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SUMMARY:Jiaqi Yang (GeorgiaTech)
DTSTART:20200925T185000Z
DTEND:20200925T195000Z
DTSTAMP:20260423T004655Z
UID:MPHA/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPHA/15/">Pe
 rsistence of Invariant Objects in Functional Differential Equations close 
 to ODEs</a>\nby Jiaqi Yang (GeorgiaTech) as part of TAMU: Mathematical Phy
 sics and Harmonic Analysis Seminar\n\n\nAbstract\nWe consider functional d
 ifferential equations which are perturbations of ODEs in $\\mathbb{R}^n$. 
 This is a singular perturbation problem even for small perturbations. We p
 rove that for small enough perturbations\, some invariant objects of the u
 nperturbed ODEs persist and depend on the parameters with high regularity.
  We formulate a-posteriori type of results in the case when the unperturbe
 d equations admit periodic orbits. The results apply to state-dependent de
 lay equations and equations which arise in the study of electrodynamics. T
 he proof is constructive and leads to an algorithm. This is a joint work w
 ith Joan Gimeno and Rafael de la Llave.\n
LOCATION:https://researchseminars.org/talk/MPHA/15/
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