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Attractors and skew productsстатья
- Авторы: Ilyashenko Yu, Shilin I.
- Сборник: Modern Theory of Dynamical Systems
- Серия: Contemporary Mathematics
- Том: 692
- Год издания: 2017
- Место издания: AMS
- Первая страница: 155
- Последняя страница: 175
- DOI: 10.1090/conm/692/13926
- Аннотация: Different notions of attractors and relations between them are considered. The major new result claims that Lyapunov unstable Milnor attractors are topologically generic in a space of diffeomorphisms of any manifold of dimension greater than one. This result is due to the second author. A sketch of the proof is given. New robust properties of diffeomorphisms obtained with the help of the so called Ilyashenko-Gordetski strategy are described.
- Добавил в систему: Ильяшенко Юлий Сергеевич