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Abstract
We define a spectral flow for paths of selfadjoint Fredholm operators that are equivariant under the orthogonal action of a compact Lie group as an element of the representation ring of the latter. This G-equivariant spectral flow shares all common properties of the integer valued classical spectral flow, and it can be non-trivial even if the classical spectral flow vanishes. Our main theorem uses the G-equivariant spectral flow to study bifurcation of periodic solutions for autonomous Hamiltonian systems with symmetries.
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Authors (3)
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Nils Waterstraat dr
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.na.2021.112475
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
no. 211,
ISSN: 0362-546X - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Izydorek M., Janczewska J., Waterstraat N.: The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems// NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS -Vol. 211, (2021), s.112475-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.na.2021.112475
- Sources of funding:
-
- Deutsche Forschungsgemeinschaft (DFG,German Research Foundation) - 459826435
- Project Morse theoretical methods in Hamiltonian dynamics
- Verified by:
- Gdańsk University of Technology
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