Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronisation and Chaos
DY 10.10: Vortrag
Dienstag, 27. März 2012, 12:00–12:15, MA 001
(contribution withdrawn) Global synchronisation of excitable units induced by network dynamics — •Claudio J. Tessone1 and Damián H. Zanette2 — 1Chair of Systems Design, ETH Zürich. Kreuzplatz 5, CH-8032 Zürich, Switzerland — 2Departamento de Física Estadística e Interdisciplinar, Centro Atómico Bariloche. R8400 S. C. de Bariloche, Argentina
In many cases of interest, the structure describing the interaction network underlying a given system evolves over time. However, its full --often complex-- structure, becomes apparent only when seen over long time-scales, in many cases much larger than those associated with the internal dynamics of the elements represented by the nodes. Take a social network as a prototypic example: individuals can interact only with a very limited subset of their acquaintances over a given period of time. Then, over a limited interval, the network looks rather sparse. Despite of this, several dynamical processes are able to survive and spread though real-world networks, such as diseases and opinions. In this contribution, we study a sparsely connected network of excitable FitzHugh-Nagumo units (not subject to any kind of perturbation), in which the edges randomly rewire at a given rate. We show that a globally synchronised state can be induced solely by the network dynamics. If the rewiring rate is too slow or fast, no emergent dynamics appear, and the units rest in the fixed point of the dynamics. However, there exists an intermediate range of values of the rate of link recombination where all the units fire in a synchronised fashion. This shows that this phenomenon is not a trivial one induced by global coupling, but the outcome of an interplay between node and network dynamics.