Anticipating chaotic synchronization
Top Cited Papers
- 1 May 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 61 (5) , 5115-5119
- https://doi.org/10.1103/physreve.61.5115
Abstract
Dissipative chaotic systems with a time-delayed feedback can drive near-identical systems in such a way that the driven systems anticipate the drivers by synchronizing with their (arbitrarily distant) future states. This counterintuitive behavior is globally stable, robust, and a pure result of the interplay between delayed feedback and dissipation. Thus it constitutes a rather universal phenomenon of nonlinear dynamics. For small anticipation times, anticipating synchronization also occurs in chaotic systems without a memory term in the driver.Keywords
This publication has 26 references indexed in Scilit:
- Synchronization of coupled time-delay systems: Analytical estimationsPhysical Review E, 1998
- Delayed Feedback Control of Periodic Orbits in Autonomous SystemsPhysical Review Letters, 1998
- From Phase to Lag Synchronization in Coupled Chaotic OscillatorsPhysical Review Letters, 1997
- Mechanism of Time-Delayed Feedback ControlPhysical Review Letters, 1997
- Noise-induced transitions in human postural swayPhysical Review E, 1996
- Delay-induced transitions in visually guided movementsPhysical Review E, 1996
- Delay-induced instabilities in nonlinear feedback systemsPhysical Review E, 1994
- Synchronization of Lorenz-based chaotic circuits with applications to communicationsIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1993
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Stochastic synchronization of oscillation in dissipative systemsRadiophysics and Quantum Electronics, 1986