V. Medvedev

collaborators

3 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…