Symmetric systems of Van Der Pol equations
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 solutionsAbstract
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.Downloads
Published
2006-03-01
How to Cite
1.
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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