1 citations · 1 across the 5 of their papers we have counts for
5 papers
On classification of periodic maps on the 2-torus
D. Baranov, V. Grines, O. Pochinka +1
In this paper, following J.Nielsen, we introduce a complete characteristic of orientation preserving periodic maps on the two-dimensional torus. All admissible complete characteris…
Non-autonomous vector fields on : simple dynamics and wild separatrices embedding
V. Z. Grines, L. M. Lerman
We construct new substantive examples of non-autonomous vector fields on 3-dimensional sphere having a simple dynamics but non-trivial topology. The construction is based on two id…
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…
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 -manifold () which admits a Morse-Smale diffeomorphism such that codimension one separatrices of saddles periodic poi…
On hyperbolic attractors and repellers of endomorphisms
Viacheslav Z. Grines, Evgeniy D. Kurenkov
It is well known that topological classification of dynamical systems with hyperbolic dynamics is significantly defined by dynamics on nonwandering set. F. Przytycki generalized ax…