Synchronizing spatiotemporal chaos
- 1 December 1997
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 7 (4) , 635-643
- https://doi.org/10.1063/1.166263
Abstract
We show analytically and numerically that a pair of uni-directionally coupled spatially extended systems can synchronize. For the case of partial differential equations the synchronization can be achieved by applying the scalar driving signals only at finite number of space points. Our approach is very general and can be useful for practical applications since the synchronization is achieved via feeding in the response system only the information from certain (discrete) spatial locations of the drive system. We also stress some open problems in the field of synchronization of spatiotemporal chaos.Keywords
This publication has 38 references indexed in Scilit:
- Synchronizing Spatiotemporal Chaos of Partial Differential EquationsPhysical Review Letters, 1997
- Equivalence of Synchronization and Control of Chaotic SystemsPhysical Review Letters, 1996
- Synchronizing Spatiotemporal Chaos in Coupled Nonlinear OscillatorsPhysical Review Letters, 1996
- Communication by chaotic signals: the inverse system approachInternational Journal of Circuit Theory and Applications, 1996
- Intermittent Loss of Synchronization in Coupled Chaotic Oscillators: Toward a New Criterion for High-Quality SynchronizationPhysical Review Letters, 1996
- Optimal Periodic Orbits of Chaotic SystemsPhysical Review Letters, 1996
- Study of reentry initiation in coupled parallel fibers [cardiology]IEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- Localized bifurcations and defect instabilities in the convection of a nematic liquid crystalJournal of Statistical Physics, 1991
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Stochastic synchronization of oscillation in dissipative systemsRadiophysics and Quantum Electronics, 1986