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2014 Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint
Xiaohui Sun, Xilin Fu
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/341635

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.

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Xiaohui Sun. Xilin Fu. "Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/341635

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131532
MathSciNet: MR3206875
Digital Object Identifier: 10.1155/2014/341635

Rights: Copyright © 2014 Hindawi

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