From steady to irregular. The role of time delay in pathological dynamics of disease.

18/01/2019, 14:00 - 15:00 in MAP/0G/018

Kiss, Gabor (Queen’s University Belfast)


Abstract:

In a physiological control system, reaction to any change in the state of the system is rarely, if ever, instantaneous. To model such past dependence of deterministic processes, delay differential equations have been formulated. In this talk, we will use one of the most famous equations with challenging dynamics, the Mackey-Glass equation, to describe some of the modern mathematical and computational tools available for studying dynamical systems of infinite dimension generated by delay differential equations.