混沌系统及其同步是混沌保密通信中的关键问题。提出了一种基于双曲正切非线性函数的变形Chua电路.分析了参数在不同取值时系统的吸引子特性,讨论了该系统的功率谱密度特性、分岔特性和旁加莱映射,并通过线性状态反馈实现了两个变形Chua系统的同步。不仅如此,还通过调整非线性函数,将该系统进一步拓展,产生了更复杂的多涡卷混沌吸引子.以更利于实际应用。仿真结果表明了本方法的有效性。
Chaos and its synchronization are key to chaotic secure communication. A new modified Chua system based on a hyperbolic tangent nonlinear function is presented, also the attractor's characteristics with different parameter values, the property of power spectrum density (PSD), bifurcation phenomenon and poincare map about this system are analyzed. Then synchronization of the two modified Chua's circuits is achieved via linear states feedback method. Furthermore, the system is extended to generate more complex multi-scroll chaos via modifieation of the nonlinear function so that it is more efficient for applications. Simulation results show the effectiveness of our method.