Aubry–Mather Theory for Contact Hamiltonian Systems

Kaizhi Wang; Lin Wang; Jun Yan

doi:10.1007/s00220-019-03362-2

Aubry–Mather Theory for Contact Hamiltonian Systems

Kaizhi Wang, Lin Wang, Jun Yan^*

^*Corresponding author for this work

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

42 Citations (Scopus)

Abstract

In this paper, we focus on action-minimizing methods for contact Hamiltonian systems. Based on implicit variational principles introduced in Wang et al. (Nonlinearity 30:492–515, 2017), we generalize some fundamental results of Aubry–Mather theory and weak KAM theory from Hamiltonian systems to contact Hamiltonian systems with moderate increasing on the contact variable.

Original language	English
Pages (from-to)	981-1023
Number of pages	43
Journal	Communications in Mathematical Physics
Volume	366
Issue number	3
DOIs	https://doi.org/10.1007/s00220-019-03362-2
Publication status	Published - 1 Mar 2019
Externally published	Yes

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10.1007/s00220-019-03362-2

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title = "Aubry–Mather Theory for Contact Hamiltonian Systems",

abstract = "In this paper, we focus on action-minimizing methods for contact Hamiltonian systems. Based on implicit variational principles introduced in Wang et al. (Nonlinearity 30:492–515, 2017), we generalize some fundamental results of Aubry–Mather theory and weak KAM theory from Hamiltonian systems to contact Hamiltonian systems with moderate increasing on the contact variable.",

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

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AU - Yan, Jun

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AB - In this paper, we focus on action-minimizing methods for contact Hamiltonian systems. Based on implicit variational principles introduced in Wang et al. (Nonlinearity 30:492–515, 2017), we generalize some fundamental results of Aubry–Mather theory and weak KAM theory from Hamiltonian systems to contact Hamiltonian systems with moderate increasing on the contact variable.

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JF - Communications in Mathematical Physics

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Aubry–Mather Theory for Contact Hamiltonian Systems

Abstract

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