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

نویسندگان

  • Saïdou Abdoulkary
  • Tibi Beda
  • Serge Y. Doka
  • Fabien II Ndzana
  • Louis Kavitha
  • Alidou Mohamadou
چکیده

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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تاریخ انتشار 2013