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Estimation of Numerical Dynamics Constants of a Weakly Nonlinear Neuron

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

The aim of the paper is to provide estimates of constants in the Fečkan Theorem and estimates guaranting pseudo orbit tracing property (POTP). These conditions constitute a theoretical foundation of weakly nonlinear neuron implementations.

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References

  1. Bielecki, A.: Dynamical properties of learning process of weakly nonlinear and nonlinear neurons, Nonlinear Analysis-Theory, Methods and Applications, Seria B: Real World Applications, vol. 2 (2001) 249–258

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  4. Fečkan, M.: The relation between a flow and its discretization. Math. Slovaca 42, no. 1 (1992), 123–127

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Author information

Authors and Affiliations

  1. Institute of Computer Science, Jagiellonian University, Poland

    Andrzej Bielecki

  2. Institute of Mathematics, Cracow University of Technology, Poland

    Dariusz Jabłoński

Authors
  1. Andrzej Bielecki
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  2. Dariusz Jabłoński
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2002 Springer-Verlag Berlin Heidelberg

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Bielecki, A., Jabłoński, D. (2002). Estimation of Numerical Dynamics Constants of a Weakly Nonlinear Neuron. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_96

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  • DOI: https://doi.org/10.1007/3-540-48086-2_96

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

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