3 citations · 9 across the 9 of their papers we have counts for
13 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…
Characteristic space of orbits of Morse-Smale diffeomorphisms on surfaces
Elena Nozdrinova, Olga Pochinka, Ekaterina Tsaplina
The classical approach to the study of dynamical systems consists in representing the dynamics of the system in the form of a "source-sink", that means identifying an attractor-rep…
There are no structural stable Axiom A 3-diffeomorphisms with dynamics "one-dimensional surfaced attractor-repeller"
Olga Pochinka
In this paper, we study the structural stability of three-dimensional diffeomorphisms with source-sink dynamics. Here the role of source and sink is played by one-dimensional hyper…
Stable arcs connecting polar cascades on a torus
E. V. Nozdrinova, O. V. Pochinka
In this paper, we obtain a solution to the 33rd Palis-Pugh problem for polar gradient-like diffeomorphisms on a two-dimensional torus, under the assumption that all non-wandering p…