Implicit variational principle for contact Hamiltonian systems

Kaizhi Wang; Lin Wang; Jun Yan

doi:10.1088/1361-6544/30/2/492

Implicit variational principle for contact Hamiltonian systems

Kaizhi Wang, Lin Wang, Jun Yan^*

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

49 引用（Scopus）

摘要

We establish an implicit variational principle for the contact Hamiltonian systems generated by the Hamiltonian H(x, u, p) with respect to the contact 1-form under Tonelli and Lipschitz continuity conditions.

源语言	英语
页（从-至）	492-515
页数	24
期刊	Nonlinearity
卷	30
期	2
DOI	https://doi.org/10.1088/1361-6544/30/2/492
出版状态	已出版 - 2月 2017
已对外发布	是

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Wang, K., Wang, L., & Yan, J. (2017). Implicit variational principle for contact Hamiltonian systems. Nonlinearity, 30(2), 492-515. https://doi.org/10.1088/1361-6544/30/2/492

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title = "Implicit variational principle for contact Hamiltonian systems",

abstract = "We establish an implicit variational principle for the contact Hamiltonian systems generated by the Hamiltonian H(x, u, p) with respect to the contact 1-form under Tonelli and Lipschitz continuity conditions.",

keywords = "contact Hamiltonian system, implicit variational principle, minimization method",

author = "Kaizhi Wang and Lin Wang and Jun Yan",

note = "Publisher Copyright: {\textcopyright} 2016 IOP Publishing Ltd & London Mathematical Society.",

year = "2017",

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doi = "10.1088/1361-6544/30/2/492",

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AB - We establish an implicit variational principle for the contact Hamiltonian systems generated by the Hamiltonian H(x, u, p) with respect to the contact 1-form under Tonelli and Lipschitz continuity conditions.

KW - contact Hamiltonian system

KW - implicit variational principle

KW - minimization method

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DO - 10.1088/1361-6544/30/2/492

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Implicit variational principle for contact Hamiltonian systems

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