6533b828fe1ef96bd1289146
RESEARCH PRODUCT
Compact-like pulse signals in a new nonlinear electrical transmission line
Désiré NdjanfangDavid YemeleTimoleon Crepin KofanePatrick Marquiésubject
Signal processingMathematical analysisCondensed Matter Physics01 natural sciences010305 fluids & plasmasElectronic Optical and Magnetic MaterialsNonlinear systemElectric power transmission[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Robustness (computer science)0103 physical sciences[NLIN.NLIN-PS] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Dissipative system[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Electrical and Electronic Engineering010306 general physicsNonlinear evolutionVoltageMathematicsdescription
International audience; A nonlinear electrical transmission line with an intersite circuit element acting as a nonlinear resistance is introduced and investigated. In the continuum limit, the dynamics of localized signals is described by a nonlinear evolution equation belonging to the family of nonlinear diffusive Burgers' equations. This equation admits compact pulse solutions and shares some symmetry properties with the Rosenau-Hyman K(2,2) equation. An exact discrete compactly- supported signal voltage is found for the network and the dissipative effects on the pulse motion analytically studied. Numerical simulations confirm the validity of analytical results and the robustness of these compact pulse signals which may have important applications in signal processing systems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-01 |