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math.DS2026
On components of stable connectivity of gradient-like diffeomorphisms of the 2-torus
D. A. Baranov, E. V. Nozdrinova, O. V. Pochinka
Gradient-like diffeomorphisms of a closed surface are characterized by a finite hyperbolic limit set and the absence of intersections of invariant manifolds of distinct saddl…
math.DS2025
Topology of 4-manifolds that admit non-singular flows with saddle orbits of the same index
V. Galkin, O. Pochinka
This paper studies regular topological flows defined on closed {topological} manifolds . The chain recurrent set of such a flow consists of a finite number of topologica…
math.DS2024
Non-singular flows with twisted saddle orbit on orientable 3-manifolds
Olga Pochinka, Danila Shubin
In this paper we consider 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…