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
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author Gołȩbiewska, Anna
author_facet Gołȩbiewska, Anna
author_sort Gołȩbiewska, Anna
collection PubMed
description 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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spelling pubmed-62238352018-11-19 Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance Gołȩbiewska, Anna J Dyn Differ Equ Article 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). Springer US 2017-08-10 2018 /pmc/articles/PMC6223835/ /pubmed/30464374 http://dx.doi.org/10.1007/s10884-017-9608-0 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Gołȩbiewska, Anna
Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title_full Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title_fullStr Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title_full_unstemmed Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title_short Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
title_sort periodic solutions of asymptotically linear autonomous hamiltonian systems with resonance
topic Article
url 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
work_keys_str_mv AT gołebiewskaanna periodicsolutionsofasymptoticallylinearautonomoushamiltoniansystemswithresonance

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