|Location:||UC Berkeley Engineering (Etcheverry Hall 3110)|
The differential equation x(t)'' + x(t) + x(t)^3 = 0 is conservative and admits no limit cycles. If the linear term x(t)
is replaced by a delayed term x(t-T), where T is the delay, the resulting delay differential equation exhibits an
infinite number of limit cycles. The amplitudes of the limit cycles go to infinity in the limit as T approaches zero.
This newly discovered bifurcation will be illustrated after a general introduction to delay differential equations.
This work is based on a 2017 paper with graduate students M. Davidow and B. Shayak.