Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

n:m phase synchronization with mutual coupling phase signals.

J. Y. Chen1, K. W. Wong, J. W. Shuai

  • 1Department of Computer Engineering and Information Technology, City University of Hong Kong, Hong Kong, People's Republic of China.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

This study generalizes n:m phase synchronization in coupled chaotic oscillators. Researchers analyzed phase slips and coupling dynamics to understand transitions in chaotic systems.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same journal

Stochastic Poincaré maps for a slow-fast system with white noises: Approximation and visualization.

Chaos (Woodbury, N.Y.)·2026
Same journal

On a stable torus in a 3D system with a saddle-focus.

Chaos (Woodbury, N.Y.)·2026
Same journal

Targeted interventions suppress epidemic outbreaks in spatial higher-order activity-driven networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Erratum: "Hierarchical organization of bursty trains in event sequences" [Chaos 35, 113115 (2025)].

Chaos (Woodbury, N.Y.)·2026
Same journal

Deterministic control of CW/CCW alternation by dual-frequency injection in a heterogeneous oscillator ring.

Chaos (Woodbury, N.Y.)·2026
Same journal

A CTRW-driven subdiffusive fractional Brownian bridge in the reconstruction of missing experimental data.

Chaos (Woodbury, N.Y.)·2026

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Statistical Physics

Background:

  • Phase synchronization is a key phenomenon in coupled chaotic oscillators.
  • Understanding n:m phase synchronization requires analyzing coupling dynamics and phase relationships.
  • Previous studies focused on 1:1 synchronization, leaving higher-order n:m synchronization less explored.

Purpose of the Study:

  • To generalize the concept of n:m phase synchronization between two mutually coupled chaotic oscillators.
  • To characterize the properties of phase synchronization, including mean frequencies, phase differences, and Lyapunov exponents.
  • To investigate the transition dynamics to various n:m phase synchronizations.

Main Methods:

  • Utilizing two mutually coupled chaotic oscillators to study phase synchronization.

Related Experiment Videos

  • Analyzing phase difference, phase slips, and their scaling rules near and away from synchronization transitions.
  • Varying coupling strength to observe transitions between different synchronization states.

    • Main Results:

    • Demonstrated n:m phase synchronization with non-correlated amplitudes.
    • Observed phase difference increasing with 2pi phase slips below the transition.
    • Characterized scaling rules for phase slips and analyzed coupling dynamics during transitions to n:m synchronization.

    Conclusions:

    • The study successfully generalizes n:m phase synchronization in coupled chaotic systems.
    • The findings provide insights into the complex dynamics and transitions governing chaotic oscillator synchronization.
    • This work contributes to a deeper understanding of synchronization phenomena in nonlinear systems.