一个新三维混沌电路设计及其同步控制

在Bao系统的基础上构建一个新的三维混沌系统。通过理论分析与数值仿真，研究该混沌系统的动力学特性，如系统耗散性和平衡点稳定性、Lyapunov指数谱和分岔图、Poincare截面和0-1测试运动轨迹等，结果表明该系统具有丰富的混沌动力学特性。通过谱熵复杂度和C0复杂度，分析不同参数下系统的复杂度大小，从而找到复杂度最高的参数取值范围。最后，采用非线性反馈同步法与线性反馈控制方法实现混沌系统同步，根据系统的最大Lyapunov指数确定线性同步控制的参数范围，并利用Multisim软件进行电路仿真，且仿真结果与数值分析完全一致，从而验证了新三维混沌电路同步控制的可行性，为混沌系统应用于同步保密通信领域提供了实验基础。

A new 3D chaotic circuit designand its synchronous control

A new three-dimensional chaotic system is constructed on the basis of Bao system. Through theoretical analysis and numerical simulation, the dynamic characteristics of the chaotic system are studied, such as system dissipation and equilibrium stability, Lyapunov exponent spectrum and bifurcation diagram, Poincare cross section and 0-1 test motion trajectory, etc. The results show that it has the abundant chaotic dynamics characteristics. Through spectral entropy complexity (SE) and C0 complexity, the complexity of the system under different parameters is analyzed to find the parameter value range with the highest complexity. Finally, the non-linear feedback synchronization method and the linear feedback control method are used to realize the synchronization of the chaotic system. To determine the parameter range of linear synchronization control according to the maximum Lis exponent of the system, and the Multisim software is used for circuit simulation. The simulation results are completely consistent with the numerical analysis, which verifies the feasibility of the new three-dimensional chaotic circuit synchronization control, and provides an experimental basis for the application of the chaotic system in the field of synchronous secure communication.