Non-normal amplification of stochastic quasicycles

Sara Nicoletti, Niccolò Zagli, Duccio Fanelli, Roberto Livi, Timoteo Carletti, Giacomo Innocenti

Research output: Contribution to journalArticle

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Abstract

Stochastic quasicycles for a two-species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied. By increasing the strength of the internode coupling, one moves the system towards the Hopf bifurcation, and the amplitude of the stochastic oscillations is consequently magnified. When the system is instead constrained to evolve on specific manifolds, selected so as to return a constant rate of deterministic damping for the perturbations, the observed amplification correlates with the degree of non-normal reactivity, here quantified by the numerical abscissa. The thermodynamics of the reactive loop is also investigated and the degree of inherent reactivity shown to facilitate the out-of-equilibrium exploration of the available phase space
Original languageEnglish
Article number032214
Pages (from-to)032214-1-11
Number of pages11
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume98
Issue number3
DOIs
Publication statusPublished - 20 Sep 2018

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Reactivity
Amplification
reactivity
Abscissa
Rate Constant
Hopf Bifurcation
Correlate
Triangular
Phase Space
Damping
Thermodynamics
damping
Oscillation
Perturbation
perturbation
thermodynamics
oscillations
Model

Keywords

  • stochastic dynamics
  • quasi cycle
  • non-normality
  • Wilson-Cowan model

Cite this

Nicoletti, Sara ; Zagli, Niccolò ; Fanelli, Duccio ; Livi, Roberto ; Carletti, Timoteo ; Innocenti, Giacomo. / Non-normal amplification of stochastic quasicycles. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2018 ; Vol. 98, No. 3. pp. 032214-1-11.
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Non-normal amplification of stochastic quasicycles. / Nicoletti, Sara; Zagli, Niccolò; Fanelli, Duccio; Livi, Roberto; Carletti, Timoteo; Innocenti, Giacomo.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 98, No. 3, 032214, 20.09.2018, p. 032214-1-11.

Research output: Contribution to journalArticle

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AU - Innocenti, Giacomo

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AB - Stochastic quasicycles for a two-species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied. By increasing the strength of the internode coupling, one moves the system towards the Hopf bifurcation, and the amplitude of the stochastic oscillations is consequently magnified. When the system is instead constrained to evolve on specific manifolds, selected so as to return a constant rate of deterministic damping for the perturbations, the observed amplification correlates with the degree of non-normal reactivity, here quantified by the numerical abscissa. The thermodynamics of the reactive loop is also investigated and the degree of inherent reactivity shown to facilitate the out-of-equilibrium exploration of the available phase space

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