Noise-induced resonances in the Hindmarsh-Rose neuronal model

The behavior of neurons under stimulation is often described by means of dynamical systems having bifurcations from fixed points to limit cycles. In these models, the presence of noise can induce irregular crossings of the bifurcation threshold leading to intrinsic oscillations of the system variabl...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 65; no. 4 Pt 1; p. 041915
Main Authors Baltanás, J P, Casado, J M
Format Journal Article
LanguageEnglish
Published United States 01.04.2002
Subjects
Action Potentials - physiology
Models, Neurological
Models, Statistical
Neurons - physiology
Noise - adverse effects
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Summary:The behavior of neurons under stimulation is often described by means of dynamical systems having bifurcations from fixed points to limit cycles. In these models, the presence of noise can induce irregular crossings of the bifurcation threshold leading to intrinsic oscillations of the system variables that describe the detection of the otherwise subthreshold signals by the neuron. In this paper, the response of the Hindmarsh-Rose neuronal model to noisy signals is investigated and a variety of noise-induced resonances are described.
ISSN:1539-3755
DOI:10.1103/PhysRevE.65.041915