Symmetric systems of Van Der Pol equations
KeywordsEquivariant 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
AbstractWe 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.
How to Cite
BALANOV, Zolman, FARZAMIRAD, Meymanat & KRAWCEWICZ, Wiesław. Symmetric systems of Van Der Pol equations. Topological Methods in Nonlinear Analysis [online]. 1 March 2006, T. 27, nr 1, s. 29–90. [accessed 5.6.2023].
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