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

Integral behavior for localized synchronization in nonidentical extended systems

Bragard1, Boccaletti

  • 1Department of Physics (B5), University of Liege, 4000 Liege, Belgium.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 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

Characterization of intermittent lag synchronization

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

Synchronization of chaotic structurally nonequivalent systems

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

Domain segregation in a two-dimensional system in the presence of drift

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

Optical pattern selection by a lateral wave-front shift.

Physical review. A, Atomic, molecular, and optical physics·1996
Same author

Quantum-classical comparison in chaotic systems.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Domain coexistence in two-dimensional optical patterns.

Physical review letters·1996
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

We synchronized two nonidentical fields using complex Ginzburg-Landau equations. Synchronization behavior remained consistent when coupling strength and controllers were adjusted proportionally, showing integral properties for localized synchronization.

Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Synchronization phenomena

Background:

  • Investigating synchronization in complex systems is crucial for understanding emergent behaviors.
  • Spatially extended fields governed by nonlinear equations, like the complex Ginzburg-Landau equations, exhibit rich dynamics.
  • Controlling and understanding the synchronization of nonidentical systems with imperfect coupling presents significant challenges.

Purpose of the Study:

  • To investigate the synchronization of two nonidentical spatially extended fields.
  • To analyze the effect of imperfect local coupling on synchronization behavior.
  • To identify conditions under which synchronization remains robust despite variations in coupling parameters.

Main Methods:

  • Utilizing one-dimensional complex Ginzburg-Landau equations to model the fields.

Related Experiment Videos

  • Implementing an imperfect coupling mechanism with a specified number of local controllers (N(c)).
  • Varying the coupling strength (ε) and the number of controllers to observe synchronization dynamics.

    • Main Results:

    • Demonstrated successful synchronization of two nonidentical fields prepared in different dynamical regimes.
    • Showcased that synchronization behavior is invariant when the product of coupling strength and controllers per correlation length (εN(c)/N) is held constant.
    • Identified an integral behavior for localized synchronization under specific controller density limits.

    Conclusions:

    • Synchronization in complex Ginzburg-Landau systems can be robust under proportional adjustments of coupling parameters.
    • The number of local controllers relative to the correlation length plays a critical role in achieving stable, localized synchronization.
    • The findings suggest a general principle for controlling synchronization in extended nonlinear systems.