研究一类混沌系统的同步问题。基于李雅普诺夫稳定性理论,利用线性反馈法给出了同步混沌系统的3种控制办案,得到了2个混沌系统同步的充分条件。为了更清楚地了解每种方案下系统的同步行为,还给出了以增益为分岔参数时同步误差的变化图。理论分析和数值仿真结果都表明了文中所给方法的有效性和可行性。
Synchronization problem of a chaotic system was investigated. Based on Lyapunov stability theorem,Three linear control schemes were given to synchronize two chaotic systems using linear feed- back control, and the sufficient conditions for achieving synchronization of two systems were derived. In order to explore the synchronization behavior of each scheme, gain Was taken as a bifurcation parameter to see how the synchronization errors evolves with variation of the parameter. Theoretical analysis and numerical simulation results show the method given in this paper is effective and feasible.