On the Poincare Index of Isolated Invariant Sets

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dc.creatorRazvan, M. R.
dc.creatorFiroozabad, M. Fotouhi
dc.date2001-02-19
dc.date.accessioned2026-07-07T04:40:14Z
dc.date.available2026-07-07T04:40:14Z
dc.descriptionIn this paper, we use Conley index theory to examine the Poincare index of an isolated invariant set. We obtain some limiting conditions on a critical point of a planar vector field to be an isolated invariant set. As a result we show the existence of infinitely many homoclinic orbits for a critical point with the Poincare index greater than one.
dc.identifierhttps://arxiv.org/abs/math/0102143
dc.identifierhttp://arxiv.org/abs/math/0102143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60967
dc.subjectDynamical Systems
dc.subject37B30; 37C29
dc.titleOn the Poincare Index of Isolated Invariant Sets
dc.typetext

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