Seminar: Applications of Complex Networks - Wintersemester 2014/15

Ort: EW 731

Zeit: Dienstag, 10.02.2015, 12:15

Dynamics of networks with time-delayed pulsatile coupling

Vladimir Klinshov (Institute of Applied Physics, Nizhny Novgorod, Russia)

In many networks, signals between the nodes propagate with finite speed which leads to time-delayed coupling. Such networks are described by dynamical systems with time delays which typically have infinite dimension and therefore are complex for analytical and numerical study. The present talk is devoted to a specific class of systems, namely oscillatory networks with pulsatile coupling. The important feature of such networks is that even in the presence of coupling delays they often can be reduced to dynamical systems of finite dimension. We develop a mathematical apparatus to describe dynamics of networks with time-delayed pulsatile coupling and apply the developed technique to a number of setups.

zurück zur Seminarseite