0000000000430766

AUTHOR

David Yemele

showing 4 related works from this author

Chaotic-like behavior of modulated waves in a nonlinear discrete LC transmission line

2003

International audience; Modulational instability (MI) in a discrete nonlinear LC transmission line is investigated. The higher order nonlinear Schrodinger (NLS) equation modeling modulated waves propagation in the network allows to predict the MI conditions, with additional features, compared to the standard NLS model. More precisely, a chaotic-like behavior of the system, which is observed in a particular frequency domain, is related to the nonrepeatability of the numerical experiments.

Physicsbusiness.industryGeneral MathematicsApplied MathematicsMathematical analysisChaoticGeneral Physics and AstronomyOrder (ring theory)Statistical and Nonlinear Physics01 natural sciences010305 fluids & plasmassymbols.namesakeModulational instabilityNonlinear systemOptics[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Transmission lineFrequency domain0103 physical sciencessymbols[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsbusinessNonlinear Sciences::Pattern Formation and SolitonsSchrödinger's cat
researchProduct

Long-time dynamics of modulated waves in a nonlinear discrete LC transmission line.

2003

International audience; The long-time dynamics of modulated waves in a nonlinear LC transmission line is investigated. Considering the higher-order nonlinear Schrodinger equation, we define analytically the conditions leading to the instability of modulated waves. We show that two kinds of instabilities may develop in the network depending on the frequency range of the chosen carrier wave and on the magnitude of its initial amplitude, which is confirmed by our numerical simulations. The nonreproducibility of numerical experiments on modulated waves is also considered.

PhysicsWave propagationbusiness.industryDynamics (mechanics)Magnitude (mathematics)Mechanics01 natural sciencesInstability010305 fluids & plasmassymbols.namesakeNonlinear systemAmplitudeOptics[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Transmission line0103 physical sciencessymbols[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsbusinessNonlinear Schrödinger equationPhysical review. E, Statistical, nonlinear, and soft matter physics
researchProduct

Compact-like pulse signals in a new nonlinear electrical transmission line

2013

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 …

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 evolutionVoltageMathematics
researchProduct

LONG TIME DYNAMICS OF MODULATED WAVES IN A NONLINEAR DISCRETE LC TRANSMISSION LINE

2003

The long-time dynamics of modulated waves in a nonlinear LC transmission line is investigated. Considering the higher-order nonlinear Schrodinger equation, we define analytically the conditions leading to the instability of modulated waves. We show that two kinds of instabilities may develop in the network depending on the frequency range of the chosen carrier wave and on the magnitude of its initial amplitude, which is confirmed by our numerical simulations. The nonreproducibility of numerical experiments on modulated waves is also considered.

PhysicsNonlinear systemsymbols.namesakeAmplitudeTransmission lineDynamics (mechanics)Electronic engineeringsymbolsRange (statistics)Magnitude (mathematics)MechanicsInstabilityNonlinear Schrödinger equationNonlinear Physics
researchProduct