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On Telegraph Coupled Map Lattice And Its Applications

Author

Listed:
  • E. AHMED

    (Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.;
    Mathematics Department, Faculty of Sciences, Mansura, 35516, Egypt)

  • H. A. ABDUSALAM

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

  • E. S. FAHMY

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

Abstract

In the present paper, we will study the general telegraph coupled map lattice and finite amplitude instability will be discussed. The persistence in telegraph reaction diffusion equation (TRD) will be studied in two dimensional systems and we show the critical size effect where phenomena persist only if the domain is large enough. Some applications are introduced and we made a simulation on the small world network, which is more realistic than the ordinary lattices in many cases.

Suggested Citation

  • E. Ahmed & H. A. Abdusalam & E. S. Fahmy, 2001. "On Telegraph Coupled Map Lattice And Its Applications," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1525-1535.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:10:n:s0129183101002863
    DOI: 10.1142/S0129183101002863
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    Cited by:

    1. Abdusalam, H.A., 2006. "Asymptotic solution of wave front of the telegraph model of dispersive variability," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1190-1197.

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