Thick attractors of step skew products

2010, Volume 15, Numbers 2-3, pp. 328-334

Author(s): Ilyashenko Y. S.

A diffeomorphism is said to have a thick attractor provided that its Milnor attractor has positive but not full Lebesgue measure. We prove that there exists an open set in the space of boundary preserving step skew products with a fiber [0,1], such that any map in this set has a thick attractor.

Keywords: Milnor attractors, thick attractors, ergodicity

Citation: Ilyashenko Y. S., Thick attractors of step skew products, Regular and Chaotic Dynamics, 2010, Volume 15, Numbers 2-3, pp. 328-334

DOI: 10.1134/S1560354710020188

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