- Tytuł:
- Reconstructing the global dynamics of attractors via the Conley index
- Autorzy:
- McCord, Christopher
- Powiązania:
- https://bibliotekanauki.pl/articles/1341683.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Conley index
semi-conjugacy
simplicial complex
attractor - Opis:
- Given an unknown attractor in a continuous dynamical system, how can we discover the topology and dynamics of ? As a practical matter, how can we do so from only a finite amount of information? One way of doing so is to produce a semi-conjugacy from onto a model system whose topology and dynamics are known. The complexity of then provides a lower bound for the complexity of . The Conley index can be used to construct a simplicial model and a surjective semi-conjugacy for a large class of attractors. The essential features of this construction are that the model can be explicitly described; and that the finite amount of information needed to construct it is computable.
- Źródło:
-
Banach Center Publications; 1999, 47, 1; 145-156
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł