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Cut-off Solitons and Bistability of the Discrete LC Electrical Line, Theory and Experiments

Abstract : A discrete nonlinear system driven at one bend by a periodic excitation of frequency above the upper band edge (the "discreteness induced cut-off") is shown to be a means to (1) generate propagating breather excitations in a long chain, (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) celles. The numerical simulations of the LC-line model allow us also to verify the breather generation prediction with a striking accuracy.
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http://hal.in2p3.fr/in2p3-00149180
Contributor : Francoise Duceau <>
Submitted on : Thursday, May 24, 2007 - 4:42:15 PM
Last modification on : Friday, July 17, 2020 - 2:54:04 PM

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K. Tse Ve Koon, Patrick Marquié, P. Tchofo-Dinda, J. Leon. Cut-off Solitons and Bistability of the Discrete LC Electrical Line, Theory and Experiments. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2007, 75, pp.066604. ⟨10.1103/PhysRevE.75.066604⟩. ⟨in2p3-00149180⟩

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