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An analytical method for Mathieu oscillator based on method of variation of parameter

  • Published:2016-08 Issue: Volume:37 Page:326-353
  • ISSN:1007-5704
  • Container-title:Communications in Nonlinear Science and Numerical Simulation
  • language:en
  • Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Li Xianghong,Hou Jingyu,Chen Jufeng

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hebei Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference32 articles.

1. Nonlinear oscillations;Nayfeh,1979

2. Bifurcations in a Mathieu equation with cubic nonlinearities;Ng;Chaos, Solitons & Fractals,2002

3. Bifurcations in a Mathieu equation with cubic nonlinearities: Part II;Ng;Commun Nonlinear Sci Numer Simul.,2002

4. The nonlinear Mathieu equation;Norris;Int J Bifurc Chaos,1994

5. Periodic solutions of strongly non-linear Mathieu oscillators;Mahmoud;Int J Non-linear Mech,1997

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