WIAS Preprint No. 2639, (2019)

Global bifurcation analysis of limit cycles for a generalized van der Pol system


Authors

  • Schneider, Klaus R.
  • Grin, Alexander

2010 Mathematics Subject Classification

  • 34C05 34C23 34E15

Keywords

  • Global bifurcation analysis, generalized van der Pol system, Dulac--Cherkas function, rotated vector field, singularly perturbed system

DOI

10.20347/WIAS.PREPRINT.2639

Abstract

We present a new approach for the global bifurcation analysis of limit cycles for a generalized van der Pol system. It is based on the existence of a Dulac-Cherkas function and on applying two topologically equivalent systems: one of them is a rotated vector field, the other one is a singularly perturbed system.

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