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

Shanghai Jiao Tong University
Tsinghua University
Fudan University

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

54 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",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

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language = "English",

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T1 - Aubry–Mather Theory for Contact Hamiltonian Systems

AU - Wang, Kaizhi

AU - Wang, Lin

AU - Yan, Jun

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85061742964

U2 - 10.1007/s00220-019-03362-2

DO - 10.1007/s00220-019-03362-2

M3 - Article

AN - SCOPUS:85061742964

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VL - 366

SP - 981

EP - 1023

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Aubry–Mather Theory for Contact Hamiltonian Systems

Abstract

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