Lorenz系统驱动声光双稳时空混沌系统并行同步的研究

Study of The Parallel Synchronization of Acousto-Optical Bistable Spatiotemporal Chaos Systems Driven by Lorenz System

研究了一个时间混沌系统驱动多个时空混沌系统的并行同步问题.以单模激光Lorenz系统和一维耦合映像格子为例,在单模激光Lorenz系统中提取一个混沌序列,通过与一维耦合映像格子中的状态变量耦合使单模激光Lorenz系统和多个同结构一维耦合映像格子同时达到广义同步,并且多个一维耦合映像格子之间实现完全并行同步.通过计算条件Lyapunov指数,可以得到并行同步所需反馈系数的取值范围.数值模拟证明了此方法的可行性和有效性.

The parallel synchronization between a time chaotic system and many spatiotemporal chaotic systems was investigated. Taking a single-mode laser Lorenz system and unidimensional coupled map lattices for example,the generalized chaos synchronization of the two systems was realized and the global chaos synchronization among many unidimensional coupled map lattices also was realized. In the process for synchronization control, only a chaos sequence of the single-mode laser Lorenz system was used and eoupled with the state variables of the unidimensional coupled map lattices. The area of feedback coefficient was determined by the analysis of conditional Lyapunov exponent. The numerical simulation results show that this control method is commendably effective and feasible.