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The mechanism of switching combination synchronization for three distinct nonautonomous systems under sinusoidal constraints

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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.

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Acknowledgements

This work is supported by the National Nature Foundations of China under Grant Nos. 61971228, 61871230, 21875112 and the Postgraduate Research and Practice Innovation Program of Jiangsu Province of China under Grant No. SJCX19_0199.

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  1. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210023, China

    Fuhong Min & Hanyuan Ma

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  1. Fuhong Min
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  2. Hanyuan Ma
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Correspondence to Fuhong Min.

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Min, F., Ma, H. The mechanism of switching combination synchronization for three distinct nonautonomous systems under sinusoidal constraints. Nonlinear Dyn 100, 475–492 (2020). https://doi.org/10.1007/s11071-020-05516-7

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  • DOI: https://doi.org/10.1007/s11071-020-05516-7

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