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DY: Fachverband Dynamik und Statistische Physik

DY 29: Statistical physics of complex networks

DY 29.1: Talk

Friday, March 27, 2009, 10:15–10:30, ZEU 255

Automated moment closure and oscillations in adaptive networks — •Thilo Gross — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany

Adaptive networks combine topological evolution OF a network with dynamics ON the network. Recently a number of new phenomena that appear in this class of systems have been reported. One methods by which adaptive networks can be studied is the moment closure approximation, which yields a low-dimensional system of differential equations. In this talk I will first explain the conventional moment closure approach and then present automated moment closure (AMC) as an extension. In AMC appropriate closure terms are computed on-demand from short bursts individual-based simulation. Despite these micro-level simulations the system is analyzed directly on a macro-level, i.e., as a low-dimensional system of ordinary differential equations describing emergent system-level properties. This approach is used to find regions of oscillatory dynamics in an epidemiological susceptible-infected-susceptible model. Unlike oscillations on static network, the oscillatory dynamics on the adaptive network involves topological as well as local degrees of freedom.