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Related Experiment Videos

Topologically inequivalent orbits induced by noise.

Jorge M Mendez1, J Aliaga, G B Mindlin

  • 1Departamento de Física, FCEN, UBA, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina.

Physical Review Letters
|October 26, 2002
PubMed
Summary

Noise in forced excitable systems can create unique recurrences with robust topological organization. These structures are most pronounced at an optimal noise intensity, extending the concept of stochastic resonance.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Stochastic resonance (SR) is a phenomenon where noise enhances the detection of weak signals in nonlinear systems.
  • Excitable systems, characterized by a threshold for activation, are found in various fields, including neuroscience and physics.
  • Deterministic systems often exhibit periodic orbits, representing predictable behavior.

Purpose of the Study:

  • To extend the concept of stochastic resonance to forced excitable systems.
  • To investigate the role of noise in generating novel dynamic behaviors in these systems.
  • To characterize the topological organization of noise-induced recurrences.

Main Methods:

  • Analysis of forced excitable systems subjected to noise.

Related Experiment Videos

  • Characterization of system dynamics and topological properties.
  • Comparison of noise-induced recurrences with deterministic periodic orbits.

    • Main Results:

    • Noise can induce the appearance of recurrences in forced excitable systems.
    • These recurrences exhibit a robust topological organization.
    • The observed structures are distinct from the periodic orbits of the deterministic system.
    • The phenomenon is most pronounced at an optimal noise intensity, akin to stochastic resonance.

    Conclusions:

    • Noise plays a crucial role in shaping the dynamics of forced excitable systems beyond traditional stochastic resonance.
    • The discovery of noise-induced topological structures offers new insights into complex system behavior.
    • An optimal noise level is key for observing these pronounced, organized recurrences.