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July 15, 2026
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Attractors and skew products

P. 155–175.
Ilyashenko Y., Shilin I.

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.

Language: English
DOI
Keywords: слоенияfoliationsNONHYPERBOLIC ERGODIC MEASURE

In book

Contemporary Mathematics
Vol. 692: Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov. , Providence, Rhode Island: American Mathematical Society, 2017.
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