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

Comment on "Intermittency in chaotic rotations".

A Pikovsky, M Rosenblum

    Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
    |December 12, 2001
    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

    Travelling chimeras in oscillator lattices with advective-diffusive coupling.

    Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2023
    Same author

    De novo adamantinomatous craniopharyngioma with long-term pre-diagnostic imaging.

    Neuro-Chirurgie·2023
    Same author

    Disorder fosters chimera in an array of motile particles.

    Physical review. E·2021
    Same author

    Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia.

    Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2019
    Same author

    Reconstruction of a neural network from a time series of firing rates.

    Physical review. E·2016
    Same author

    Marginal chimera state at cross-frequency locking of pulse-coupled neural networks.

    Physical review. E·2016
    Same journal

    Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    Same journal

    Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    Same journal

    Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    Same journal

    Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    Same journal

    Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    Same journal

    Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

    Physical review. E, Statistical, nonlinear, and soft matter physics·2016
    See all related articles

    This study challenges claims of intermittency in chaotic systems. We demonstrate that the instantaneous frequency dynamics exhibit normal diffusion, suggesting non-intermittent behavior is typical for chaotic trajectories.

    Area of Science:

    • Dynamical Systems and Chaos Theory
    • Nonlinear Dynamics
    • Statistical Mechanics

    Background:

    • The concept of intermittency in chaotic systems, specifically the instantaneous frequency of phase point trajectories, was investigated by Lai et al.
    • Lai et al. claimed intermittent behavior in the Rössler and Lorenz systems based on their analysis of instantaneous frequency.

    Discussion:

    • This work re-examines the Rössler and Lorenz systems using the same methodology as Lai et al.
    • We present evidence contradicting the claim of intermittency in the instantaneous frequency dynamics.
    • Our analysis reveals that the phase dynamics exhibit normal diffusion, a hallmark of non-intermittent processes.

    Key Insights:

    • The instantaneous frequency of chaotic trajectories does not exhibit intermittency as previously claimed.

    Related Experiment Videos

  • Normal diffusion in phase dynamics is a more accurate description of the behavior observed in the Rössler and Lorenz systems.
  • The non-intermittent behavior observed is argued to be a generic characteristic of chaotic systems.

    • Outlook:

    • Further research should explore the conditions under which chaotic systems exhibit normal diffusion in their phase dynamics.
    • Investigating other chaotic systems beyond the Rössler and Lorenz models is crucial to confirm the generic nature of non-intermittent behavior.
    • This finding may necessitate a re-evaluation of theoretical models relying on the assumption of intermittency in chaotic phase space dynamics.