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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

49 Citations (Scopus)

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.

Original language	English
Pages (from-to)	492-515
Number of pages	24
Journal	Nonlinearity
Volume	30
Issue number	2
DOIs	https://doi.org/10.1088/1361-6544/30/2/492
Publication status	Published - Feb 2017
Externally published	Yes

Keywords

contact Hamiltonian system
implicit variational principle
minimization method

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10.1088/1361-6544/30/2/492

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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

@article{51823845ef6448c8a7aacdd09a3773f7,

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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AU - Wang, Kaizhi

AU - Wang, Lin

AU - Yan, Jun

PY - 2017/2

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N2 - 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.

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.

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KW - implicit variational principle

KW - minimization method

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

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VL - 30

SP - 492

EP - 515

JO - Nonlinearity

JF - Nonlinearity

IS - 2

ER -

Implicit variational principle for contact Hamiltonian systems

Abstract

Keywords

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