6533b7defe1ef96bd1276947

RESEARCH PRODUCT

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

David YemelePatrick Marquié

subject

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

description

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.

yearjournalcountryeditionlanguage
2003-02-01
https://hal.archives-ouvertes.fr/hal-00649861