Sergey Glyzin
ul. Sovetskaya 14, Yaroslavl, 150003 Russia
Regional Scientific and Educational Mathematical Center of the Yaroslavl State University
Publications:
|
Glyzin S. D., Kolesov A. Y.
On a Method for Verifying Hyperbolicity
2025, vol. 30, no. 1, pp. 45-56
Abstract
An arbitrary diffeomorphism $f$ of class $C^1$ acting from an open subset $U$ of Riemannian manifold $M$ of dimension $m,$ $m\ge 2,$ into $f(U)\subset M$ is considered.
Let $A$ be a compact subset of $U$ invariant for $f,$ i.e. $f(A)=A.$
Various sufficient conditions are proposed under which $A$ is a hyperbolic set of the diffeomorphism $f.$
|