Morse predecomposition of an ivariant set
Dynamical Systems
2024-11-28 v1
Abstract
Motivated by the study of the recurrent orbits in a Morse set of a Morse decomposition, we introduce the concept of Morse predecomposition of an isolated invariant set in the setting of combinatorial and classical dynamical systems. We prove that a Morse predecomposition indexed by a poset is a Morse decomposition and we show how a Morse predecomposition may be condensed back to a Morse decomposition.
Cite
@article{arxiv.2312.08013,
title = {Morse predecomposition of an ivariant set},
author = {Michał Lipiński and Konstantin Mischaikow and Marian Mrozek},
journal= {arXiv preprint arXiv:2312.08013},
year = {2024}
}
Comments
29 pages (31 with bibliography), 9 figures