Berlin 2015 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 5: Networks: From Topology to Dynamics I (joint session SOE / DY / BP)
SOE 5.3: Talk
Monday, March 16, 2015, 12:45–13:00, MA 001
Excitable dynamics and cellular automata dynamics on loop-free networks — •Anne-Wiebke Harder1,2 and Jens Christian Claussen2,1 — 1Institut für Neuro- und Bioinformatik, Universität zu Lübeck — 2Computational Systems Biology Lab, Jacobs University Bremen
Spreading dynamics on graphs or networks have attracted considerable attention in the context of pattern
formation and infection dynamics [1]. Here we investigate patterns generated by excitable dynamics [2]
comprised by the states of susceptible - excitable - recovered, as well as cellular automata dynamics started
from a localized seed on lattices and loop-free graphs [3]. The latter type of dynamics exhibits interesting
characteristics as 1/f type spectra [4] and relates to new integer sequences [5]. Finally we investigate cellular-automata (CA) like
limiting cases of the SER dynamics.
[1] C. Kamp PLoS Comput Biol 6 e1000984 (2010)
[2] M. Müller-Linow, C. Marr, M.-T. Hütt, Phys. Rev. E 74 026112 (2006)
[3] J.C. Claussen, J. Math. Phys. 49 062701 (2009)
[4] J. Nagler and J.C. Claussen Phys. Rev. E 71 067103 (2005)
[5] J.C. Claussen, in: Online Encyclopedia of Integer Sequences, entries http://oeis.org/A138276 and
http://oeis.org/A138277 (2008)