广域混沌系统的切换及同步控制

Switching and synchronization control of wide-area chaotic systems

基于T系统提出了一类新的三维可切换混沌系统,通过改变T系统的非线性项以及加入状态反馈项,构造了8个可以自由切换,且只有两个非线性项的子系统。分析子系统相图发现部分系统具有对称特性。对子系统进行动力学研究,判断系统混沌状态以及平衡点类型,同时得到系统参数对子系统混沌特性的影响,从中发现了多个子系统存在大范围参数混沌的现象。使用Multisim搭建8个子系统的切换电路,利用系统选择开关验证了系统电路的可行性。设计了自适应同步控制器,实现了对子系统的同步控制,并通过仿真验证了同步控制器的有效性。这类可切换混沌系统在图像加密、生物医学等实际领域具有较好的应用价值。

A new class of three-dimensional switched chaotic systems has been proposed based on the T system.By changing the nonlinear term of T system and adding the state feedback term,eight subsystems that have only two nonlinear terms with free switching were constructed.It is found that some systems have symmetrical characteristics by analyzing the subsystem phase diagram.The dynamics of the subsystem was studied to determine the chaotic state of the system and the type of equilibrium point,while the influence of the system parameters on the chaotic characteristics of the subsystem was obtained.It was found that there was a large range of chaos parameter in multiple subsystems.Multisim simulation software was employed to construct a switching circuit for eight subsystems,and the system selection switch was utilized to validate the practicality of the system circuit.An adaptive synchronization controller was designed to realize the synchronization control of the subsystems,and the effectiveness of synchronization was verified by simulation.These switchable chaotic systems exhibit significant application value in practical fields such as image encryption and biomedicine.