On the Poincare Index of Isolated Invariant Sets

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In 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.

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Dynamical Systems, 37B30; 37C29

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http://salesiana.dossiersoluciones.com/handle/123456789/60967

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102143
 http://arxiv.org/abs/math/0102143

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arXiv