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Related Experiment Videos

Resonances via deterministic and stochastic perturbations: a comparative study.

Gerardo J Escalera Santos1, P Parmananda

  • 1Facultad de Ciencias, UAEM, Avenida Universidad 1001, Colonia Chamilpa, Cuernavaca, Morelos, Mexico.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 22, 2002
PubMed
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Deterministic signals can induce periodic and coherence resonances in chemical models. This study quantifies how signal correlations affect these resonances, comparing them to stochastic perturbations.

Area of Science:

  • Chemical dynamics
  • Nonlinear systems
  • Resonance phenomena

Background:

  • Excitable chemical models exhibit complex dynamics.
  • Resonances are typically studied under periodic or stochastic forcing.
  • The role of deterministic, aperiodic perturbations is less understood.

Purpose of the Study:

  • To investigate periodic and coherence resonances induced by aperiodic deterministic perturbations.
  • To analyze the influence of intrinsic correlations within chaotic signals on resonance phenomena.
  • To compare resonances evoked by deterministic signals with those from stochastic perturbations.

Main Methods:

  • Parametrically superimposing chaotic perturbations with controlled correlations onto an excitable chemical model.
  • Quantifying system response using standard measures like normalized variance and normalized number of peaks.

Related Experiment Videos

  • Analyzing the relationship between perturbation signal correlation and induced resonance characteristics.

    • Main Results:

    • Deterministic, aperiodic perturbations can indeed invoke periodic and coherence resonances.
    • The level of intrinsic correlation in the perturbing signal significantly impacts the nature and strength of the induced resonances.
    • Distinct resonance behaviors were observed for different deterministic signal correlations, differing from stochastic forcing.

    Conclusions:

    • Aperiodic deterministic signals offer a novel pathway to induce and control resonance phenomena in chemical systems.
    • Signal correlation is a critical parameter in understanding deterministic resonance.
    • This work expands the framework for studying resonance beyond traditional periodic and stochastic forcing.