Homoclinic bifurcations, fat attractors and invariant curves

Leonardo Mora

doi:10.3934/dcds.2003.9.1133

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2003, Volume 9, Issue 5: 1133-1148. Doi: 10.3934/dcds.2003.9.1133

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Homoclinic bifurcations, fat attractors and invariant curves

Leonardo Mora^1,

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

Received: October 2000

Revised: November 2002

Published: September 2003

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Abstract

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

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Mathematics Subject Classification: 34C23, 34C37, 37C29, 37G25, 37D45, 37C45.

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