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^*

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

46 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	981-1023
页数	43
期刊	Communications in Mathematical Physics
卷	366
期	3
DOI	https://doi.org/10.1007/s00220-019-03362-2
出版状态	已出版 - 1 3月 2019
已对外发布	是

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10.1007/s00220-019-03362-2

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Wang, K., Wang, L., & Yan, J. (2019). Aubry–Mather Theory for Contact Hamiltonian Systems. Communications in Mathematical Physics, 366(3), 981-1023. https://doi.org/10.1007/s00220-019-03362-2

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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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year = "2019",

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AU - Yan, Jun

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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.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Aubry–Mather Theory for Contact Hamiltonian Systems

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