Journal of Jilin University Science Edition

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Periodic Solution of Van der Pol Equation with Periodic Force

QU Jingjia1,2, ZHOU Ran2,3, HUANG Kaiyin2   

  1. 1. Department of Foundation, Aviation University of Air Force, Changchun 130022, China; 2. College of Mathematics, Jilin University, Changchun 130012, China;3. Faculty of Agriculture, Jilin University, Changchun 130062, China
  • Received:2013-10-11 Online:2014-07-26 Published:2014-09-26
  • Contact: ZHOU Ran E-mail:zhouran@jlu.edu.cn

Abstract:

Using the renormalization group method based on the theory of envelope the authors gave the uniformly valid asymptotic expansion form of the spike solution, on the basis of which the authors also presented the onecycle time of the spike solution.

Key words: Van der Pol equation, perturbation method, renormalization group method, spike solution

CLC Number: 

  • O175.1