[PAST EVENT] Mathematics Colloquium: Matthew Morena (Christopher Newport University)
Access & Features
- Open to the public
Title: Some differential geometry of strange attractors
Abstract: The strange attractors of chaotic systems are among the most beautiful and intricate objects in all of mathematics (picture the famous Lorenz “Butterfly" attractor). Yet, rarely are these attractors completely understood, primarily because of the contrasting behaviors that these systems exhibit at local vs. global levels. How can something be both locally unstable and globally stable? In this talk, we will explore the local geometry of chaotic attractors in an effort to better understand their unpredictable nature. To do this, we will develop a method for determining the chaoticity of local regions around an attractor, and we will tailor the method according to the underlying nonlinear geometry of these attractors.