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

Synchronization by nonlinear frequency pulling.

M C Cross1, A Zumdieck, Ron Lifshitz

  • 1Department of Physics 114-36, California Institute of Technology, Pasadena, California 91125, USA.

Physical Review Letters
|December 17, 2004
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

Mortality trends from colorectal pathologies in the United States (1999-2020): a retrospective cohort study using CDC WONDER.

Techniques in coloproctology·2026
Same author

Superconductivity and strong interactions in a tunable moiré quasicrystal.

Nature·2023
Same author

Expanding the PET radioisotope universe utilizing solid targets on small medical cyclotrons.

RSC advances·2022
Same author

Exotic states in a simple network of nanoelectromechanical oscillators.

Science (New York, N.Y.)·2019
Same author

Multiple-scale structures: from Faraday waves to soft-matter quasicrystals.

IUCrJ·2018
Same author

Discussion of: "Is it necessary to perform full pathologic review of all gastric remnants following sleeve gastrectomy?"

American journal of surgery·2017
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

This study explores nonlinear oscillator synchronization in nanoscale systems. Researchers found that increasing coupling or nonlinearity advances synchronization onset and leads to a fully locked state.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Nanotechnology

Background:

  • Arrays of nanoscale oscillators exhibit complex synchronization phenomena.
  • Understanding synchronization is crucial for applications in sensing and signal processing.
  • Reactive coupling and nonlinear frequency pulling are key mechanisms influencing oscillator behavior.

Purpose of the Study:

  • To analyze a model for the synchronization of nonlinear oscillators.
  • To investigate the effects of reactive coupling and nonlinear frequency pulling.
  • To study the mean-field case with all-to-all coupling in nanoscale oscillator arrays.

Main Methods:

  • Mathematical modeling of coupled nonlinear oscillators.
  • Analysis of the mean-field limit for all-to-all coupling.

Related Experiment Videos

  • Derivation of conditions for the onset of synchronization.
  • Characterization of the fully locked state.

    • Main Results:

    • Synchronization onset is dependent on coupling strength and nonlinearity.
    • A fully locked state is achieved where all oscillators synchronize.
    • The model provides insights into the physics of nanoscale oscillator arrays.

    Conclusions:

    • The study elucidates the dynamics of nonlinear oscillator synchronization.
    • Findings are relevant for designing and controlling coupled nanoscale systems.
    • The derived conditions for synchronization offer predictive power for oscillator arrays.