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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 9: Poster - Glasses / Stat. Phys. Bio. / Networks (joint session DY/BP/CPP/SOE)

SOE 9.29: Poster

Tuesday, April 1, 2014, 09:30–12:30, P1

Propagation and propagation failure of waves on excitable tree networks — Nikos Kouvaris¹, •Thomas Isele², Alexander Mikhailov³, and Eckehard Schöll² — ¹Department of Physics, University of Barcelona, Marti i Franques 1, 08028, Barcelona, Spain — ²Institut für theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany — ³Department of Physical Chemistry, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany

We study the properties of pulse solutions on excitable tree networks by means of numerical (simulation and continuation) as well as analytical methods. We focus on the dependence of the propagation velocity and the change of stability properties with respect to the branching ratio (i.e. degree) of the nodes. But we also consider different coupling strengths and the continuous (thermodynamic) limit of our model.