Berlin 2012 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 6: Delay Dynamics
DY 6.2: Vortrag
Montag, 26. März 2012, 15:15–15:30, MA 144
Dynamical properties of delay-coupled stochastic networks: On spectra, correlations and network topology — •Otti D'Huys1,2, Raul Vicente3, Jan Danckaert2, and Ingo Fischer4 — 1Institut für Theoretische Physik, Universität Würzburg, Germany — 2Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Belgium — 3Max-Planck-Institute for Brain Research, Frankfurt am Main, Germany — 4Instituto de Fisica Interdisciplinar y Sistemas Complejos, IFISC (UIB-CSIC), Palma de Mallorca, Spain
The dynamical properties of delay-coupled systems are of high current interest. So far the analysis has concentrated strongly on synchronisation properties. Here, we study how the network structure affects the dynamical properties of the nodes, if they do not synchronise completely. Therefore we study networks of stochastic linear units with delayed coupling, which cannot adapt their output to each other to show identical synchronisation. For these systems we can calculate analytically the correlation functions of the dynamics of different network nodes, and the corresponding spectra.
We find that both the spectrum and the autocorrelation function of a network element can be expressed as the average of the spectra of different single nodes with delayed feedback. We compare the correlation and spectral properties of stochastic linear maps to those of deterministic chaotic dynamical system. Although linear maps cannot show any form of synchrony, simply due to the network structure, they show correlation patterns and spectra that are strikingly similar to those observed in some deterministic chaotic delay-coupled networks.