Experimental investigation of high-quality synchronization of coupled oscillators.

@article{Blakely2000ExperimentalIO,
  title={Experimental investigation of high-quality synchronization of coupled oscillators.},
  author={Jonathan N. Blakely and Daniel J. Gauthier and Gregg Johnson and Thomas L. Carroll and Louis M. Pecora},
  journal={Chaos},
  year={2000},
  volume={10 3},
  pages={
          738-744
        }
}
We describe two experiments in which we investigate the synchronization of coupled periodic oscillators. Each experimental system consists of two identical coupled electronic periodic oscillators that display bursts of desynchronization events similar to those observed previously in coupled chaotic systems. We measure the degree of synchronization as a function of coupling strength. In the first experiment, high-quality synchronization is achieved for all coupling strengths above a critical… 
View on PubMed
webhome.phy.duke.edu
12 Citations
Background Citations
2
Results Citations
1

Figures from this paper

12 Citations

Citation Type

Citation Type

Experimental observation on the effect of coupling on different synchronization phenomena in coupled nonidentical Chua’s oscillators
Experimental results are presented on the effect of coupling on synchronization of two coupled nonidentical Chua’s oscillators. Two oscillators are coupled in unidirectional drive response mode. The…
n:m phase synchronization with mutual coupling phase signals.
TLDR
The n:m phase synchronization between two chaotic oscillators by mutual coupling phase signals is generalized to show the properties of mean frequencies, mean phase difference, and Lyapunov exponents at various values of coupling strength.
Theoretical Background: Non-Autonomous Systems and Synchronization
The theoretical framework for the analysis of synchronization between non-autonomous oscillating systems is discussed. Multiple-scale analysis is applied to a phase oscillator model with slowly…
Lag and anticipating synchronization without time-delay coupling.
We describe a new method for achieving approximate lag and anticipating synchronization in unidirectionally coupled chaotic oscillators. The method uses a specific parameter mismatch between the…
Attractor Bubbling in Coupled hyperchaotic oscillators
TLDR
Investigating experimentally attractor bubbling in a system of two coupled hyperchaotic electronic circuits and comparing the observed behavior to several proposed criteria for estimating the regime of high-quality synchronization found that none of these methods is completely satisfactory for predicting accurately the regimes of attractor Bubbling and high- quality synchronization.
EXPERIMENTAL CONTROL OF A FAST CHAOTIC TIME-DELAY OPTO-ELECTRONIC DEVICE
Abstract : The focus of this thesis is the experimental investigation of the dynamics and control of a new type of fast chaotic opto-electronic device: an active interferometer with electronic…
Synchronization dynamics of chemically coupled cells with activator–inhibitor pathways
Chaos Synchronization in the Belousov‐Zhabotinsky Chemical Reaction by Adaptive Control Scheme
The adaptive synchronization scheme proposed by John and Amritkar was employed into the Belousov-Zhabotinsky (BZ) 4-variable-Montanator model system. By the parameter adjustment, chaos…
Ultra-slow frequency bands reflecting potential coherence between neocortical brain regions
Forced versus coupled dynamics in Earth system modelling and prediction
TLDR
It is shown that for a considerable fraction of parameter- and state-space, the two approaches qualitatively differ, which suggests that bistability and intermittent predictability, when found in a forced model set-up, should always be cross-validated with alternative coupling designs before being taken for granted.
...
1
2
...

References

SHOWING 1-10 OF 20 REFERENCES
Intermittent Loss of Synchronization in Coupled Chaotic Oscillators: Toward a New Criterion for High-Quality Synchronization.
TLDR
A simple method for rapidly selecting the coupling schemes that are most likely to produce high-quality synchronization is suggested, demonstrating that the standard synchronization criterion is not always useful in experiments.
Robustness of Synchronized Chaotic Oscillations
In this paper we address the issue of robustness of synchronized chaotic oscillations in coupled systems. One frequently observes in physical experiments that synchronized chaotic oscillations are…
Synchronization and Imposed Bifurcations in the Presence of Large Parameter Mismatch
Using experimental and numerical systems, we show that it is possible to maintain excellent synchronization between a drive and a response system even when there is a large (50%) parameter mismatch…
Designing a Coupling That Guarantees Synchronization between Identical Chaotic Systems
We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The…
Predictable chaos in slightly perturbed unpredictable chaotic systems
On the local stability of limit cycles.
TLDR
It is shown that the nonuniformity of local stability in phase space affects the response of limit cycle oscillators to perturbations and gives rise to their phase-dependent response.
Chaos transition despite linear stability.
  • Gebhardt, Grossmann
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
We present a linearly stable model in two complex dimensions that can be triggered by an initial perturbation or external noise to exhibit chaotic dynamics although all linear perturbations are…
Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
Fluctuation-effect of local Lyapunov exponents on the distance between two nearby trajectories is studied from a statistical-mechanical point of view. It is shown that fluctuations of the logarithmic…
Synchronizing hyperchaos with a scalar transmitted signal.
  • Peng, Ding, Yang
  • Computer Science, Physics
    Physical review letters
  • 1996
TLDR
By transmitting just one scalar signal one can achieve synchronism in chaotic systems with two or more positive Lyapunov exponents, in regard to applications to communication.
Homoclinic tangencies and non-normal Jacobians—effects of noise in nonhyperbolic chaotic systems
...
1
2
...