3 papers
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 -manifold () which admits a Morse-Smale diffeomorphism such that codimension one separatrices of saddles periodic poi…
math.DS2017
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…