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Regular and Chaotic Dynamics

, Volume 15, Issue 2–3, pp 328–334 | Cite as

Thick attractors of step skew products

  • Yu. Ilyashenko
L.P. Shilnikov-75 Special Issue

Abstract

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.

Key words

attractor diffeomorphism step skew product 

MSC2000 numbers

37Cxx 

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Cornell UniversityIthacaUSA

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