TITLE

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

AUTHOR(S)
Abdoulkary, Saïdou; Beda, Tibi; Doka, Serge Y.; Ndzana, Fabien II; Kavitha, Louis; Mohamadou, Alidou
PUB. DATE
June 2012
SOURCE
Journal of Modern Physics (21531196);Jun2012, Vol. 3 Issue 6, p438
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
78951484

 

Related Articles

  • Existence and stability of localized modes in one-dimensional nonlinear lattices. Yoshimura, Kazuyuki // AIP Conference Proceedings;9/4/2012, Vol. 1474 Issue 1, p59 

    We consider the discrete breathers in one-dimensional diatomic Fermi-Pasta-Ulam lattices. A discrete breather in the limit of zero mass ratio, i.e., the anti-continuous limit, consists of some in-phase or anti-phase excited light particles, separated by particles at rest. The existence of the...

  • Stability in the dissipative steady state. Landauer, Rolf // Physics Today;Nov78, Vol. 31 Issue 11, p23 

    Discusses the concept of stability in dissipative systems. Information of multistable systems; Examples of multistable systems; Calculation of the relative stability of the systems.

  • Secondary threshold amplitudes for sinuous streak breakdown. Cossu, Carlo; Brandt, Luca; Bagheri, Shervin; Henningson, Dan S. // Physics of Fluids;Jul2011, Vol. 23 Issue 7, p074103 

    The nonlinear stability of laminar sinuously bent streaks is studied for the plane Couette flow at Re = 500 in a nearly minimal box and for the Blasius boundary layer at Reδ*=700. The initial perturbations are nonlinearly saturated streamwise streaks of amplitude AU perturbed with sinuous...

  • Nonlinear theory of power dissipation due to the motion of heavy interstitials in a fluctuating inhomogeneous field with a strong bias: Special reference to the Snoek–Köster relaxation. Oğurtani, Tarik Ö.; Seeger, Alfred K. // Journal of Applied Physics;8/1/1987, Vol. 62 Issue 3, p852 

    Describes a nonlinear theory of power dissipation due to the motion of heavy interstitials in a fluctuating inhomogeneous field with a strong bias. Nonlinear theory of microdiffusion in a discrete body-centered-cubic lattice; Power dissipation due to the hopping motions of interstitials;...

  • Forced nonlinear resonance in a system of coupled oscillators. Glebov, Sergei; Kiselev, Oleg; Tarkhanov, Nikolai // Chaos;Jun2011, Vol. 21 Issue 2, p023109 

    We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t∼&eh;-2 one component of the system is described for the most part by the inhomogeneous Mathieu equation while the other...

  • Idealized numerical simulation of breaking water wave propagating over a viscous mud layer. Hu, Yi; Guo, Xin; Lu, Xinhua; Liu, Yi; Dalrymple, Robert A.; Shen, Lian // Physics of Fluids;Nov2012, Vol. 24 Issue 11, p112104 

    Direct numerical simulation and large-eddy simulation are developed to investigate water waves propagating over viscous fluid mud at the bottom, with a focus on the study of wave breaking case. In the simulations, the water surface and the water-mud interface are captured with a coupled...

  • The formation of blobs from a pure interchange process. Zhu, P.; Sovinec, C. R.; Hegna, C. C. // Physics of Plasmas;2015, Vol. 22 Issue 2, p1 

    In this work, we focus on examining a pure interchange process in a shear-less slab configuration as a prototype mechanism for blob formation. We employ full magnetohydrodynamic simulations to demonstrate that the blob-like structures can emerge through the nonlinear development of a pure...

  • On energy balance in wind-driven seas. Zakharov, V.; Badulin, S. // Doklady Earth Sciences;Oct2011, Vol. 440 Issue 2, p1440 

    We show that in the energy balance in the wind-driven sea the process of four-wave nonlinear interaction plays the leading role. This process surpasses competing mechanisms-input energy from wind and dissipation of energy due to white capping at least in order of magnitude. This result is...

  • Stratified turbulence at the buoyancy scale. Waite, Michael L. // Physics of Fluids;Jun2011, Vol. 23 Issue 6, p066602 

    Numerical simulations of forced stratified turbulence are presented, and the dependence on horizontal resolution and grid aspect ratio is investigated. Simulations are designed to model the small-scale end of the atmospheric mesoscale and oceanic submesoscale, for which high horizontal...

Share

Read the Article

Courtesy of NEW JERSEY STATE LIBRARY

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics