31 citations · 106 across the 27 of their papers we have counts for
5 papers · 1 filter
A complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two
V. Z. Grines, O. V. Pochinka, S. van Strien
In this paper we give a complete topological classification of orientation preserving Morse-Smale diffeomorphisms on orientable closed surfaces. For MS diffeomorphisms with relativ…
Topological classification of Morse-Smale diffeomorphisms on 3-manifolds
Ch. Bonatti, V. Grines, O. Pochinka
Topological classification of even the simplest Morse-Smale diffeomorphisms on 3-manifolds does not fit into the concept of singling out a skeleton consisting of stable and unstabl…
The wild Fox-Artin arc in invariant sets of dynamical systems
T. Medvedev, O. Pochinka
The modern qualitative theory of dynamical systems is thoroughly intertwined with the fairly young science of topology. Strange and even bizarre constructions of topology are found…
Topoligical classification of -stable flows on surfaces by means of effectively distinguishable multigraphs
Vladislav Kruglov, Dmitry Malyshev, Olga Pochinka
Structurally stable (rough) flows on surfaces have only finitely many singularities and finitely many closed orbits, all of which are hyperbolic, and they have no trajectories join…
Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds
Ch Bonatti, V Grines, F Laudenbach +1
We show that, up to topological conjugation, the equivalence class of a Morse-Smale diffeomorphism without heteroclinic curves on 3-manifold is completely defined by an em- bedding…