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Seminar

An introduction to Delay Differential Equations and the Infinite Limit Cycle Bifurcation October 04, 2018 (04:00 PM PDT - 05:00 PM PDT)
Parent Program: --
Location: UC Berkeley Engineering (Etcheverry Hall 3110)
Speaker(s) Richard Rand (University of California Berkeley)
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Abstract/Media

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.

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