Conley index for random dynamical systems

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dc.creatorLiu, Zhenxin
dc.date2006-09-01
dc.date2006-09-02
dc.date.accessioned2026-07-07T07:24:23Z
dc.date.available2026-07-07T07:24:23Z
dc.descriptionConley index theory is a very powerful tool in the study of dynamical systems, differential equations and bifurcation theory. In this paper, we make an attempt to generalize the Conley index to discrete random dynamical systems. And we mainly follow the Conley index for maps given by Franks and Richeson in [6]. Furthermore, we simply discuss the relations of isolated invariant sets between time-continuous random dynamical systems and the corresponding time-$h$ maps. For applications we give several examples to illustrate our results.
dc.description29 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0609011
dc.identifierhttp://arxiv.org/abs/math/0609011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116331
dc.subjectDynamical Systems
dc.subjectProbability
dc.subject37B30; 37B55; 37H99
dc.titleConley index for random dynamical systems
dc.typetext

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