Self-organization of coupled nonlinear oscillators through impurities
Nonlinear Optics Group, Air Force Research Laboratory, 3550 Aberdeen Ave., SE Kirtland AFB, NM 87117-5776 USA
2 Department of Physics of Complex Systems, The Weizmann Institute of Sciences, Rehovot 76100, Israel
3 Physics Department, University of Crete and Foundation for Research and Technology-Hellas - P.O. Box 2208, 71003 Heraklion, Crete, Greece
Accepted: 9 October 1998
The effects of impurities introduced into a lattice of strongly coupled oscillators are studied. Contrary to our expectations, a single impurity can control the chaotic behavior of a long array of chaotic oscillators and bring about complete synchronization. This effect appears to be independent of the length of the chain, obtaining self-organization for chains as long as 512 lattice sites. By appropriately introducing more that one impurity, if needed, longer chains of oscillators can be tamed.
PACS: 05.30.-d – Quantum statistical mechanics / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, 1998