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Эта публикация цитируется в 14 научных статьях (всего в 14 статьях)
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
Аннотация:
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.
Ключевые слова:
Milnor attractors, thick attractors, ergodicity.
Поступила в редакцию: 16.11.2009 Принята в печать: 04.12.2009
Образец цитирования:
Yu. Ilyashenko, “Thick attractors of step skew products”, Regul. Chaotic Dyn., 15:2-3 (2010), 328–334
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd498 https://www.mathnet.ru/rus/rcd/v15/i2/p328
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