A proof of Jones' conjecture
Jaquette, Jonathan
الأصل · EN
In this paper, we prove that Wright's equation y'(t) = - αy(t-1) {1 + y(t)} has a unique slowly oscillating periodic solution for parameter values α∈ (π2, 1.9], up to time translation. This result proves Jones' Conjecture formulated in 1962, that there is a unique slowly oscillating periodic orbit for all α> π2. Furthermore, there are no isolas of periodic solutions to Wright's equation; all periodic orbits arise from Hopf bifurcations.
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