Hyperbolic annulus principle |
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| Authors: | S. D. Glyzin A. Yu. Kolesov N. Kh. Rozov |
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| Affiliation: | 1.Lomonosov Moscow State University,Moscow,Russia;2.P.G. Demidov Yaroslavl State University,Yaroslavl,Russia |
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| Abstract: | ![]()
We study a special class of diffeomorphisms of an annulus (the direct product of a ball in ? k , k ≥ 2, by an m-dimensional torus). We prove the so-called annulus principle; i.e., we suggest a set of sufficient conditions under which each diffeomorphism in a given class has an m-dimensional expanding hyperbolic attractor. |
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