Skip to main content
Springer Nature Link
Log in

Cellular Neural Network Model for Nonlinear Waves in Medium with Exponential Memory

  • Conference paper
  • First Online:
Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

Included in the following conference series:

Abstract

This paper deals with one dimensional waves in medium with memory. Following [1] we shall denote by x a co-ordinate of a point belonging to a solid body,b y tthe time variable, by ε the deformation, by σ the tension and b

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Alinhac, S.: Blow up for nonlinear hyperbolic equations, Birkhauser, Progress in Nonlinear Diff. Eq. and their Appl., 17(1995)

    Google Scholar 

  2. Chua L. O., Yang L.: Cellular neural networks: Theory, IEEE Trans. Circuit Syst., 35 Oct. (1988) 1257–1271

    Google Scholar 

  3. Chua L. O., Yang L.: Cellular neural networks: Applications, IEEE Trans. Circuit Syst., 35 Oct. (1988) 1272–1290

    Google Scholar 

  4. Lokshin, A., Sagomonian, S.: Nonlinear waves in the mechanics of solid bodies, Edition of the Moscow State University, Moscow, 1989(in Russian)

    Google Scholar 

  5. Ta-tsien, Li: Global classical solutions for quasilinear hyperbolic systems, Research in Appl. Math., John Wiley & Sons, Masson, 1994

    Google Scholar 

  6. Roska, T., Chua, L., Wolf, D., Kozek, T., Tetzla., R., Puffer, F.: Simulating nonlinear waves and PDEs via CNN-Part I: Basic Techniques, Part II: Typical Examples, IEEE Trans. Circuit and Syst.-I, 42 N 10 (1995) 809–820

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, 1113, Soffia, Bulgaria

    Peter Popivanov & Angela Slavova

Authors
  1. Peter Popivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Angela Slavova
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Popivanov, P., Slavova, A. (2001). Cellular Neural Network Model for Nonlinear Waves in Medium with Exponential Memory. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_81

Download citation

  • DOI: https://doi.org/10.1007/3-540-45262-1_81

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics