Symmetric Liapunov center theorem for orbit with nontrivial isotropy group
| Autor: | Kowalczyk, Marta, P��rez-Chavela, Ernesto, Rybicki, S��awomir |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Popis: | In this article we prove two versions of the Liapunov center theorem for symmetric potentials. We consider a~second order autonomous system $\ddot q(t)=-\nabla U(q(t))$ in the presence of symmetries of a compact Lie group $\Gamma$ acting linearly on $\mathbb{R}^n.$ We look for non-stationary periodic solutions of this system in a~neighborhood of an orbit of critical points of the potential $U.$ Comment: 17 pages |
| Databáze: | OpenAIRE |
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