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

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

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.

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

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.