Lyapunov 1-forms for flows

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dc.creatorFarber, M.
dc.creatorKappeler, T.
dc.creatorLatschev, J.
dc.creatorZehnder, E.
dc.date2002-10-31
dc.date2003-02-10
dc.date.accessioned2026-07-07T04:52:31Z
dc.date.available2026-07-07T04:52:31Z
dc.descriptionIn this paper we find conditions which guarantee that a given flow $Φ$ on a compact metric space $X$ admits a Lyapunov one-form $ω$ lying in a prescribed Čech cohomology class $ξ\in \check H^1(X;\R)$. These conditions are formulated in terms of the restriction of $ξ$ to the chain recurrent set of $Φ$. The result of the paper may be viewed as a generalization of a well-known theorem of C. Conley about the existence of Lyapunov functions.
dc.description27 pages, 3 figures. This revised version incorporates a few minor improvements
dc.identifierhttps://arxiv.org/abs/math/0210473
dc.identifierhttp://arxiv.org/abs/math/0210473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65489
dc.subjectDynamical Systems
dc.subjectAlgebraic Topology
dc.titleLyapunov 1-forms for flows
dc.typetext

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