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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…
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…
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…