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

Subharmonic autoresonance

Friedland1

  • 1Racah Institute of Physics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
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

Tuberculosis and HIV Infection.

Current infectious disease reports·2000
Same author

Second harmonic autoresonant control of the l=1 diocotron mode in pure-electron plasmas

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Mikheyev-smirnov-wolfenstein effects in vacuum oscillations

Physical review letters·2000
Same author

New Concept for the Reduction of Impurity Scattering in Remotely Doped GaAs Quantum Wells.

Physical review letters·1996
Same author

Magnetotransport phenomena in periodically delta -doped structures.

Physical review. B, Condensed matter·1995
Same author

Quality-of-Life Issues Associated With the Treatment of Prostate Cancer.

Cancer control : journal of the Moffitt Cancer Center·1995

Adiabatic passage through resonances in driven dynamical systems causes persistent phase locking. This phenomenon has a sharp threshold on driving amplitude, dependent on chirp rate and resonance order.

Area of Science:

  • Dynamical Systems
  • Nonlinear Dynamics
  • Resonance Phenomena

Background:

  • Perturbatively driven dynamical systems are fundamental in physics.
  • Resonances can lead to significant system behavior changes.
  • Adiabatic passage is a key concept in controlling quantum and classical systems.

Purpose of the Study:

  • To investigate the effects of adiabatic passage through higher-order resonances.
  • To analyze phase locking and long-time response in driven dynamical systems.
  • To determine the threshold for this phenomenon based on system parameters.

Main Methods:

  • Studying a perturbatively driven dynamical system with a slow control parameter.
  • Analyzing the system's response during adiabatic passage through resonances.

Related Experiment Videos

  • Deriving the scaling law for the driving amplitude threshold.

    • Main Results:

    • Observed persisting phase locking during adiabatic passage.
    • Identified a strong long-time response of the system.
    • Found a sharp threshold on driving amplitude, scaling as A(3/(4n)) with chirp rate A and resonance order n.

    Conclusions:

    • Adiabatic passage through higher-order resonances reliably induces phase locking and sustained responses.
    • The driving amplitude threshold provides a critical parameter for controlling this effect.
    • Findings are relevant for understanding and manipulating complex dynamical systems.