# American Institute of Mathematical Sciences

August  2006, 15(3): 983-1016. doi: 10.3934/dcds.2006.15.983

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

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

Received  August 2005 Revised  February 2006 Published  April 2006

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.
Citation: Zalman Balanov, Wieslaw Krawcewicz, Haibo Ruan. Applied equivariant degree, part I: An axiomatic approach to primary degree. Discrete and Continuous Dynamical Systems, 2006, 15 (3) : 983-1016. doi: 10.3934/dcds.2006.15.983
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