23 citations · 30 across the 7 of their papers we have counts for
7 papers
Morse-Smale 3-diffeomorphisms with saddles of the same unstable manifold dimension
E. M. Osenkov, O. V. Pochinka
In this paper, we consider a class of Morse-Smale diffeomorphisms defined on a closed 3-manifold (non-necessarily orientable) under the assumption that all their saddle points have…
On the topology of 3-manifolds admitting Morse-Smale diffeomorphisms with four fixed points of pairwise different Morse indices
O. Pochinka, E. Talanova
In the present paper we consider class of orientation preserving Morse-Smale diffeomorphisms , which defined on closed 3-manifold , and whose non-wandering set consist…
On a structure of non-wandering set of an -stable 3-diffeomorphism possessing a hyperbolic attractor
Marina Barinova, Olga Pochinka, Evgeniy Yakovlev
This paper belongs to a series of papers devoted to the study of the structure of the non-wandering set of an A-diffeomorphism. We study such set for an -stable diffeomo…
Links and dynamics
Valeriy Bardakov, Tatyana Kozlovskaya, Olga Pochinka
Knots naturally appear in continuous dynamical systems as flow periodic trajectories. However, discrete dynamical systems are also closely connected with the theory of knots and li…
On classification of periodic maps on the 2-torus
D. Baranov, V. Grines, O. Pochinka +1
In this paper, following J.Nielsen, we introduce a complete characteristic of orientation preserving periodic maps on the two-dimensional torus. All admissible complete characteris…
On 2-diffeomorphisms with one-dimensional basic sets and a finite number of moduli
V. Z. Grines, O. V. Pochinka, S. Van Strien
This paper is a step towards the complete topological classification of Ω-stable diffeomorphisms on an orientable closed surface, aiming to give necessary and sufficient conditions…