Physics – Condensed Matter
Scientific paper
1999-05-06
Phys. Rev. E, 60 (1999) 1579.
Physics
Condensed Matter
13 pages, to appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.60.1579
We introduce and study systems of randomly coupled maps (RCM) where the relevant parameter is the degree of connectivity in the system. Global (almost-) synchronized states are found (equivalent to the synchronization observed in globally coupled maps) until a certain critical threshold for the connectivity is reached. We further show that not only the average connectivity, but also the architecture of the couplings is responsible for the cluster structure observed. We analyse the different phases of the system and use various correlation measures in order to detect ordered non-synchronized states. Finally, it is shown that the system displays a dynamical hierarchical clustering which allows the definition of emerging graphs.
Manrubia Susanna C.
Mikhailov Alexander S.
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