离散混沌系统的线性和非线性反馈同步法及其条件

基于离散系统稳定性理论和Pecora-Carroll混沌同步定理，研究了多变量离散混沌系统的同步问题．提出了线性和非线性反馈同步控制方法，同步系统反馈控制器由线性和非线性两部分组成，响应系统受驱动系统的所有变量驱动．通过分析误差系统的特征方程和计算响应系统的最大条件Lyapunov指数，分别导出了离散混沌系统的同步条件．将该方法应用于Henon映射系统，实现了两Henon混沌系统的同步控制．讨论了混沌系统的同步性能与控制参数的关系．基于Matlab软件的数值仿真结果表明了该方法的有效性．

Synchronization and Its Conditions for Discrete Chaotic Systems by Linear and Nonlinear Feedback

Based on the stability theory of discrete systems and Pecora Carrol chaotic synchronization theorem, the synchronization for a class of discrete chaotic multi variable systems is studied. A new method named linear and nonlinear feedback control is presented. The synchronization controller includes linear and nonlinear feedback, and the response system is driven by all variables of the drive system. Through analyzing the equation of the error system and calculating the maximum Lyapunov exponents of the response system, the synchronization conditions are gained. Then, the method is applied to Henon mapping system, and the synchronization between response and drive Henon systems is realized, and the relations between synchronization performances and control parameters are discussed. The simulation based on Matlab software shows its effectiveness.