Hausdorff dimension for non-hyperbolic repellers II: Da diffeomorphisms
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Data
2005-12-01
Autores
Horita, Vanderlei [UNESP]
Viana, Marcelo
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Resumo
We study non-hyperbolic repellers of diffeomorphisms derived from transitive Anosov diffeomorphisms with unstable dimension 2 through a Hopf bifurcation. Using some recent abstract results about non-uniformly expanding maps with holes, by ourselves and by Dysman, we show that the Hausdorff dimension and the limit capacity (box dimension) of the repeller are strictly less than the dimension of the ambient manifold.
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Dimension theory, Non-uniform hyperbolicity, Repeller
Como citar
Discrete and Continuous Dynamical Systems, v. 13, n. 5, p. 1125-1152, 2005.