Homoclinic bifurcations, fat attractors and invariant curves

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September 2003, 9(5): 1133-1148. doi: 10.3934/dcds.2003.9.1133

Homoclinic bifurcations, fat attractors and invariant curves

1.	Departamento de Matemática, Facultad de Ciencias, La Hechicera, Mérida, 5101, Venezuela

Received October 2000 Revised November 2002 Published June 2003

Abstract
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Here we show examples of homoclinic bifurcations which can be perturbed to produce invariant curves and attractors with high Hausdorff dimension.

Keywords: endomorphims, invariant curves., Homoclinic bifurcations, Hausdorﬀ dimension, attractors.

Mathematics Subject Classification: 34C23, 34C37, 37C29, 37G25, 37D45, 37C4.

Citation: Leonardo Mora. Homoclinic bifurcations, fat attractors and invariant curves. Discrete & Continuous Dynamical Systems - A, 2003, 9 (5) : 1133-1148. doi: 10.3934/dcds.2003.9.1133

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