3 citations · 6 across the 8 of their papers we have counts for
10 papers
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…
On Topological Classification of Morse-Smale Diffeomorphisms on the Sphere
Vyachesval Grines, Elena Gurevich, Olga Pochinka +1
We consider a class of orientation preserving Morse-Smale diffeomorphisms of the sphere of dimension in assumption that invariant manifolds of different sadd…
On existence of a Morse energy function for topological flows with finite chain recurrent sets
Timur V. Medvedev, Olga V. Pochinka, Svetlana Kh. Zinina
We prove the existence of a continuous Morse energy function for an arbitrary topological flow with finite hyperbolic (in topological sense) chain recurrent set on a topological ma…
On embedding of arcs and circles in 3-manifolds in an application to dynamics of rough 3-diffeomorhisms with two-dimensional expanding attractor
Viacheslav Z. Grines, Evgeny V. Kruglov, Timur V. Medvedev +1
A topological classification of many classes of dynamical systems with regular dynamics in low dimensions is often reduced to combinatorial invariants. In dimension 3 combinatorial…