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Journal of Applied Mathematics - Volume 2014 2014, Article ID 341635, 9 pages -

Research Article

School of Management Science and Engineering, Shandong Normal University, Ji-nan 250014, China

School of Mathematical Sciences, Shandong Normal University, Ji-nan 250014, China

Received 16 December 2013; Accepted 1 April 2014; Published 29 April 2014

Academic Editor: Qiankun Song

Copyright © 2014 Xiaohui Sun and Xilin Fu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.





Autor: Xiaohui Sun and Xilin Fu

Fuente: https://www.hindawi.com/



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