V. Grines

activity

20162023

most citedTopological classification of Morse-Smale diffeomorphisms on 3-manifolds

31 citations · 44 across the 8 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.DS2021

On decomposition of ambient surfaces admitting A-diffeomorphisms with nontrivial attractors and repellers

V. Grines, D. Mints

It is well-known that there is a close relationship between the dynamics of diffeomorphisms satisfying the axiom $A$ and the topology of the ambient manifold. In the given article,…

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…

On decomposition of ambient surfaces admitting A-diffeomorphisms with nontrivial attractors and repellers

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

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