This is a past event
Prof Pilyugin is a visiting academic from St. Petersburg State University, St. Petersburg, Russia.
Consider a dynamical system generated by a diffeomorphism f of a smooth closed manifold. The system is called structurally stable if any diffeomorphism g, C1 close to f, is topologically conjugate to f (i.e., the patterns of trajectories of the corresponding dynamical systems are the same from the topological point of view).The system has the shadowing property if, for any approximate trajectory, there is a close exact trajectory. It is known that a structurally stable system has the shadowing property while the converse is not always true. We show that, under some additional assumptions, the shadowing property implies structural stability.
- Speaker
- Prof Sergei Pilyugin
- Hosted by
- CADR
- Venue
- 105 (156) St Mary's