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Title
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Persistence of stationary motion under explicit symmetry breaking perturbation
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Author
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Abstract
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| Explicit symmetry breaking occurs when a dynamical system having a certain symmetry group is perturbed to a system which has strictly less symmetry. We give a geometric approach to study this phenomenon in the setting of Hamiltonian systems. We provide a method for determining the equilibria and relative equilibria that persist after a symmetry breaking perturbation. In particular a lower bound for the number of each is found, in terms of the equivariant Lyusternik-Schnirelmann category of the group orbit. |
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Language
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English
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Source (journal)
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Nonlinearity. - Bristol
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Publication
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Bristol
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Institute of Physics
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2019
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ISSN
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0951-7715
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DOI
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10.1088/1361-6544/AB003E
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Volume/pages
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32
:6
(2019)
, p. 1999-2023
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ISI
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000466895800004
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Full text (Publisher's DOI)
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Full text (open access)
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