期刊
NONLINEAR DYNAMICS
卷 100, 期 1, 页码 475-492出版社
SPRINGER
DOI: 10.1007/s11071-020-05516-7
关键词
Switching synchronization; Three nonautonomous systems; Combination synchronization; Synchronous invariant sets
资金
- National Nature Foundations of China [61971228, 61871230, 21875112]
- Postgraduate Research and Practice Innovation Program of Jiangsu Province of China [SJCX19_0199]
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.
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