Description

• Title:
  Symmetric systems of Van Der Pol equations
• Creator:
  Balanov, Zolman;
  Farzamirad, Meymanat;
  Krawcewicz, Wiesław
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2006.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 27, No 1 (March 2006); 29 - 90;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.002/8862
• Subject:
  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;
  Primary 34C25;
  Secondary 47J05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.002
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other