Homotopy Conley index for discrete multivalued dynamical systems
Homotopy Conley index for discrete multivalued dynamical systems
复制标题
离散多值动力系统的同伦康利指数
DOI：
10.1016/j.topol.2006.03.009
复制
发表时间：
2006
影响因子：
0.6
通讯作者：
Kinga Stolot
中科院分区：
文献类型：
--
作者：
Kinga Stolot
We define an index of Conley type for a certain class of upper semicontinuous multivalued dynamical systems. We use the Szymczak functor and apply techniques introduced by Reineck, Mrozek and Srzednicki for the index over the base. Moreover we introduce the notion of the homotopy partial functor for the usc maps. We show that the index possesses Ważewski and homotopy properties. We also give four examples that exhibit the benefits of our index over the cohomological index defined by Mrozek and Kaczyński.
