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Related Experiment Videos

Mechanisms of stochastic phase locking.

Andre Longtin1

  • 1Departement de Physique, Universite d'Ottawa, 150 Louis Pasteur, Ottawa, Ontario, K1N 6N5, Canada.

Chaos (Woodbury, N.Y.)
|March 1, 1995
PubMed
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Noise can induce stochastic phase locking in biological oscillators, even without external forcing. This phenomenon, observed near bifurcations, creates patterns not seen in deterministic models.

Area of Science:

  • Nonlinear dynamics
  • Computational neuroscience
  • Systems biology

Background:

  • Periodically driven nonlinear oscillators can exhibit phase locking, where events occur near preferred stimulus phases but skip cycles.
  • This aperiodic phase locking can occur even without external periodic forcing, using an internal system timescale.
  • Previous studies focused on noise perturbing deterministic phase-locked motion.

Purpose of the Study:

  • Investigate stochastic phase locking induced by noise in biological oscillator models.
  • Explore mechanisms where noise creates phase-locked motion absent in deterministic counterparts.
  • Examine this phenomenon near common bifurcations in biological oscillators.

Main Methods:

  • Studied stochastic phase locking near supercritical and subcritical Hopf bifurcations.

Related Experiment Videos

  • Analyzed phase locking near saddle-node bifurcations and chaotic behavior under autonomous conditions.
  • Coupled noise to the equations of motion for nonlinear oscillator models.

    • Main Results:

    • Demonstrated that noise can induce stochastic phase-locked motion.
    • Showed this noise-induced motion lacks a direct deterministic counterpart.
    • Observed stochastic phase locking near various bifurcations (Hopf, saddle-node) and chaotic regimes.

    Conclusions:

    • Noise is a crucial factor in generating stochastic phase locking in biological systems.
    • The findings extend beyond neuronal models to other oscillators like cardiac and respiratory systems.
    • Highlights the role of noise in creating novel dynamic behaviors in oscillators.