Applied equivariant degree, part I:  An axiomatic approach to primary degree

Zalman Balanov; Wieslaw Krawcewicz; Haibo Ruan

doi:10.3934/dcds.2006.15.983

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2006, Volume 15, Issue 3: 983-1016. Doi: 10.3934/dcds.2006.15.983

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Applied equivariant degree, part I: An axiomatic approach to primary degree

1.
Department of Mathematics and Computer Sciences, Netanya Academic College, Netanya 42365
2.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1

Received: July 31, 2005

Revised: January 31, 2006

Published: August 2006

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Abstract

An axiomatic approach to the primary equivariant degree is discussed and a construction of the primary equivariant degree via fundamental domains is presented. For a class of equivariant maps, which naturally appear in one-parameter equivariant Hopf bifurcation, effective computational primary degree formulae are established.

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Mathematics Subject Classification: Primary: 58E05, 58E09; Secondary: 35J20.

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