非线性链禁带中的能量传输
Energy transmission in the forbidden bandgap of a nonlinear chain
摘要:
由一端驱动的非线性链可以通过非线性模式在禁带中传播能量。对于给定频率的谐波驱动,该过程发生在阈值振幅处,由突然的大能量流引起,我们称之为非线性超传输。能量传输的分叉数值和实验上的耦合摆链(sine-Gordon和非线性Klein-Gordon方程)和一个非常简单的理论支持。
英文摘要:
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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