V. Grines

activity

20172021

most citedA complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2021

Morse index of saddle equilibria of gradient-like flows on connected sums of $S^{n - 1} \times S^{1}$

Vyacheslav Grines, Elena Gurevich, Sergiy Maksymenko

Let $M$ be either $n$ -sphere $S^{n}$ or a connected sum of finitely many copies of $S^{n - 1} \times S^{1}$ , $n \geq 4$ . A flow $f^{t}$ on $M$ is called gradien…

math.DS2018

On Embedding of Multidimensional Morse-Smale Diffeomorphisms in Topological Flows

Vyacheslav Z. Grines, Elena Y. Gurevich, Olga V. Pochinka

J.~Palis found necessary conditions for a Morse-Smale diffeomorphism on a closed $n$ -dimensional manifold $M^{n}$ to embed into a topological flow and proved that these conditions ar…

math.DS2017★ 1 cited

A complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two

V. Z. Grines, O. V. Pochinka, S. van Strien

In this paper we give a complete topological classification of orientation preserving Morse-Smale diffeomorphisms on orientable closed surfaces. For MS diffeomorphisms with relativ…

Morse index of saddle equilibria of gradient-like flows on connected sums of Sn−1×S1

On Embedding of Multidimensional Morse-Smale Diffeomorphisms in Topological Flows

A complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two

Morse index of saddle equilibria of gradient-like flows on connected sums of $S^{n - 1} \times S^{1}$