The Aubry Set and Mather Set in the Embedded Contact Hamiltonian System
The Aubry Set and Mather Set in the Embedded Contact Hamiltonian System
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DOI：
10.1007/s10114-022-0531-x
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发表时间：
2022-07
期刊：
影响因子：
--
通讯作者：
Xia Li
中科院分区：
文献类型：
--
作者：
Xia Li
We embed the Aubry set and Mather set in the Tonelli Hamiltonian system to the contact Hamiltonian system. We find the embedded Aubry set is the set of non-wandering points of the contact Hamiltonian system and the Mather set is the support of set of the invariant Borel probability measures for the contact Euler—Lagrange flow. From this viewpoint, we can conclude that Aubry set and Mather set are symplectic invariants.
