Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Coexistence of attractors and their stability

Vortrag von Dr. Liviana Palmisano

Sprecher eingeladen von: Prof. Dr. Corinna Ulcigrai

Datum: 25.11.19  Zeit: 14.00 - 15.00  Raum: ETH HG G 43

In unfoldings of rank-one homoclinic tangencies, there exist codimension 2 laminations of maps with infinitely many sinks. The sinks move simultaneously along the leaves. As consequence, in the space of real polynomial maps, there are examples of: Hénon maps, in any dimension, with infinitely many sinks, quadratic Hénon-like maps with infinitely many sinks and a period doubling attractor, quadratic Hénon-like maps with infinitely many sinks and a strange attractor. The coexistence of non-periodic attractors, namely two period doubling attractors or two strange attractors, and their stability is also discussed.