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G. M. Chechin and V. P. Sakhenenko, “Interactions between Normal Modes in Nonlinear Dynamical System with Discrete Symmetry. Exact Results,” Physica D, Vol. 117, No. 1-4, 1998, pp. 43-76. doi:10.1016/S0167-2789(98)80012-2

has been cited by the following article:

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

  AUTHORS: Saïdou Abdoulkary, Tibi Beda, Serge Y. Doka, Fabien II Ndzana, Louis Kavitha, Alidou Mohamadou

  KEYWORDS: Generalized Dissipative Discrete Complex Ginzburg-Landau Equation; Discrete Lange Newell-Criterion; Pulse Trains; Solitary Patterns

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.6, June 21, 2012

  ABSTRACT: 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.