ON TELEGRAPH COUPLED MAP LATTICE AND ITS APPLICATIONS

E. Ahmed, H. A. Abdusalam () and E. S. Fahmy
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E. Ahmed: Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.;
H. A. Abdusalam: Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt
E. S. Fahmy: Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 10, 1525-1535

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.

Keywords: Telegraph reaction diffusion equation; coupled map lattice; persistence; finite amplitude instability (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002863

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