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Nonlinear Analysis

Genericity, Analyticity, and Global Bifurcation of  Periodic Solutions of Delay Equations

John Mallet-Paret, Brown University

Location:  HILL 705
Date & time: Tuesday, 10 October 2017 at 1:40PM - 2:40PM

Abstract:   We study the global bifurcation of periodic solutions for a class of delay-differential equations of Mackey-Glass type. In particular, the presence of a period-doubling cascade of periodic solutions is established. The proof relies on generic properties (in the sense of Kupka-Smale) for classes of such equations. We also discuss some open questions related to generic properties and analyticity of the solution branches.

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