Coherence Properties of Coupled Chaotic Map Lattices
M. Janowicza,b and A. Orłowskia,b
aChair of Computer Science, Warsaw University of Life Sciences, Nowoursynowska 159, 02-766 Warsaw, Poland
bInstitute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland
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Strong global correlations in the systems of coupled chaotic map lattices based on a modified logistic map are investigated. It is shown that, in the parameter range close to the edge of chaos as defined for an individual map, the systems exhibit off-diagonal long-range order and single-particle reduced density matrices defined in a natural way possess one strongly dominant eigenvalue. In addition, pattern formation [13] in the above systems has been investigated.
DOI: 10.12693/APhysPolA.120.A-114
PACS numbers: 05.45.Ra, 45.70.Qj, 03.75.Hh, 03.75.Nt