| Title: |
Morse predecomposition of an ivariant set |
| Authors: |
Lipiński, Michał, Mischaikow, Konstantin, Mrozek, Marian |
| Source: |
Qualitative Theory of Dynamical Systems 24, 5 (2025) |
| Publication Year: |
2023 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Dynamical Systems, 37B30 37B20 37B35 |
| More Details: |
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.
Comment: 29 pages (31 with bibliography), 9 figures |
| Document Type: |
Working Paper |
| DOI: |
10.1007/s12346-024-01144-3 |
| Access URL: |
http://arxiv.org/abs/2312.08013 |
| Accession Number: |
edsarx.2312.08013 |
| Database: |
arXiv |
