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

Multiphase patterns in periodically forced oscillatory systems.

C Elphick1, A Hagberg, E Meron

  • 1Centro de Fisica No Lineal y Sistemas Complejos de Santiago, Casilla 17122, Santiago, Chile.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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

Can spatial self-organization inhibit evolutionary adaptation?

Journal of the Royal Society, Interface·2025
Same author

Induced mutations and barley improvement.

TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik·2014
Same author

Patterned vegetation and rainfall intermittency.

Journal of theoretical biology·2008
Same author

Dynamics and spatial organization of plant communities in water-limited systems.

Theoretical population biology·2007
Same author

A mathematical model of plants as ecosystem engineers.

Journal of theoretical biology·2006
Same author

Ecosystem engineers: from pattern formation to habitat creation.

Physical review letters·2004
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 discovered a novel instability in oscillatory systems under periodic forcing. Stationary patterns can decompose into traveling waves, transitioning from two-phase to multi-phase dynamics in 4:1 resonance.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Periodic forcing of oscillatory systems leads to frequency locking.
  • Extended oscillatory systems exhibit complex behaviors, including multiple stable states.

Purpose of the Study:

  • Investigate front solutions and their stability in extended oscillatory systems near a Hopf bifurcation.
  • Analyze the 4:1 resonance where system frequency is 1/4 of forcing frequency.
  • Explore transitions between stationary and traveling phase patterns.

Main Methods:

  • Amplitude equation approach near a Hopf bifurcation.
  • Analysis of front solutions (π fronts and π/2 fronts).
  • Investigated front instability and degeneracy using cubic and quintic nonlinearities.

Related Experiment Videos

  • Numerical simulations of spiral wave collapse.

    • Main Results:

    • Identified a front instability where stationary π fronts decompose into traveling π/2 fronts.
    • Found degeneracy in cubic nonlinearities, leading to a family of pair solutions.
    • Quintic nonlinearities lift degeneracy but preserve instability nature.
    • Demonstrated collapse of a four-phase spiral wave to a stationary two-phase pattern numerically.

    Conclusions:

    • Stationary π fronts can become unstable and decompose into traveling π/2 fronts.
    • This instability signifies a transition from stationary two-phase to traveling multi-phase patterns.
    • Similar instabilities are conjectured for higher 2n:1 resonances, indicating universal transition dynamics.