Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 72: Poster: Stoch. and Nonl. Dy., Modeling, Compl. Sys.
DY 72.8: Poster
Thursday, March 15, 2018, 15:30–18:00, Poster A
Dynamics of asymmetrically coupled systems: averaging over qualitatively different systems? — •Domenic Wagner1 and Jens Christian Claussen2,1 — 1INB, Universität zu Lübeck, Germany — 2Computational Systems Biology, Jacobs University Bremen, Germany
Studying the dynamics of large coupled nonlinear systems with random interactions is a common approach to model the dynamics of a wide range of biological systems. One of the key parameters of stability has been identified in [1] as the asymmetry parameter of the coupling matrix. In [1| the Ljapunov exponent (of trajectories driven by a common noise source) has been investigated including averaging over many different coupling matrices, which however can belong to systems with qualitatively different phase spaces and attraction sets. We investigate specific of these cases including dynamics from evolutionary game theory and neural networks.
[1| L. Molgedey, J. Schuchhardt, H.G. Schuster,
PRL 69, 3717 (1992)