We consider delay differential equations of the form\(y^{\prime}(t)=-ay (t)+ bf (y (t-1))\) with
positive parameters a, b and a unimodal\(f:[0,\infty)\rightarrow [0, 1]\). It is assumed that the …

Mackey-Glass equation arises in the leukemia model. We generalize this equation to
include fractional-order derivatives in two directions. The first generalization contains one …

We provide sufficient conditions for the existence of invariant probability measures for
generic stochastic differential equations with finite time delay. Applications include the …

We present adaptation of the relatively simple topological argument to show the existence of
many periodic orbits in a system of Delay Differential Equations. Namely, we prove a …

Symplectic numerical integrators for Hamiltonian systems form the paramount class of
geometric numerical integrators, and have been very well investigated in the past forty …

The story of the ‘Mackey-Glass’ equation Page 1 The story of the ‘Mackey-Glass’ equation Draft
version: compiled from ”STORY OF MG”.tex Michael C. Mackey * Friday 2nd December …