Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2008-12-12
Nonlinear Sciences
Cellular Automata and Lattice Gases
5 pages, 4 figures, 1 table. To appear in Physics Letters A
Scientific paper
10.1016/j.physleta.2008.12.013
We present an intuitive formalism for implementing cellular automata on arbitrary topologies. By that means, we identify a symmetry operation in the class of elementary cellular automata. Moreover, we determine the subset of topologically sensitive elementary cellular automata and find that the overall number of complex patterns decreases under increasing neighborhood size in regular graphs. As exemplary applications, we apply the formalism to complex networks and compare the potential of scale-free graphs and metabolic networks to generate complex dynamics.
Huett Marc-Thorsten
Marr Carsten
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