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[PAST EVENT] Mathematics Colloquium: Matthew Morena (Christopher Newport University)

March 22, 2019
2pm - 3pm
Location
Jones Hall, Jones 302
200 Ukrop Way
Williamsburg, VA 23185Map this location
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.

Contact

Laura Storch