On the dynamics of contact Hamiltonian systems: I. Monotone systems
On the dynamics of contact Hamiltonian systems: I. Monotone systems
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关于接触哈密顿系统的动力学：I. 单调系统
DOI：
10.1088/1361-6544/abe833
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发表时间：
2021
期刊：
影响因子：
1.7
通讯作者：
Yan Jun
中科院分区：
文献类型：
--
作者：
Jin Liang;Yan Jun
本文描述了单调接触哈密顿系统相流的动力学。特别注意定位最大吸引子（或排斥子），它可以被看作是紧不变集的并集，并研究其动力学和拓扑性质。这是基于从类梯度系统的观点进行的分析。
This article is devoted to a description of the dynamics of the phase flow of monotone contact Hamiltonian systems. Particular attention is paid to locating the maximal attractor (or repeller), which could be seen as the union of compact invariant sets, and investigating its dynamical and topological properties. This is based on an analysis from the viewpoint of gradient-like systems.