Zbigniew Szafraniec
Title: On the family of trajectories of an analytic gradient flow which converge to a critical point
Abstract:
Let f: R^n —> R be an analytic function having a critical point at the origin. Let T(f) be the family of
trajectories of the gradient flow converging to the origin, and let S(f) be the stable set of the origin
which is the union all orbits of trajectories that converge to the origin. The talk will present topological
conditions which imply that the set T(f) is infinite, or that the set S(f) has a non-empty interior.