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Complex Analysis, Dynamics and Geometry

A Complete Description of the Non-splitting Bifurcations of the Complex Polynomial Vector Fields in C
Monday, October 3, 2016
4:00-5:00 PM
3096 East Hall Map
In this talk, the qualitative dynamics of the vector fields in the complex plane defined by complex polynomials is studied. The ultimate goal is to give a description of the possible bifurcations that can occur, i.e., given an arbitrary point c in parameter space, what are the topological-equivalence classes that intersect every neighborhood of c? The goal of this talk is to describe the non-splitting bifurcations: the bifurcations that can occur when when the multiplicities of the equilibrium points are preserved under small perturbation. It will be proved that any non-splitting bifurcation can be realized as a composition of simpler bifurcations from a finite list. Speaker(s): Kealey Dias (Bronx Community College)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Complex Analysis, Dynamics and Geometry Seminar - Department of Mathematics