Delay in the System: Oscillations caused by non-trivial response time

When
Start: 11/30/2016 - 4:15pm
End  : 11/30/2016 - 5:15pm

Category
Colloquium

Speaker
Lauren Lazarus (HMC)

Abstract

Delayed terms in differential equations are frequently considered for their representation of information travel time or other physical effects between members of a system.  Interesting behaviors also occur when an individual unit has internal delay, implying information processing and response time.  In both cases, the delay may affect the resonance and synchronization behavior of the system.

I will introduce a model of an oscillator whose periodic motion is solely caused by its internal delay.    We will use perturbation methods to investigate how this model reacts to different styles of coupling and forcing.  In these contexts, we explore similarities and differences in behavior between this model and the traditional ODE oscillator models.

 

Where
Kravis Center Lower Court 62, Claremont McKenna College