Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators

Kyoung Jin Lee, Yongho Kwak, Tong Kun Lim

Research output: Contribution to journalArticle

115 Citations (Scopus)

Abstract

Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.

Original languageEnglish
Pages (from-to)321-324
Number of pages4
JournalPhysical Review Letters
Volume81
Issue number2
Publication statusPublished - 1998 Dec 1

Fingerprint

synchronism
oscillators
intervals
scaling
coefficients

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators. / Lee, Kyoung Jin; Kwak, Yongho; Lim, Tong Kun.

In: Physical Review Letters, Vol. 81, No. 2, 01.12.1998, p. 321-324.

Research output: Contribution to journalArticle

@article{fed022f04e094bc2982d97143745d5ae,
title = "Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators",
abstract = "Phase synchronization transitions in two different coupled chaotic systems (R{\"o}ssler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.",
author = "Lee, {Kyoung Jin} and Yongho Kwak and Lim, {Tong Kun}",
year = "1998",
month = "12",
day = "1",
language = "English",
volume = "81",
pages = "321--324",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "2",

}

TY - JOUR

T1 - Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators

AU - Lee, Kyoung Jin

AU - Kwak, Yongho

AU - Lim, Tong Kun

PY - 1998/12/1

Y1 - 1998/12/1

N2 - Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.

AB - Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.

UR - http://www.scopus.com/inward/record.url?scp=0000875896&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000875896&partnerID=8YFLogxK

M3 - Article

VL - 81

SP - 321

EP - 324

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 2

ER -