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

Homoclinic bifurcations, fat attractors and invariant curves

Leonardo Mora 1,

1. 

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

Received  October 2000 Revised  November 2002 Published  June 2003

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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