1 citations · 2 across the 19 of their papers we have counts for
19 papers
Structure of Morse flows with at most six singular points on the torus with a hole
Maria Loseva, Alexandr Prishlyak, Kateryna Semenovych +1
We describe all possible topological structures of Morse flows and typical gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole in the case that the numb…
Morse functions with four critical points on immersed 2-spheres
Svitlana Bilun, Bohdana Hladysh, Alexandr Prishlyak +1
We investigate topological properties of simple Morse functions with 4 critical points on immersed 2-spheres. To classify such functions, dual graph of immersion and Reeb graphs is…
Structures of the flows with a unique singular point on the 2-dimensional disk
Alexandr Prishlyak, Serhii Stas
We investigate topological propeties of flows with one singular point and without closed orbits on the 2-dimensional disk. To classify such flows, destingueshed graph is used, whic…
Typical one-parameter bifurcations of gradient flows with at most six singular points on the 2-sphere with holes
Svitlana Bilun, Maria Loseva, Olena Myshnova +1
We describe all possible topological structures of typical one-parameter bifurcations of gradient flows on the 2-sphere with holes in the case that the number of singular point of…
Gradient vector fields of codimension one on the 2-sphere with at most ten singular points
Svitlana Bilun, Bohdana Hladysh, Alexandr Prishlyak +1
We describe all possible topological structures of codimension one gradient vector fields on the shpere with at most ten singular points. To describe structures, we use a graph who…
Structures of optimal discrete gradient vector fields on surface with one or two critical cells
Svitlana Bilun, Maria Hrechko, Olena Myshnova +1
We describe all possible structures of discrete vector field (discrete Morse functions) with minimal number of critical cells on the regular CW-complex for the 2-disk (1 cell), the…