# Mathematics Colloquium

#### Mechanisms for chaos

**Speaker:**
Amie Wilkinson, University of Chicago

**Location:**
Warren Weaver Hall 1302

**Date:**
Monday, December 9, 2019, 3:45 p.m.

**Synopsis:**

The term "chaos" refers to highly unpredictable behavior in a closed, deterministic system, butthere is no agreed-upon mathematical definition of a chaotic dynamical system. Certainly we have a feel for what chaos means: a typical orbit fills the phase space, a small error in initial condition can have disastrous consequences in the long run, and orbits behave in some sense randomly.

In this talk, I will discuss families of dynamical systems that are typically chaotic and the mechanisms behind this chaotic behavior.

A

In this talk, I will discuss families of dynamical systems that are typically chaotic and the mechanisms behind this chaotic behavior.

A

*mechanism*for a dynamical behavior has three interrelated features:- it is based on rough, geometric features of the system and as little a priori information about the actual dynamics as possible;
- it is verifiable in specific examples; and
- it is robust, persistent under perturbations of the system.

While touching upon topics of current research, the talk will be aimed at a graduate student level.