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.

中文翻译：

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关于接触哈密顿系统的动力学：一、单调系统

本文致力于描述单调接触哈密顿系统的相流动力学。特别注意定位最大吸引器（或排斥器），它可以看作是紧致不变集的并集，并研究其动力学和拓扑性质。这是基于类梯度系统的分析。