On Relative Category and Morse Decompositions for Infinite-Dimensional Dynamical Systems
Dynamical Systems
2021-02-23 v2
Abstract
We employ the relative category to develop relations between the Wa\.zewski pair and the Morse decomposition of the maximal invariant set in for infinite-dimensional dynamical systems. Via these relations, we can detect connecting trajectories between Morse sets and obtain a dynamical-system version of critical point theorem with relative category.
Keywords
Cite
@article{arxiv.1910.05002,
title = {On Relative Category and Morse Decompositions for Infinite-Dimensional Dynamical Systems},
author = {Jintao Wang and Desheng Li},
journal= {arXiv preprint arXiv:1910.05002},
year = {2021}
}