Universal Behavior in nonlinear systems (an Introduction)

Dynamical Systems Working Seminar
Friday, March 2, 2018 - 15:05
1 hour (actually 50 minutes)
Skiles 271
Georgia Tech
Given a one-parameter family of maps of an interval to itself, one can observe period doubling bifurcations as the parameter is varied. The aspects of those bifurcations which are independent of the choice of a particular one-parameter family are called universal. In this talk we will introduce, heuristically, the so-called Feigenbaun universality and then we'll expose some rigorous results about it.