A variational principle for contact Hamiltonian systems

A variational principle for contact Hamiltonian systems
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DOI:
10.1016/j.jde.2019.04.031
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发表时间:
2019-09-15
影响因子:
2.4
通讯作者:
Yan, Jun
Yan, Jun
中科院分区:
数学2区
文献类型:
--
作者:
Wang, Ya-Nan;Yan, Jun

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本文将文[9]中的隐变分原理从T*M×R中具有紧致黎曼流形的自治接触哈密顿系统推广到具有完备黎曼流形的非自治系统。我们还给出了动作极小化的一些重要性质(C)2019 Elsevier Inc.保留所有权利。
In this paper, we generalize the implicit variational principle in [9] from autonomous contact Hamiltonian systems in T*M x R with M is a compact Riemannian manifold to the non-autonomous systems with M is a complete Riemannian manifold. We also give some important properties of action minimizers (C) 2019 Elsevier Inc. All rights reserved.