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NCTS Webinar on Nonlinear Evolutionary Dynamics
 
13:30 - 15:00, November 2, 2021 (Tuesday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
The Periodic Solutions of Scalar Delay Equations with Monotone Feedback and Even-odd Symmetry
Alejandro López-Nieto (Free University of Berlin)

Abstract:

Scalar delay differential equations are used to model phenomena in which a previous state of the system plays a role in its future evolution. The explicit inclusion of discrete-time lags produces infinite dimensional dynamical systems whose behavior is often too complex for pure mathematical analysis. However, under a monotone feedback assumption, Mallet-Paret and Sell showed a Poincaré-Bendixson type theorem that turns periodic solutions into cornerstones for the study of global dynamics.
 
In the talk, I will show how, under further symmetry assumptions, periodic solutions of delay differential equations with monotone feedback arise exclusively via a boundary value problem for a two-dimensional ordinary differential equation.
 
JOIN WEBEX MEETING
Meeting number (access code): 2519 154 7939
Meeting password: GMuMnCMj248 (46866265 from phones and video systems)


 

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