Description

• Title:
  $SO(3)\times S^1$-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter
• Creator:
  Balanov, Zolman;
  Krawcewicz, Wiesław;
  Steinlein, Heinrich
• Description:
  The reduced equivariant degree for $G=SO(3)\times S^1$ is introduced and studied in the case of one free parameter equivariant maps. Computational and multiplication tables for the reduced $SO(3)\times S^1$-equivariant degree are presented together with an application to an $SO(3)$-symmetric Hopf bifurcation problem. A method for classification of $SO(3)$-symmetric bifurcations is established.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 2 (December 2002); 335 - 374;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.040/9630
• Subject:
  equivariant degree;
  symmetric Hopf bifurcation;
  steady-state bifurcation;
  Primary 37G40;
  37C80;
  Secondary 55Q91;
  34A34;
  57R85
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.040
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other