Onset of chaotic phase synchronization in complex networks of coupled heterogeneous oscillators

Francesco Ricci, Roberto Tonelli, Liang Huang, Ying-Cheng Lai

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Existing studies on network synchronization focused on complex networks possessing either identical or nonidentical but simple nodal dynamics. We consider networks of both complex topologies and heterogeneous but chaotic oscillators, and investigate the onset of global phase synchronization. Based on a heuristic analysis and by developing an efficient numerical procedure to detect the onset of phase synchronization, we uncover a general scaling law, revealing that chaotic phase synchronization can be facilitated by making the network more densely connected. Our methodology can find applications in probing the fundamental network dynamics in realistic situations, where both complex topology and complicated, heterogeneous nodal dynamics are expected.

Original languageEnglish (US)
Article number027201
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number2
DOIs
StatePublished - Aug 14 2012

Fingerprint

Chaotic Synchronization
Phase Synchronization
Complex Networks
synchronism
oscillators
Topology
Global Synchronization
Chaotic Oscillator
Network Dynamics
Scaling Laws
Numerical Procedure
topology
Synchronization
Heuristics
Methodology
scaling laws
methodology

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Onset of chaotic phase synchronization in complex networks of coupled heterogeneous oscillators. / Ricci, Francesco; Tonelli, Roberto; Huang, Liang; Lai, Ying-Cheng.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 86, No. 2, 027201, 14.08.2012.

Research output: Contribution to journalArticle

@article{31ab52b10ab3435fbab152387be014a1,
title = "Onset of chaotic phase synchronization in complex networks of coupled heterogeneous oscillators",
abstract = "Existing studies on network synchronization focused on complex networks possessing either identical or nonidentical but simple nodal dynamics. We consider networks of both complex topologies and heterogeneous but chaotic oscillators, and investigate the onset of global phase synchronization. Based on a heuristic analysis and by developing an efficient numerical procedure to detect the onset of phase synchronization, we uncover a general scaling law, revealing that chaotic phase synchronization can be facilitated by making the network more densely connected. Our methodology can find applications in probing the fundamental network dynamics in realistic situations, where both complex topology and complicated, heterogeneous nodal dynamics are expected.",
author = "Francesco Ricci and Roberto Tonelli and Liang Huang and Ying-Cheng Lai",
year = "2012",
month = "8",
day = "14",
doi = "10.1103/PhysRevE.86.027201",
language = "English (US)",
volume = "86",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

TY - JOUR

T1 - Onset of chaotic phase synchronization in complex networks of coupled heterogeneous oscillators

AU - Ricci, Francesco

AU - Tonelli, Roberto

AU - Huang, Liang

AU - Lai, Ying-Cheng

PY - 2012/8/14

Y1 - 2012/8/14

N2 - Existing studies on network synchronization focused on complex networks possessing either identical or nonidentical but simple nodal dynamics. We consider networks of both complex topologies and heterogeneous but chaotic oscillators, and investigate the onset of global phase synchronization. Based on a heuristic analysis and by developing an efficient numerical procedure to detect the onset of phase synchronization, we uncover a general scaling law, revealing that chaotic phase synchronization can be facilitated by making the network more densely connected. Our methodology can find applications in probing the fundamental network dynamics in realistic situations, where both complex topology and complicated, heterogeneous nodal dynamics are expected.

AB - Existing studies on network synchronization focused on complex networks possessing either identical or nonidentical but simple nodal dynamics. We consider networks of both complex topologies and heterogeneous but chaotic oscillators, and investigate the onset of global phase synchronization. Based on a heuristic analysis and by developing an efficient numerical procedure to detect the onset of phase synchronization, we uncover a general scaling law, revealing that chaotic phase synchronization can be facilitated by making the network more densely connected. Our methodology can find applications in probing the fundamental network dynamics in realistic situations, where both complex topology and complicated, heterogeneous nodal dynamics are expected.

UR - http://www.scopus.com/inward/record.url?scp=84865338505&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865338505&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.86.027201

DO - 10.1103/PhysRevE.86.027201

M3 - Article

VL - 86

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 2

M1 - 027201

ER -