E. Zhuzhoma

activity

20042025

most citedOn heteroclinic separators of magnetic fields in electrically conducting fluids

23 citations · 33 across the 10 of their papers we have counts for

collaborators

10 papers

math.DS2025

Nonsingular structural stable chaotic 3-flows of attractor-repeller type

Zhentao Lai, V. Medvedev, Bin Yu +1

We show that any orientable closed 3-manifold $M$ admits structurally stable non-singular flow $f^{t}$ whose non-wandering set $N W (f^{t})$ consists of a 2-dimensional expanding attract…

math.DS2024

On existence of expanding attractors with different dimensions

V. Medvedev, E. Zhuzhoma

We prove that $n$ -sphere $S^{n}$ , $n \geq 2$ , admits structurally stable diffeomorphisms $S^{n} \to S^{n}$ with non-orientable expanding attractors of any topolog…

math.DS2024

On a classification of axiom A diffeomorphisms with codimension one basic sets and isolated saddles

V. Medvedev, E. Zhuzhoma

Let $M^{n}$ , $n \geq 3$ , be a closed orientable $n$ -manifold and $D_{k} (M^{n}; a, b, c)$ the set of axiom A diffeomorp\-hisms $f : M^{n} \to M^{n}$ satisfying the following conditions: (1…

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(…