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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 116–134
DOI: https://doi.org/10.4213/tm4045 (Mi tm4045) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On Some Sufficient Hyperbolicity Conditions

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150003 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (261 kB) Citations (7)
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DOI: https://doi.org/10.4213/tm4045
Abstract: We consider an arbitrary $C^1$ diffeomorphism $f$ that acts from an open subset $U$ of a Riemannian manifold $M$ of dimension $m$, $m\ge 2$, to $f(U)\subset M$. Let $A$ be a compact $f$-invariant (i.e., $f(A)=A$) subset in $U$. We propose various sufficient conditions under which $A$ is a hyperbolic set of $f$.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055
This work was supported by the Russian Foundation for Basic Research, project no. 18-29-10055.
Received: February 10, 2019
Revised: October 16, 2019
Accepted: October 20, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 107–124
DOI: https://doi.org/10.1134/S0081543820010095
Bibliographic databases:
Document Type: Article
UDC: 517.926+517.938
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On Some Sufficient Hyperbolicity Conditions”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 116–134; Proc. Steklov Inst. Math., 308 (2020), 107–124
Citation in format AMSBIB
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\paper On Some Sufficient Hyperbolicity Conditions
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\vol 308
\pages 116--134
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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