Abstract

In this paper, the mechanism of switching combination synchronization the controlled Duffing oscillator with Van der Pol system and Pendulum system is studied. Based on the theory of discontinuous dynamical systems, the analytical conditions for chaos synchronization of three different systems are obtained under sinusoidal constraints. With these conditions, the control parameter maps and the synchronization invariant sets are derived, respectively. Numerical illustrations for partial and full combination synchronization among three systems are carried out. The circuits of switching synchronization are used for the validation of the numerical simulations.

中文翻译：

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正弦约束下三个不同非自治系统的切换组合同步机制

摘要

本文研究了Van der Pol系统和Pendulum系统对受控Duffing振荡器进行开关组合同步的机理。基于不连续动力系统理论，在正弦约束下获得了三种不同系统混沌同步的解析条件。在这些条件下，分别导出控制参数图和同步不变集。进行了三个系统之间部分和完全组合同步的数值说明。开关同步电路用于数值仿真的验证。