Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation

An old conjecture in delay equations states that Wright's equation has a unique slowly oscillating periodic solution (SOPS) for every parameter value greater than pi/2. We reformulate this conjecture and we use a method called validated continuation to rigorously compute a global continuous branch of SOPS of Wright's equation. Using this method, we show that a part of this branch does not possess any fold point, partially answering the new reformulated conjecture.

The following links provide the programs sufficient to carry out the main result of the above mentioned work.


Matlab code using the interval arithmetic package Intlab which perform the rigorous continuation: intvalWrightCont.m

The three following Maple programs helps computing the analytic coefficients of the radii polynomials: D.mw, C.mw and hatC.mw.