$SO(3)\times S^1$-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter

Authors

  • Zolman Balanov
  • Wiesław Krawcewicz
  • Heinrich Steinlein

Keywords

equivariant degree, symmetric Hopf bifurcation, steady-state bifurcation

Abstract

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.

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Published

2002-12-01

How to Cite

1.
BALANOV, Zolman, KRAWCEWICZ, Wiesław and STEINLEIN, Heinrich. $SO(3)\times S^1$-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter. Topological Methods in Nonlinear Analysis. Online. 1 December 2002. Vol. 20, no. 2, pp. 335 - 374. [Accessed 6 July 2025].

Issue

Vol 20, No 2 (December 2002)

Section

Articles

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