Colloquium November 3
Date: Friday November 3
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Evelyn Sander of George Mason Univ
Title: Unstable dimension variability and scaling laws for a global bifurcation in three dimensions
Abstract
A crisis is a global bifurcation in which a chaotic attractor has
a discontinuous change in size or suddenly disappears as a scalar
parameter of the system is varied. In this talk, I describe a
global bifurcation in three dimensions which can result in a
crisis. This bifurcation does not involve a tangency and cannot
occur in maps of dimension smaller than three. The crisis
produces unstable dimension variability. The crisis results in a
new scaling law describing the density of the new portion of the
attractor formed in the bifurcation.
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