Periodic orbits for the generalized Yang–Mills Hamiltonian system in dimension 6

被引：0
作者：
Fatima Ezzahra Lembarki
Jaume Llibre
机构：
[1] Universitat Autònoma de Barcelona,Departament de Matemàtiques
来源：
Nonlinear Dynamics | 2014年 / 76卷
关键词：
Periodic orbits; Yang–Mills; Averaging theory;
D O I：
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学科分类号：
摘要：
We apply the averaging theory to study a generalized Yang–Mills Hamiltonian system in dimension 6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$6$$\end{document} with six parameters. We provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.
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页码：1807 / 1819
页数：12
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