Analysis of Large-Amplitude Pulses in Short Time Intervals: Application to Neuron Interactions | Zendy

Gianni Mattioli | Zendy; Massimo Scalia | Zendy; Carlo Cattani | Zendy

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Analysis of Large-Amplitude Pulses in Short Time Intervals: Application to Neuron Interactions

Author(s) -

Gianni Mattioli,

Massimo Scalia,

Carlo Cattani

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/895785

Subject(s) - generalization , amplitude , parametric statistics , mathematics , nonlinear system , inertia , time domain , pulse (music) , stability (learning theory) , wavelet , biological neuron model , sensitivity (control systems) , spike (software development) , mathematical analysis , control theory (sociology) , physics , statistical physics , classical mechanics , computer science , artificial neural network , statistics , engineering , quantum mechanics , artificial intelligence , software engineering , control (management) , machine learning , electronic engineering , computer vision , voltage

This paper deals with the analysis of a nonlinear dynamical system which characterizes the axons interaction and is based on a generalization of FitzHugh-Nagumo system. The parametric domain of stability is investigated for both the linear and third-order approximation. A further generalization is studied in presence of high-amplitude (time-dependent) pulse. The corresponding numerical solution for some given values of parameters are analyzed through the wavelet coefficients, showing both the sensitivity to local jumps and some unexpected inertia of neuron's as response to the high-amplitude spike

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