Phys. Rev. E 62, 6409–6413 (2000)Synchronous chaos in coupled map lattices with small-world interactionsReceived 14 March 2000; revised 27 July 2000; published in the issue dated November 2000 In certain physical situations, extensive interactions arise naturally in systems. We consider one such situation, namely, small-world couplings. We show that, for a fixed fraction of nonlocal couplings, synchronous chaos is always a stable attractor in the thermodynamic limit. We point out that randomness helps synchronization. We also show that there is a size dependent bifurcation in the collective behavior in such systems. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.62.6409
DOI:
10.1103/PhysRevE.62.6409
PACS:
05.45.-a
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