Complexity Measures from Interaction Structures

Details Complexity Measures from Interaction Structures Complexity Measures from Interaction Structures

2008-06-16

arxiv.org/abs/0806.2552v2

Nonlinear Sciences

Chaotic Dynamics

11 pages, figures improved, minor changes to the text

Scientific paper

10.1103/PhysRevE.79.026201

We evaluate new complexity measures on the symbolic dynamics of coupled tent
maps and cellular automata. These measures quantify complexity in terms of
$k$-th order statistical dependencies that cannot be reduced to interactions
between $k-1$ units. We demonstrate that these measures are able to identify
complex dynamical regimes.

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