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On the bifurcations of subharmonics in reversible systems

  • J. E. Furter
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1463)

Abstract

Following Vanderbauwhede’s approach [23], the study of the local bifurcation of subharmonics in reversible systems leads to reduced equations equivariant under the dihedral groups. Depending on the dimension of the space, or on the type of the involution, the bifurcation equations can change significantly. We investigate some unusual properties of those equations. In particular we classify up to topological codimension 1 the degenerate bifurcations when the dimension of the space is odd and the signature of the involution is +1.

Keywords

Periodic Solution Normal Form Bifurcation Diagram Recognition Problem Dihedral Group 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • J. E. Furter
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventry

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