Energy transmission in the forbidden bandgap of a nonlinear chain

Details Energy transmission in the forbidden bandgap of a nonlinear chain Energy transmission in the forbidden bandgap of a nonlinear chain

2002-09-10

arxiv.org/abs/nlin/0209020v1

Nonlinear Sciences

Pattern Formation and Solitons

LaTex file, 6 figures, published in Phys Rev Lett 89 (2002) 134102

Scientific paper

10.1103/PhysRevLett.89.134102

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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