V. Medvedev

activity

20042021

most citedOn two-dimensional surface attractors and repellers on 3-manifolds

18 citations · 28 across the 9 of their papers we have counts for

collaborators

9 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…

astro-ph.SR2021★ 1 cited

Topological Quantification of the "Anemone" (Branching) Solar Flares

Evgeny V. Zhuzhoma, Vladislav S. Medvedev, Yurii V. Dumin +1

The so-called "anemone" solar flares are an interesting type of the space plasma phenomena, where multiple null points of the magnetic field are connected with each other and with…

math.DS2020

Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles

V. Medvedev, E. Zhuzhoma

We describe the topological structure of closed manifolds of dimension no less than four which admit Morse-Smale diffeomorphisms such that its non-wandering set contains any number…

math.DS2019

On 2-dimensional expanding attractors of A-flows

V. Medvedev, E. Zhuzhoma

We prove that given any closed $n$ -manifold $M^{n}$ , $n \geq 4$ , there is an A-flow $f^{t}$ on $M^{n}$ such that the non-wandering set $N W (f^{t})$ consists of 2-dimensional expanding attrac…

math.DS2018

On conjugacy of Smale homeomorphisms

V. Medvedev, E. Zhuzhoma

Given closed topological $n$ -manifold $M^{n}$ , $n \geq 2$ , one introduces the classes of Smale regular $S R H (M^{n})$ and Smale semi-regular $S s R H (M^{n})$ homeomorphisms of $M^{n}$ with $SRH(…

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…