Zobrazeno 1 - 10
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pro vyhledávání: '"Pochinka, O."'
Autor:
Osenkov, E. M., Pochinka, O. V.
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 the same dimension of the unstable manifolds. The simplest example of
Externí odkaz:
http://arxiv.org/abs/2310.08476
Autor:
Pochinka, O., Talanova, E.
In the present paper we consider class $G$ of orientation preserving Morse-Smale diffeomorphisms $f$, which defined on closed 3-manifold $M^3$, and whose non-wandering set consist of four fixed points with pairwise different Morse indices. It follows
Externí odkaz:
http://arxiv.org/abs/2306.02814
In this paper, following J.Nielsen, we introduce a complete characteristic of orientation preserving periodic maps on the two-dimensional torus. All admissible complete characteristics were found and realized. In particular, each of classes of non-ho
Externí odkaz:
http://arxiv.org/abs/2112.01256
Autor:
Nozdrinova, E. V., Pochinka, O. V.
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 points are fixed and have a positive orientation type.
Externí odkaz:
http://arxiv.org/abs/2012.01140
The paper is a continuation of research in the direction of energy function (a smooth Lyapunov function whose set of critical points coincides with the chain recurrent set of a system) construction for discrete dynamical systems. The authors establis
Externí odkaz:
http://arxiv.org/abs/2009.10457
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Autor:
Morozov, A. I., Pochinka, O. V.
In the present paper we consider preserving orientation Morse-Smale diffeomorphisms on surfaces. Using the methods of factorization and linearizing neighborhoods we prove that such diffeomorphisms have a finite number of orientable heteroclinic orbit
Externí odkaz:
http://arxiv.org/abs/1909.13149
In this paper we give a complete topological classification of orientation preserving Morse-Smale diffeomorphisms on orientable closed surfaces. For MS diffeomorphisms with relatively simple behaviour it was known that such a classification can be gi
Externí odkaz:
http://arxiv.org/abs/1712.02230
Publikováno v:
Duke Math. J. 168, no. 13 (2019), 2507-2558
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 unstable manifolds of periodic orbits. The reason for this lies primarily in
Externí odkaz:
http://arxiv.org/abs/1710.08292
Autor:
Medvedev, T., Pochinka, O.
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 sooner or later in dynamics of discrete or continuous dynamical syste
Externí odkaz:
http://arxiv.org/abs/1707.00816