Energy localization in a nonlinear discrete system

被引：20

作者：

Bilbault, JM

Marquie, P

机构：

[1] Laboratoire de Physique de l’Université de Bourgogne, Phénomènes Non Linéaires, Dijon, 21100

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.53.5403

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We show that, in the weak amplitude and slow time limits, the discrete equations describing the dynamics of a one-dimensional lattice can be reduced to a modified Ablowitz-Ladik equation. The stability of a continuous wave solution is then investigated without and with periodic boundary conditions; Energy localization via modulational instability is predicted. Our numerical simulations, performed on a cyclic system of six oscillators, agree with our theoretical predictions.

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页码：5403 / 5408

页数：6

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