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Equivariant Fixed Point Index and the Period-Doubling Cascades

Published online by Cambridge University Press:  20 November 2018

L. H. Erbe ,
K. Gęba  and
W. Krawcewicz
L. H. Erbe
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, AlbertaT6G 2G1
K. Gęba
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, AlbertaT6G 2G1
W. Krawcewicz
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, AlbertaT6G 2G1
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Properties of fixed points of equivariant maps have been studied by several authors including A. Dold (cf. [2], 1982), H. Ulrich (cf. [9], 1988), A. Marzantowicz (cf. [7], 1975) and others. Closely related is the work of R. Rubinsztein (cf. [8], 1976) in which he investigated homotopy classes of equivariant maps between spheres. There have been many attempts to introduce and effectively apply these concepts to nonlinear problems. In particular we mention the work of E. Dancer (cf. [1], 1982) in which some applications to nonlinear problems are given.

Keywords

55M2555P9158C30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 4 , 01 August 1991 , pp. 738 - 747
Copyright
Copyright © Canadian Mathematical Society 1991

References

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