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Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint

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  • Xiaohui Sun
  • Xilin Fu

Abstract

This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems. The analytical conditions for the sinusoidal synchronization of the Van der Pol equation with a periodically forced pendulum are developed. With the conditions, the sinusoidal synchronizations of the two systems are discussed. Switching points for appearance and vanishing of the partial synchronization are developed.

Suggested Citation

  • Xiaohui Sun & Xilin Fu, 2014. "Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:341635
    DOI: 10.1155/2014/341635
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    References listed on IDEAS

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    1. Chen, Zhang, 2009. "Complete synchronization for impulsive Cohen–Grossberg neural networks with delay under noise perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1664-1669.
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    Cited by:

    1. Claudio Urrea & John Kern, 2020. "Integrating ROS and IoT in a Virtual Laboratory for Control System Engineering," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).

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