Symmetric systems of Van Der Pol equations

Authors

  • Zolman Balanov
  • Meymanat Farzamirad
  • Wiesław Krawcewicz

Keywords

Equivariant degree, primary degree, basic degree, dihedral, tetrahedral, octahedral and icosahedral symmetry group, van der Pol systems of non-linear oscillators, periodic solutions, topological classification of symmetric periodic solutions

Abstract

We study the impact of symmetries on the occurrence of periodic solutions in systems of van der Pol equations. We apply the equivariant degree theory to establish existence results for multiple nonconstant periodic solutions and classify their symmetries. The computations of the algebraic invariants in the case of dihedral, tetrahedral, octahedral and icosahedral symmetries for a van der Pol system of equations are included.

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Published

2006-03-01

How to Cite

1.
BALANOV, Zolman, FARZAMIRAD, Meymanat and KRAWCEWICZ, Wiesław. Symmetric systems of Van Der Pol equations. Topological Methods in Nonlinear Analysis. Online. 1 March 2006. Vol. 27, no. 1, pp. 29 - 90. [Accessed 22 September 2023].

Issue

Vol 27, No 1 (March 2006)

Section

Articles

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