Complex Analysis, Dynamics and Geometry
A Complete Description of the Non-splitting Bifurcations of the Complex Polynomial Vector Fields in C
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 |
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Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Complex Analysis, Dynamics and Geometry Seminar - Department of Mathematics |