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math.DS2026
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…
math.DS2024
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…