skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: General framework for phase synchronization through localized sets

Abstract

We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.

Authors:
; ;
Publication Date:
OSTI Identifier:
21072382
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.75.026216; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIOPHYSICS; CHAOS THEORY; COUPLING; INFORMATION; NERVE CELLS; NEURAL NETWORKS; NONLINEAR PROBLEMS; OSCILLATORS; SYNCHRONIZATION

Citation Formats

Pereira, T., Baptista, M. S., and Kurths, J. General framework for phase synchronization through localized sets. United States: N. p., 2007. Web. doi:10.1103/PHYSREVE.75.026216.
Copy to clipboard
Pereira, T., Baptista, M. S., & Kurths, J. General framework for phase synchronization through localized sets. United States. doi:10.1103/PHYSREVE.75.026216.
Copy to clipboard
Pereira, T., Baptista, M. S., and Kurths, J. Thu . "General framework for phase synchronization through localized sets". United States. doi:10.1103/PHYSREVE.75.026216.
Copy to clipboard
@article{osti_21072382,
title = {General framework for phase synchronization through localized sets},
author = {Pereira, T. and Baptista, M. S. and Kurths, J},
abstractNote = {We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.},
doi = {10.1103/PHYSREVE.75.026216},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
Copy to clipboard
Journal Article:
DOI:  10.1103/PHYSREVE.75.026216
Other availability
Find in Google Scholar Find in Google Scholar
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

  • ; ; - Transactions of the American Nuclear Society (U.S.)

  • ; ; ; ... - Physica A: Statistical Mechanics and its Applications
    This study examines the dynamics of two-phase drainage with experiments of air invasion into a translucent water-saturated porous medium, at low injection speeds. Air displaces the water by irregular bursts of motion, suddenly invading small portions of the medium. These periods of activity, followed by dormancy, are similar to descriptions of systems at a self-organized critical point, where a slight disturbance may induce an avalanche of activity. The fractal characteristics of the invading air structure at breakthrough are examined through static (box-counting) calculations of the air mass and through an evaluation of the time-dependent motion of the invading mass; resultsmore » are compared with prior low-velocity two-phase studies in porous media. Dynamic, power-law scaling for invasion percolation is shown to be well suited to describing the structure of the invading fluid. To examine the applicability of self-organized criticality predictions to the invading fluid movement, a new image analysis procedure was developed to identify the location of individual bursting events during the drainage experiments. The predictions of self-organized criticality, namely the scaling of the occurrence of bursts to the mass of the bursts and a spatio-temporal randomness of different sized bursts, are also examined. Bursts of a wide range of sizes are shown to occur throughout the porous medium, over both time and space. The mass distribution of burst sizes is shown to be well described by self-organized criticality predictions, with an experimentally determined scaling exponent of 1.53.« less

  • ; ; ; ... - Strahlentherapie, v. 146, no. 2, pp. 216-225
    The synchronization effect of x rays and Daunomycin on an exponentially growing culture of L-929-cells was quantitatively tested with the impulse cytophotometer (ICP). By fractionated irradiation with 200-kV x rays (total dose 225 rad, 9 fractions of 25 rad each in intervals of 3 hrs), about 70% of the cells can reversibly be kept in the G/sub 2/-phase of the interphase. The portion of G/sub 2/-cells in the unirradiated culture amounts to l2.9%. Daunomycin likewise produces reversible G/sub 2/-blockage on the L-cell culture. After application of Daunomycin in the concentration of 0.05 mu g/ml, which proved to be optimal, aftermore » a 42 hr lasting period in influence, more than 80% of the cells were in the G/sub 2/-phase. An additivity of the synchronization effect of irradiation and Daunomycin was not observed. The results indicate that Daunomycin in the applied concentration also produces a G/sub 1//S-blockage that possibly is the cause for the lack of additivity of Daunomycin and x ray irradiation in the synchronization effect. The authors point to a potential application of the described synchrorization method in radiotherapy. (auth)« less

  • ; ; - Physical Review E
    A definition of synchronization of coupled dynamical systems is provided. We discuss how such a definition allows one to identify a unifying framework for synchronization of dynamical systems, and show how to encompass some of the different phenomena described so far in the context of synchronization of chaotic systems.

  • ; ; ; ... - IEEE Transactions on Power Systems
    Here, this paper develops a robust power system state estimation framework with the consideration of measurement correlations and imperfect synchronization. In the framework, correlations of SCADA and Phasor Measurements (PMUs) are calculated separately through unscented transformation and a Vector Auto-Regression (VAR) model. In particular, PMU measurements during the waiting period of two SCADA measurement scans are buffered to develop the VAR model with robustly estimated parameters using projection statistics approach. The latter takes into account the temporal and spatial correlations of PMU measurements and provides redundant measurements to suppress bad data and mitigate imperfect synchronization. In case where the SCADAmore » and PMU measurements are not time synchronized, either the forecasted PMU measurements or the prior SCADA measurements from the last estimation run are leveraged to restore system observability. Then, a robust generalized maximum-likelihood (GM)-estimator is extended to integrate measurement error correlations and to handle the outliers in the SCADA and PMU measurements. Simulation results that stem from a comprehensive comparison with other alternatives under various conditions demonstrate the benefits of the proposed framework.« less