DPG Phi
Verhandlungen
Verhandlungen
DPG

Berlin 2005 – scientific programme

Parts | Days | Selection | Search | Downloads | Help

DY: Dynamik und Statistische Physik

DY 30: Spiral Formation and Feedback

DY 30.2: Talk

Monday, March 7, 2005, 10:30–10:45, TU H3010

Analytical tools for solving dynamics with time delay — •Andreas Amann1, Wolfram Just2 und Eckehard Schöll11Institut für Theoretische Physik, Technische Universität Berlin,Hardenbergstr. 36, D–10623 Berlin — 2School of Mathematical Sciences, Queen Mary / University of London, Mile End Road, London E1 4NS, United Kingdom

Time-delay dynamics plays a prominent role in such diverse fields of science as e.g. biological systems, internet traffic, or the control of complex motion. Even for simple model systems analytical approaches face considerable challenges because of infinite dimensional phase spaces. We review in elementary terms how eigenmode expansions can be used to solve linear differential-difference equations and how the spectrum of the corresponding eigenvalue problem can be computed in terms of transcendental functions. We use such schemes for two particular applications: (i) the determination of power spectra of stochastic delay-dynamics, and (ii) the weakly nonlinear perturbation theory for time-delayed feedback control of chaos.

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2005 > Berlin