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

Irrational mode locking in quasiperiodic systems.

Creighton K Thomas1, A Alan Middleton

  • 1Department of Physics, Syracuse University, Syracuse, New York 13244, USA.

Physical Review Letters
|May 16, 2007
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

Coulomb energy of uniformly charged spheroidal shell systems.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Electrostatics-driven shape transitions in soft shells.

Proceedings of the National Academy of Sciences of the United States of America·2014
Same author

Novel disordering mechanism in ferromagnetic systems with competing interactions.

Physical review letters·2013
Same author

Minimal spanning trees at the percolation threshold: a numerical calculation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

Numerically exact correlations and sampling in the two-dimensional Ising spin glass.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

Boolean decision problems with competing interactions on scale-free networks: critical thermodynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
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 introduces a model for AC-driven systems exhibiting irrational mode locking. This phenomenon, observed with quasiperiodic pinning, is stable against noise and disorder, suggesting potential experimental applications.

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Complex systems

Background:

  • AC-driven systems are crucial in various physical phenomena.
  • Mode locking in driven systems typically involves rational frequency ratios.
  • Quasiperiodic pinning introduces complex behavior in elastic media.

Purpose of the Study:

  • To investigate mode locking in AC-driven systems with quasiperiodic pinning.
  • To analyze the stability and convergence of irrational mode-locked steps.
  • To explore potential experimental realizations of this phenomenon.

Main Methods:

  • Utilized a model based on the Tang-Wiesenfeld-Bak-Coppersmith-Littlewood automaton.
  • Employed detailed numerical simulations to study system behavior.

Related Experiment Videos

  • Investigated the effects of thermal noise and weak disorder.

    • Main Results:

    • Observed mode-locked steps with frequencies as irrational multiples of the drive frequency.
    • Provided numerical evidence for the large-system-size convergence of irrational mode locking.
    • Demonstrated the stability of irrational mode locking to small thermal noise and weak disorder.

    Conclusions:

    • Quasiperiodic pinning in AC-driven elastic media can lead to stable irrational mode locking.
    • The findings suggest new possibilities for controlling and understanding complex driven systems.
    • Continuous-time models and experimental setups are proposed for further investigation.