Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Localized States and Solitons in Delay-differential Equations with Large Delay
Matthias Wolfrum (Weierstrass Institute)
Abstract
Localized states are an universal phenomenon in spatially extended nonlinear systems. Recently, also temporally localized states have gained some attention, mainly driven by applications in various optical systems, where the dynamics of short optical pulses can be described by DDE models. We present a theory for such states, which appear as periodic solutions with a period close to the round trip time of the system. We study such solutions by using the singular limit of large delay. We derive a desingularized equation for the solution profiles, and study the corresponding Floquet spectrum for their stability. To this end, we derive an Evans function and discuss the analogies and differences to the classical theory for localized states in spatially extended systems.
Meeting number (access code): 2515 172 5707
Meeting password: dqJmjhr2i22
Organizers: Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NTHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Alejandro López-Nieto (NTU), Chang-Hong Wu (NYCU)
