Seminars & Colloquia Calendar
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.