V. Medvedev

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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…