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Type: Artigo de periódico
Title: The Conley index for discontinuous vector fields
Author: Casagrande, R
de Rezende, KA
Teixeira, MA
Abstract: In this paper, we define the Conley index h(D) for a region of discontinuity D of a piecewise C(k) discontinuous vector field Z on an n-dimensional compact Riemannian smooth orientable manifold and prove it to be a homotopy invariant. This invariance is obtained by regularization of the discontinuous vector field. We use an adapted form of Lyapunov graph continuation to produce, in a few examples, a regularization of the discontinuous vector field with the property that the dynamics in a regularized neighborhood of D has the same Conley index as h(D).
Subject: Conley index theory
discontinuous vector fields
Country: Holanda
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10711-008-9273-x
Date Issue: 2008
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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