Upper bounds in phase synchronous weak coherent chaotic attractors

Murilo Da Silva Baptista, T. Pereira, Jurgen Kurths

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map. (c) 2006 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)260-268
Number of pages9
JournalPhysica. D, Nonlinear Phenomena
Volume216
Issue number2
DOIs
Publication statusPublished - 15 Apr 2006

Keywords

  • chaotic phase synchronization
  • phase of chaotic attractors
  • synchronization
  • information
  • systems

Cite this

Upper bounds in phase synchronous weak coherent chaotic attractors. / Baptista, Murilo Da Silva; Pereira, T.; Kurths, Jurgen.

In: Physica. D, Nonlinear Phenomena, Vol. 216, No. 2, 15.04.2006, p. 260-268.

Research output: Contribution to journalArticle

@article{581727ba10ea42afbc7340d636107559,
title = "Upper bounds in phase synchronous weak coherent chaotic attractors",
abstract = "An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map. (c) 2006 Elsevier B.V. All rights reserved.",
keywords = "chaotic phase synchronization, phase of chaotic attractors, synchronization, information, systems",
author = "Baptista, {Murilo Da Silva} and T. Pereira and Jurgen Kurths",
year = "2006",
month = "4",
day = "15",
doi = "10.1016/j.physd.2006.02.007",
language = "English",
volume = "216",
pages = "260--268",
journal = "Physica. D, Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Upper bounds in phase synchronous weak coherent chaotic attractors

AU - Baptista, Murilo Da Silva

AU - Pereira, T.

AU - Kurths, Jurgen

PY - 2006/4/15

Y1 - 2006/4/15

N2 - An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map. (c) 2006 Elsevier B.V. All rights reserved.

AB - An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map. (c) 2006 Elsevier B.V. All rights reserved.

KW - chaotic phase synchronization

KW - phase of chaotic attractors

KW - synchronization

KW - information

KW - systems

U2 - 10.1016/j.physd.2006.02.007

DO - 10.1016/j.physd.2006.02.007

M3 - Article

VL - 216

SP - 260

EP - 268

JO - Physica. D, Nonlinear Phenomena

JF - Physica. D, Nonlinear Phenomena

SN - 0167-2789

IS - 2

ER -