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.
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