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math.DS2022
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…
math.DS2020★ 1 cited
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…