Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance

In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic solutions of the system. We apply the degree for G-invariant strongly indefinite functionals defined by Gołȩbiew...

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Detalles Bibliográficos
Autor principal: Gołȩbiewska, Anna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6223835/
https://www.ncbi.nlm.nih.gov/pubmed/30464374
http://dx.doi.org/10.1007/s10884-017-9608-0
Descripción
Sumario:In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic solutions of the system. We apply the degree for G-invariant strongly indefinite functionals defined by Gołȩbiewska and Rybicki in (Nonlinear Anal 74:1823–1834, 2011).

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