Talk
Dynamical Fixed Points?
- Bob Simon (Universität Göttingen)
Abstract
Given a compact subset C of R^n and a correspondence
F : C ---> R^n
(i.e. a subset of C x R^n), which conditions may insure the existence of an "infinite orbit". i.e. an infinite sequence x_0, x_1, ... with (x_i,x_{i+1}) in F for all i?
If F is "continuous", one can find a compact non-empty subset D of C with "F(D)=D". However, when can this be improved to yield the existence of an infinite orbit?
