On the Hausdorff Dimension of Piecewise Hyperbolic Attractors

Details On the Hausdorff Dimension of Piecewise Hyperbolic Attractors On the Hausdorff Dimension of Piecewise Hyperbolic Attractors

2009-04-24

arxiv.org/abs/0904.3802v1

Mathematics

Dynamical Systems

21 pages, 5 figures

Scientific paper

We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff
dimension of the attractor is calculated in terms of the Lyapunov exponents,
provided that the map satisfies a transversality condition. Explicit examples
of maps for which this condition holds are given.

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