Realizability of the Morse polytope

Autor: Margarida P. Mello, Ketty A. de Rezende, Ricardo N. Cruz
Rok vydání: 2005
Předmět:
Zdroj: Qualitative Theory of Dynamical Systems. 6:59-86
ISSN: 1662-3592
1575-5460
DOI: 10.1007/bf02972668
Popis: In this article we will show that, in general, for each integral point (γ0,...,γ n ) in the Morse polytope,P κ (h o , ...,h n ), one can associate an abstract Lyapunov graphL(h o , ...,h n ,κ) withntd-labelling and realize a corresponding flow onM n , where the Betti numbers ofM n satisfy β j (M n )=β n−j (M n )=γ j for all 0
Databáze: OpenAIRE
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