Showing math.DSShow all
3 papers · 1 filter
math.DS2023
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…
math.DS2023
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…
math.DS2023
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…