
Main Results:
- Identical chaotic systems driven by a chaotic system achieve synchronization when exhibiting negative MCLEs.
- Synchronization is achievable irrespective of the initial states of the driven systems.
- Systems can transition from chaos to periodic states via an inverse period-doubling route when driven by a periodic system.
Conclusions:
- The proposed scheme effectively achieves chaos synchronization in Bragg acousto-optic bistable systems.
- The method is robust, enabling synchronization from various initial conditions.
- The study provides insights into bifurcations and state transitions in driven nonlinear systems.
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