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On the bifurcations of subharmonics in reversible systems

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Singularity Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((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.

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV4 7AL, Coventry

    J. E. Furter

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  1. J. E. Furter
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Mark Roberts Ian Stewart

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© 1991 Springer-Verlag

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Furter, J.E. (1991). On the bifurcations of subharmonics in reversible systems. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085431

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  • DOI: https://doi.org/10.1007/BFb0085431

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53736-6

  • Online ISBN: 978-3-540-47047-2

  • eBook Packages: Springer Book Archive

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