0000000000353327

AUTHOR

Bernard Michaux

showing 2 related works from this author

Diffusion effects in a nonlinear electrical lattice

1998

International audience; We consider a nonlinear electrical network modeling the generalized Nagumo equation. Focusing on the particular case where the initial load of the lattice consists in the superimposition of a coherent information weakly varying in space and a perturbation of small amplitude, we show that the perturbation can be eliminated quickly, almost without disturbing the information.

Physics[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image ProcessingMathematical analysisPerturbation (astronomy)Coherent information[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processingSmall amplitude01 natural sciences010305 fluids & plasmaslaw.inventionNonlinear system[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][INFO.INFO-TS]Computer Science [cs]/Signal and Image ProcessinglawLattice (order)Electrical network0103 physical sciencesInitial loadSuperimposition[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physics[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
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Experimental nonlinear electrical reaction-diffusion lattice

1998

International audience; A nonlinear electrical reaction-diffusion lattice modelling the Nagumo equation is presented. It is shown that this system supports front propagation with a given velocity. This propagation is observed experimentally using a video acquisition system, and the measured velocity of the front is in perfect agreement with the theoretical prediction.

Mechanics01 natural sciences010305 fluids & plasmasNonlinear systemFront propagation[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Control theoryLattice (order)0103 physical sciencesReaction–diffusion systemNonlinear network analysis[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Electrical and Electronic Engineering010306 general physicsNonlinear Sciences::Pattern Formation and SolitonsMathematics
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