Jove
Visualize
Contact Us

Related Experiment Videos

Stochastic resonance between dissipative structures in a bistable noise-sustained dynamics.

B von Haeften1, G Izús, S Mangioni

  • 1Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2004
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

Measuring self-steepening with the photon-conserving nonlinear Schrödinger equation.

Optics letters·2020
Same author

Modulation instability in waveguides doped with anisotropic nanoparticles.

Optics letters·2020
Same author

Modulation instability in waveguides with an arbitrary frequency-dependent nonlinear coefficient.

Optics letters·2020
Same author

Simple method for estimating the fractional Raman contribution.

Optics letters·2019
Same author

Genomic V exons from whole genome shotgun data in reptiles.

Immunogenetics·2014
Same author

Discretization-related issues in the Kardar-Parisi-Zhang equation: consistency, Galilean-invariance violation, and fluctuation-dissipation relation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
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

Adding multiplicative noise to a monostable system creates bistable dynamics. Researchers explored stochastic resonance between attractors, finding optimal signal-to-noise ratio in symmetric systems.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Stochastic processes

Background:

  • Many systems exhibit monostable dynamics without noise.
  • Introducing multiplicative noise can induce complex behaviors like bistability.
  • Stochastic resonance is a phenomenon where noise enhances signal transmission.

Purpose of the Study:

  • To investigate the emergence of bistable dynamics in a monostable system under multiplicative noise.
  • To theoretically analyze stochastic resonance between the attractors of the noise-induced bistable system.
  • To determine the conditions for optimal signal-to-noise ratio.

Main Methods:

  • Theoretical analysis using a two-state approximation.
  • Utilizing the exact nonequilibrium potential of the system.

Related Experiment Videos

  • Calculating the output signal-to-noise ratio.

    • Main Results:

    • An extended system transitions from monostable to bistable dynamics with multiplicative noise.
    • Stochastic resonance effects between the system's attractors were quantified.
    • The signal-to-noise ratio is maximized in the symmetric case.

    Conclusions:

    • Multiplicative noise can effectively induce bistable dynamics and enable stochastic resonance.
    • The symmetric configuration of attractors is crucial for achieving maximum signal-to-noise ratio.
    • The theoretical framework provides a method to predict and optimize stochastic resonance in such systems.