3 citations · 15 across the 16 of their papers we have counts for
7 papers · 1 filter
On homeomorphisms of three-dimensional manifolds with pseudo-Anosov attractors and repellers
Vyacheslav Grines, Olga Pochinka, Ekaterina Chilina
The present paper is devoted to a study of orientation-preserving homeomorphisms on three-dimensional manifolds with a non-wandering set consisting of a finite number of surface at…
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…
Classification of NMS-flows with unique twisted saddle orbit on orientable 4-manifolds
Vladislav Galkin, Olga Pochinka, Danila Shubin
Topological equivalence of Morse-Smale flows without fixed points (NMS-flows) under assumptions of different generalities was studied in a number of papers. In some cases when the…
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…
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…
Topology of Ambient 3-Manifolds of Non-singular Flows with Twisted Saddle Orbit
Olga Pochinka, Danila Shubin
In the present paper, non-singular Morse-Smale flows on closed orientable 3-manifolds under the assumption that among the periodic orbits of the flow there is only one saddle one a…