Van der Pol's oscillator under the parametric and forced excitations

Authors

  • Nguyen Van Dao
  • Nguyen Van Dinh Vietnam Academy of Sciences, Hanoi
  • Tran Kim Chi Vietnam Academy of Sciences, Hanoi

DOI:

https://doi.org/10.15625/0866-7136/29/3/5533

Abstract

Van der Pol's oscillator under parametric and forced excitations is studied. The case where the system contains a small parameter being quasilinear and the general case (without assumption on the smallness of nonlinear terms and perturbations) are studied. In the first case, equations of the first approximation are obtained by means of the Krylov-Bogoliubov-Mitropolskii technique, their averaging is performed, frequency amplitude and resonance curves are studied, on the stability of the given system is considered. In the second case, the possibility of chaotic behavior in a deterministic system of oscillator type is shown.

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Published

22-09-2007

How to Cite

Dao, N. V., Dinh, N. V., & Chi, T. K. (2007). Van der Pol’s oscillator under the parametric and forced excitations. Vietnam Journal of Mechanics, 29(3), 207–219. https://doi.org/10.15625/0866-7136/29/3/5533

Issue

Section

Research Paper

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