TY - JOUR
T1 - Permutation complexity of spatiotemporal dynamics
AU - Amigó, J. M.
AU - Zambrano, S.
AU - Sanjun, M. A F
PY - 2010
Y1 - 2010
N2 - We call permutation complexity the kind of dynamical complexity captured by any quantity or functional based on order relations, like ordinal patterns and permutation entropies. These mathematical tools have found interesting applications in time series analysis and abstract dynamical systems. In this letter we propose to extend the study of permutation complexity to spatiotemporal systems, by applying some of its tools to a time series obtained by coarse-graining the dynamics and to state vectors at fixed times, considering the latter as sequences. We show that this approach allows to quantify the complexity and to classify different types of dynamics in cellular automata and in coupled map lattices. Furthermore, we show that our analysis can be used to discriminate between different types of spatiotemporal dynamics registered in magnetoencephalograms.
AB - We call permutation complexity the kind of dynamical complexity captured by any quantity or functional based on order relations, like ordinal patterns and permutation entropies. These mathematical tools have found interesting applications in time series analysis and abstract dynamical systems. In this letter we propose to extend the study of permutation complexity to spatiotemporal systems, by applying some of its tools to a time series obtained by coarse-graining the dynamics and to state vectors at fixed times, considering the latter as sequences. We show that this approach allows to quantify the complexity and to classify different types of dynamics in cellular automata and in coupled map lattices. Furthermore, we show that our analysis can be used to discriminate between different types of spatiotemporal dynamics registered in magnetoencephalograms.
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U2 - 10.1209/0295-5075/90/10007
DO - 10.1209/0295-5075/90/10007
M3 - Article
AN - SCOPUS:78751644026
VL - 90
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
SN - 0295-5075
IS - 1
M1 - 10007
ER -