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Energy transmission in the forbidden bandgap of a nonlinear chain

F. Geniet·J. Leon
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Abstract

A nonlinear chain driven by one end may propagate energy in the forbidden band gap by means of nonlinear modes. For harmonic driving at a given frequency, the process ocurs at a threshold amplitude by sudden large energy flow, that we call nonlinear supratransmission. The bifurcation of energy transmission is demonstrated numerically and experimentally on the chain of coupled pendula (sine-Gordon and nonlinear Klein-Gordon equations) and sustained by an extremely simple theory.

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F. Geniet, J. Leon. 2002-09-10. Energy transmission in the forbidden bandgap of a nonlinear chain. https://doi.org/10.1103/physrevlett.89.134102

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