Geodesic
On Some Sufficient Hyperbolicity Conditions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 116-134

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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 $f$. 
@article{TM_2020_308_a8,
     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {On {Some} {Sufficient} {Hyperbolicity} {Conditions}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {116--134},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a8/}
}
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. On Some Sufficient Hyperbolicity Conditions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 116-134. http://geodesic.mathdoc.fr/item/TM_2020_308_a8/