关键词: 混沌系统, 动力学特性, 谱熵复杂度, 电路仿真, 同步控制

Abstract: 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.

Key words: chaotic system, kinetic characteristics, spectral entropy complexity, circuit simulation, synchronization control