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

Detecting anomalous phase synchronization from time series.

Isao T Tokuda1, Syamal Kumar Dana, Jürgen Kurths

  • 1School of Information Science, Japan Advanced Institute of Science and Technology, Ishikawa 923-1292, Japan.

Chaos (Woodbury, N.Y.)
|July 8, 2008
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Light-induced Desynchrony of a Multi-oscillatory Circadian System in <i>Per2</i>-deficient Mice.

Journal of biological rhythms·2026
Same author

Mechanical Effect of Vocal Fold Nodules on Phonation: Physical and Computational Modeling Approach.

Journal of voice : official journal of the Voice Foundation·2026
Same author

Frequency-modulated timer regulates torpor-arousal cycles during hibernation in distinct small mammalian hibernators.

Npj biological timing and sleep·2026
Same author

Data-driven mathematical modelling explains altered timing of EARLY FLOWERING 3 in the wheat circadian oscillator.

Journal of the Royal Society, Interface·2026
Same author

Individual vocal identity is enhanced by the enlarged external nose in male proboscis monkeys (<i>Nasalis larvatus</i>).

Journal of the Royal Society, Interface·2025
Same author

Vocal membranes lower the phonation threshold pressure in rhesus macaques (<i>Macaca mulatta</i>).

Royal Society open science·2025
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

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

State estimation in spatiotemporal chaos via low-rank StatFEM.

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

Universal response functions in driven dissipative tunneling dynamics.

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

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

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

Data-driven soliton manifold approximations for dark and bright waves: Some prototypical 1D case examples.

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

Gap junction architecture and synchronization clusters in the thalamic reticular nuclei.

Chaos (Woodbury, N.Y.)·2026
See all related articles

This study introduces novel modeling methods to detect unusual phase synchronization in coupled nonlinear oscillators. These approaches effectively identify anomalous transitions, even in complex experimental systems with unknown dynamics.

Area of Science:

  • Nonlinear dynamics and complex systems
  • Time series analysis
  • Synchronization phenomena

Background:

  • Phase synchronization is crucial in coupled nonlinear oscillators.
  • Anomalous transitions, marked by increasing frequency differences with coupling, are challenging to predict in unknown experimental systems.
  • Understanding these transitions is vital for fields ranging from physics to biology.

Purpose of the Study:

  • To develop and validate modeling approaches for detecting anomalous routes to phase synchronization.
  • To provide methods for predicting nontrivial transitions in coupled nonlinear oscillators.
  • To demonstrate the applicability of these methods to both theoretical models and real experimental systems.

Main Methods:

  • Phase equational modeling of coupled limit cycle oscillators.

Related Experiment Videos

  • Nonlinear predictive modeling of coupled chaotic oscillators.
  • Application to prototypical predator-prey systems (limit cycle and chaotic regimes).
  • Validation using experimental data from coupled Chua circuits.

    • Main Results:

    • The proposed modeling approaches successfully detect anomalous synchronization transitions.
    • The methods are effective even with limited time series data.
    • Demonstrated capability in both simulated (predator-prey) and real (Chua circuit) systems.
    • The enlargement of mean frequency difference is identified as a key indicator.

    Conclusions:

    • The developed modeling strategies offer a robust framework for identifying anomalous phase synchronization.
    • These methods are applicable to diverse nonlinear oscillator systems, including chaotic ones.
    • The findings have significant implications for analyzing and predicting synchronization behavior in complex experimental setups.