E. Zhuzhoma

activity

20042021

collaborators

3 papers

math.DS2021

Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms

Vladislav Medvedev, Evgeny Zhuzhoma

We introduce Smale A-homeomorphisms that includes regular, semi-chaotic, chaotic, and super chaotic homeomorphisms of topo\-lo\-gi\-cal $n$ -manifold $M^{n}$ , $n \geq 2$ . Smale A-homeo…

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…

math.DS2004

On two-dimensional surface attractors and repellers on 3-manifolds

Viatcheslav Grines, Vladislav Medvedev, Evgeny Zhuzhoma

We show that if $f : M^{3} \to M^{3}$ is an $A$ -diffeomorphism with a surface two-dimensional attractor or repeller $B$ and $M_{B}^{2}$ is a supporting surface for $ \mat…