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[PAST EVENT] Mathematics Colloquium/CSUMS Lecture
April 8, 2011
3pm - 4pm
Title: Braids in dynamics
Abstract: Pieces of string or curves in three dimensional space may be knotted or braided. This physical idea can be used as a topological tool to study certain types of dynamical systems. In particular, such an approach leads to forcing theorems in the spirit of the famous "period three implies chaos" for interval maps. We discuss an application to a differential equation from the field of pattern formation. This involves several illuminating topological arguments, which are complemented by an illustrative computer-assisted approach.
Abstract: Pieces of string or curves in three dimensional space may be knotted or braided. This physical idea can be used as a topological tool to study certain types of dynamical systems. In particular, such an approach leads to forcing theorems in the spirit of the famous "period three implies chaos" for interval maps. We discuss an application to a differential equation from the field of pattern formation. This involves several illuminating topological arguments, which are complemented by an illustrative computer-assisted approach.
Contact
[[sldayx, Sarah Day]]