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Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 066604
Cut-off Solitons and Bistability of the Discrete LC Electrical Line, Theory and Experiments
K. Tse Ve Koon1, Patrick Marquié2, P. Tchofo-Dinda1, J. Leon3

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.
1 :  Institut Carnot de Bourgogne
2 :  Le2i - Laboratoire Electronique, Informatique et Image
3 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Science non linéaire/Formation de Structures et Solitons