一类具有吸引子共存新混沌系统的动力学分析、电路仿真及应用

Dynamics Analysis,Circuit Simulation and Application for a New Chaotic Systems with Existence of Multiple Attractors

构造了一类新的具有吸引子共存的三维连续自治混沌系统,该系统仅有1个线性项.对系统的平衡点的稳定性进行了分析,并利用0-1测试、分岔图与Lyapunov指数分析了系统参数对该系统动力学行为的影响.同时运用Multisim软件仿真了该系统的混沌电路.结论证实了数值仿真与电路结果的一致性,最后,将此混沌系统用于物理混沌加密和高级加密标准加密级联的混合图像加密算法,从而进一步揭示了混沌系统的复杂特性.

In this paper, a new continuous autonomous chaotic system with existence of multiple at- tractors is constructed,which contains only one linear term.The stability of equilibrium point is analyzed of the chaotic system, and using the bifurcation diagram,O-1 test and Lyapunov exponent,the effect of system parameters on the chaotic system is analyzed; Also, the chaotic circuit of the system is designed by using multisim software.The experimental results confirm that the consistency of the results of numerical simu- lation and circuit,Finally,the chaotic system is used for hybrid image encryption of physical chaos encryp- tion and advanced encryption standard encryption algorithm.which displays the complicated eharacteristic of the chaotic system further.