论文标题
离散多价动力学系统的Conley索引理论中的Morse方程
The Morse equation in the Conley index theory for discrete multivalued dynamical systems
论文作者
论文摘要
Conley索引对无连续选择器的离散多价动力系统的最新概括是由数据驱动动力学应用的动机。在本文中，我们通过在这种情况下研究吸引子培训对和摩尔斯分解来继续该计划。特别是，我们证明了莫尔斯方程和摩尔斯的不平等。
A recent generalization of the Conley index to discrete multivalued dynamical systems without a continuous selector is motivated by applications to data-driven dynamics. In the present paper we continue the program by studying attractor-repeller pairs and Morse decompositions in this setting. In particular, we prove Morse equation and Morse inequalities.
