Spiking Behavior in a Noise-Driven System Combining Oscillatory and Excitatory Properties | Zendy

Valeri A. Makarov | Zendy; Vladimir I. Nekorkin | Zendy; Manuel G. Velárde | Zendy

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Spiking Behavior in a Noise-Driven System Combining Oscillatory and Excitatory Properties

Author(s) -

Valeri A. Makarov,

Vladimir I. Nekorkin,

Manuel G. Velárde

Publication year - 2001

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.86.3431

Subject(s) - hopf bifurcation , amplitude , statistical physics , noise (video) , physics , biological neuron model , excitatory postsynaptic potential , bifurcation , phase locking , signal (programming language) , control theory (sociology) , phase (matter) , biological system , computer science , nonlinear system , neuroscience , quantum mechanics , artificial neural network , artificial intelligence , inhibitory postsynaptic potential , image (mathematics) , control (management) , biology , programming language

We show that firing activity (spiking) can be regularized by noise in a FitzHugh-Nagumo (FHN) neuron model when operating slightly beyond the supercritical Hopf bifurcation (in the "canard" region). We also provide the conditions for imperfect phase locking between interspike intervals and low amplitude quasiharmonic oscillations. For the imperfect phase locking no need exists of an external signal as it follows from the FHN intrinsic dynamics.

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