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This article is cited in 14 scientific papers (total in 14 papers)
On the 75th birthday of Professor L.P. Shilnikov
Thick attractors of step skew products
Yu. Ilyashenkoab a V.A. Steklov Mathematical Institute, RAS, Gubkina str. 8, Moscow, 119991 Russia
b Cornell University, 310 Malott Hall, Ithaca, NY 14853-4201, USA
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.
Keywords:
Milnor attractors, thick attractors, ergodicity.
Received: 16.11.2009 Accepted: 04.12.2009
Citation:
Yu. Ilyashenko, “Thick attractors of step skew products”, Regul. Chaotic Dyn., 15:2-3 (2010), 328–334
Linking options:
https://www.mathnet.ru/eng/rcd498 https://www.mathnet.ru/eng/rcd/v15/i2/p328
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