V. Grines

activity

20172021

most citedNon-autonomous vector fields on

S^{3}

: simple dynamics and wild separatrices embedding

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.DS2018

On embedding of arcs and circles in 3-manifolds in an application to dynamics of rough 3-diffeomorhisms with two-dimensional expanding attractor

Viacheslav Z. Grines, Evgeny V. Kruglov, Timur V. Medvedev +1

A topological classification of many classes of dynamical systems with regular dynamics in low dimensions is often reduced to combinatorial invariants. In dimension 3 combinatorial…

math.DS2018

Morse-Smale systems without heteroclinic submanifolds on codimension one separatrices

Viacheslav Z. Grines, Vladislav S. Medvedev, Evgeny V. Zhuzhoma

We study a topological structure of a closed $n$ -manifold $M^{n}$ ( $n \geq 3$ ) which admits a Morse-Smale diffeomorphism such that codimension one separatrices of saddles periodic poi…