Coherent measures and the existence of smooth Lyapunov 1-forms for flows

Autor:	Janko Latschev
Rok vydání:	2006
Předmět:	Lyapunov function Closed manifold Invariant polynomial Isolated invariant set Mathematical analysis Invariant measure Finite type invariant symbols.namesake Asymptotic cycle symbols Vector field Smooth flow Geometry and Topology Lyapunov 1-form Invariant (mathematics) Mathematics
Zdroj:	Topology. 45:707-723
ISSN:	0040-9383
Popis:	Let a smooth vector field V on a smooth closed manifold M be given and let Z⊂M be an isolated invariant set for the flow of V. In this situation, we give a necessary and sufficient condition for the existence of a Lyapunov 1-form for (V,Z) in terms of the relative asymptotic cycles associated with certain invariant measures of the flow.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82b4f1fa4c97ae41cf2ae27a25139f16 https://doi.org/10.1016/j.top.2006.01.001 Zobrazit plný text záznamu Full Text from ScienceDirect