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Chaotic Solutions Of The Dirichlet Problems For The Forced Nagumo Equation

Author

Listed:
  • H. I. ABDEL-GAWAD

    (Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt)

  • H. A. ABDUSALAM

    (Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt;
    Kingdom of Saudi Arabia, Ministry of Higher Education, King Saud University, College of Sciences, Mathematics Department, P. O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

Using an approach developed by one of the authors, approximate solutions of the null-Dirichlet problem for the forced Nagumo equation are obtained. It is shown that these solutions are chaotic whatever the values of the control parameter in this equation. It is also shown that in the absence of the external force the solutions are chaotic for negative values of the control parameter. However, these solutions are quasi-periodic for large time scales.

Suggested Citation

  • H. I. Abdel-Gawad & H. A. Abdusalam, 2003. "Chaotic Solutions Of The Dirichlet Problems For The Forced Nagumo Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 423-432.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:04:n:s0129183103004607
    DOI: 10.1142/S0129183103004607
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