35 citations · 200 across the 45 of their papers we have counts for
9 papers · 1 filter
Morse index of saddle equilibria of gradient-like flows on connected sums of
Vyacheslav Grines, Elena Gurevich, Sergiy Maksymenko
Let be either -sphere or a connected sum of finitely many copies of , . A flow on is called gradien…
Period functions for and flows
Sergiy Maksymenko
Let be a continuous flow on a topological manifold M. For every open denote by P(V) the set of all continuous functions such that …
Symmetries of center singularities of plane vector fields
Sergiy Maksymenko
Let D be a closed unit 2-disk on the plane centered at the origin 0, and F be a smooth vector field on D such that O is a unique singular point of F and all other orbits of F are s…
Symmetries of degenerate center singularities of plane vector fields
Sergiy Maksymenko
Let be a closed unit -disk on the plane centered at the origin , and be a smooth vector field such that is a unique singular point of and all other orbits of…
Reparametrizations of vector fields and their shift maps
Sergiy Maksymenko
Let be a smooth manifold, be a smooth vector field on , and be the local flow of . Denote by the space of smooth maps of the following form:…
Local inverses of shift maps along orbits of flows
Sergiy Maksymenko
Let be a smooth manifold and be a vector field on . My article ["Smooth shifts along trajectories of flows", Topol. Appl. 130 (2003) 183-204, arXiv:math/0106199] concern…