# Mini-course

## Coexistence of attractors and their stability

Liviana Palmisano (Uppsala U., Stony Brook)

Friday, November 8th, 2019
11:00 AM - 12:00 PM
Goergen 109

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.

Event contact: jriveral at ur dot rochester dot edu