一类新型混沌系统的同步控制

Synchronization Control of a New Chaos System

以一类新型系统为基础提出了一种改进的同步控制方法,使参数的选择更加灵活和实用,并详细证明了这类新型混沌系统同步而且估计了同步速度,给出了新型系统与洛仑兹混沌系统的异结构同步的数学模型.理论分析指出只要选取参数大于零就能达到同步控制的效果,且同步误差的收敛速度为O(e-t).数值模拟说明了理论结果的正确性和方法的可操作性.

Based on a new chaos system, an improved method of synchronization control is proposed. The selection of parameters in the new method is more flexible and practical. And synchronization of the new chaos system and the synchronous velocity are carefully proved. The mathematic model of synchronization with different structure of the new system and the Lorenz system is given. The theoretic analysis results indicate that the effect of synchronization can be realized if the parameters are positive constants, and synchronous velocity is O （e^-t） . The numerical simulations also illustrate the main theoretical results and the maneuverability of the obtaining method in this paper.