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Wavelet Analysis of Spike Train in the Fitzhugh Model

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Book cover Transactions on Computational Science VI

Part of the book series: Lecture Notes in Computer Science ((TCOMPUTATSCIE,volume 5730))

Abstract

This paper deals with the analysis of the wavelet coefficients for the nonlinear dynamical system which models the axons activity. A system with source made by a sequence of high pulses (spike train) is analyzed in dependence of the amplitude. The critical value of the amplitude, and a catastrophe are analyzed. The wavelet coefficients are computed and it is shown also that they are very sensitive to the local changes and can easily detect the spikes even on a nearly smooth function.

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Author information

Authors and Affiliations

  1. diFarma, University of Salerno, Via Ponte Don Melillo, I-84084, Fisciano, (SA)

    Carlo Cattani

  2. Dept. of Mathematics, “G. Castelnuovo”, University of Rome, “La Sapienza”, P.le A. Moro 2, I-00185, Roma

    Massimo Scalia

Authors
  1. Carlo Cattani
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  2. Massimo Scalia
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Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W, T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  2. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

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Cattani, C., Scalia, M. (2009). Wavelet Analysis of Spike Train in the Fitzhugh Model. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science VI. Lecture Notes in Computer Science, vol 5730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10649-1_10

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  • DOI: https://doi.org/10.1007/978-3-642-10649-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10648-4

  • Online ISBN: 978-3-642-10649-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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