Cutoff solitons and bistability of the discrete inductance-capacitance electrical line: theory and experiments.
A discrete nonlinear system driven at one end by a periodic excitation of frequency above the upper band edge (the discreteness induced cutoff) is shown to be a means to (1) generate propagating breather excitations in a long chain and (2) reveal the bistable property of a short chain. After detailed numerical verifications, the bistability prediction is demonstrated experimentally on an electrical transmission line made of 18 inductance-capacitance (LC) cells. The numerical simulations of the LC -line model allow us also to verify the breather generation prediction with a striking accuracy.
Institut Carnot de Bourgogne, UMR 5209 CNRS, Université de Bourgogne, 9 Avenue A. Savary, Boîte Postal 47 870, 21078 Dijon, France.
K Tse
KT
Ve Koon
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J
Leon
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P
Marquié
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P
Tchofo-Dinda