Dissipative Discrete System with Nearest-Neighbor Interaction for the Nonlinear Electrical Lattice

Abdoulkary, Saïdou; Beda, Tibi; Doka, Serge Y.; Ndzana, Fabien II; Kavitha, Louis; Mohamadou, Alidou
June 2012
Journal of Modern Physics (21531196);Jun2012, Vol. 3 Issue 6, p438
Academic Journal
A generalized dissipative discrete complex Ginzburg-Landau equation that governs the wave propagation in dissipative discrete nonlinear electrical transmission line with negative nonlinear resistance is derived. This equation presents arbitrarily nearest-neighbor nonlinearities. We analyze the properties of such model both in connection to their modulational stability, as well as in regard to the generation of intrinsic localized modes. We present a generalized discrete Lange-Newell criterion. Numerical simulations are performed and we show that discrete breathers are generated through modulational instability.


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