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


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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S. Abdoulkary, T. Beda, S. Doka, F. Ndzana, L. Kavitha and A. Mohamadou, "Dissipative Discrete System with Nearest-Neighbor Interaction for the Nonlinear Electrical Lattice," Journal of Modern Physics, Vol. 3 No. 6, 2012, pp. 438-446. doi: 10.4236/jmp.2012.36060.

Conflicts of Interest

The authors declare no conflicts of interest.


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