Energy Transmission in the Forbidden Band Gap of a Nonlinear Chain

F. Geniet and J. Leon
Phys. Rev. Lett. 89, 134102 – Published 9 September 2002

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 occurs 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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  • Received 11 February 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.134102

©2002 American Physical Society

Authors & Affiliations

F. Geniet and J. Leon

  • Physique Mathématique et Théorique, CNRS-UMR5825, 34095 Montpellier Cedex 05, France

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Issue

Vol. 89, Iss. 13 — 23 September 2002

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