Calculus of Variations and Geometric Measure Theory

Nonwandering points of continuous dynamical systems and constructive controllability

Eugene Stepanov (St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences)

created by gelli on 16 Apr 2020

22 apr 2020 -- 17:00   [open in google calendar]



We will give an overview of the recent results stating how can one constructively slightly perturb a smooth vector field in order to make a given point periodic under the flow it produces (for nonwandering points this is the statements of the celebrated Pugh's closing lemma for dynamical systems), and relate this to classical questions in control theory of constructing explicitly the controls to reach the given point (or several points). Joint work with Sergey Kryzhevich.