论文标题

联络全球动态汉密尔顿系统(i):单调系统

Global dynamics of contact Hamiltonian systems (I): monotone systems

论文作者

Jin, Liang, Yan, Jun

论文摘要

本文致力于描述单调接触汉密尔顿系统相相的动力学。特别注意定位最大吸引子(或驱虫剂),这可以看作是紧凑型不变集的结合,并研究了其拓扑和动力学特性。这是基于从类似梯度的系统的角度进行的分析。

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 topological and dynamical properties. This is based on an analysis from the viewpoint of gradient-like systems.

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