Reducible problem for a class of almost-periodic non-linear Hamiltonian systems

This paper studies the reducibility of almost-periodic Hamiltonian systems with small perturbation near the equilibrium which is described by the following Hamiltonian system: [Formula: see text] It is proved that, under some non-resonant conditions, non-degeneracy conditions, the suitable hypothesi...

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Detalles Bibliográficos
Autores principales: Afzal, Muhammad, Ismaeel, Tariq, Jamal, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096923/
https://www.ncbi.nlm.nih.gov/pubmed/30839579
http://dx.doi.org/10.1186/s13660-018-1787-7
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author Afzal, Muhammad
Ismaeel, Tariq
Jamal, Muhammad
author_facet Afzal, Muhammad
Ismaeel, Tariq
Jamal, Muhammad
author_sort Afzal, Muhammad
collection PubMed
description This paper studies the reducibility of almost-periodic Hamiltonian systems with small perturbation near the equilibrium which is described by the following Hamiltonian system: [Formula: see text] It is proved that, under some non-resonant conditions, non-degeneracy conditions, the suitable hypothesis of analyticity and for the sufficiently small ε, the system can be reduced to a constant coefficients system with an equilibrium by means of an almost-periodic symplectic transformation.
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spelling pubmed-60969232018-08-24 Reducible problem for a class of almost-periodic non-linear Hamiltonian systems Afzal, Muhammad Ismaeel, Tariq Jamal, Muhammad J Inequal Appl Research This paper studies the reducibility of almost-periodic Hamiltonian systems with small perturbation near the equilibrium which is described by the following Hamiltonian system: [Formula: see text] It is proved that, under some non-resonant conditions, non-degeneracy conditions, the suitable hypothesis of analyticity and for the sufficiently small ε, the system can be reduced to a constant coefficients system with an equilibrium by means of an almost-periodic symplectic transformation. Springer International Publishing 2018-07-28 2018 /pmc/articles/PMC6096923/ /pubmed/30839579 http://dx.doi.org/10.1186/s13660-018-1787-7 Text en © The Author(s) 2018 Open Access This 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 Research
Afzal, Muhammad
Ismaeel, Tariq
Jamal, Muhammad
Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title_full Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title_fullStr Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title_full_unstemmed Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title_short Reducible problem for a class of almost-periodic non-linear Hamiltonian systems
title_sort reducible problem for a class of almost-periodic non-linear hamiltonian systems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096923/
https://www.ncbi.nlm.nih.gov/pubmed/30839579
http://dx.doi.org/10.1186/s13660-018-1787-7
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