Dresden 2014 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Networks - Statistics and Dynamics (joint session DY/ BP/ SOE)
DY 24.9: Talk
Wednesday, April 2, 2014, 17:15–17:30, ZEU 118
Stability of Boolean and continuous dynamics — •Fakhteh Ghanbarnejad1 and Konsatntin Klemm2,3 — 1Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany — 2Bioinformatics, Institute for Computer Science, University of Leipzig, Germany — 3Institute for Theoretical Chemistry, University of Vienna, Austria
Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations. (Phys. Rev. Lett. 107, 188701 (2011))