4 papers
Enumeration of one-cycle signed chord diagrams and their duals for optimal Morse flows on closed surfaces
Alexandr Prishlyak
Optimal Morse vector fields on closed surfaces, i.e.\ fields with the minimal possible number of critical points (a single source and a single sink), are classified up to topologic…
The structure of Morse flows and co-dimension one gradient flows on the sphere with holes
Illia Ovtsynov, Alexandr Prishlyak
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…
Structure of optimal gradient flows bifurcations on closed surfaces
Illia Ovtsynov, Alexandr Prishlyak
We consider structure of typical gradient flows bifurcations on closed surfaces with minimal number of singular points. There are two type of such bifurcations: saddle-node (SN) an…
Structure of the codimesion one gradient flows with at most six singular points on the Möbius strip
Maria Loseva, Alexandr Prishlyak, Kateryna Semenovych +1
We describe all possible topological structures of Morse flows and typical one-parametric gradient bifurcation on the Möbius strip in the case that the number of singular point of…