Topological transitive skew product with a negative shvarcian of fiber maps

Автор: Efremova L.S., Filchenkov A.S.

Журнал: Труды Московского физико-технического института @trudy-mipt

Статья в выпуске: 4 (16) т.4, 2012 года.

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We separate the class of topologically transitive skew products of maps of an interval with a negative Schwarzian of the family of fibers maps. We prove the criterion of the destinguishing of topologically transitive maps the above class. This criterion is based on the property of the uniform approximability of the phase space by periodic orbits. Moreover, we construct the example of the skew product defined on the closed rectangle with the attractor with nonempty interior.

Topological transitivity, attractor, skew product

Короткий адрес: https://sciup.org/142185880

IDR: 142185880

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