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Home » Hamiltonian Postdoc Workshop: A proof of Jones’ conjecture: counting and discounting periodic orbits in a delay differential equation

Seminar

Hamiltonian Postdoc Workshop: A proof of Jones’ conjecture: counting and discounting periodic orbits in a delay differential equation November 14, 2018 (02:15 PM PST - 03:00 PM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Jonathan Jaquette (MSRI - Mathematical Sciences Research Institute)
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Abstract/Media

In 1962 G.S. Jones conjectured that the nonlinear delay differential equation

known as Wright’s equation has a unique slowly oscillating periodic solution for all pa-

rameters above a particular value. This talk presents a computer-assisted proof of the

conjecture. Furthermore, we show there are no isolas of periodic solutions to Wright's

equation; all periodic orbits arise from Hopf bifurcations.

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