Modulational estimate for the maximal Lyapunov exponent in Fermi-Pasta-Ulam chains

被引：42

作者：

Dauxois, T ^{[1
]}

Ruffo, S ^{[1
]}

Torcini, A ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Energet Sergio Stecco, I-50139 Florence, Italy

来源：

PHYSICAL REVIEW E | 1997年 / 56卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.56.R6229

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：

In the framework of the Fermi-Pasta-Ulam (FPU) model, we show a simple method to give an accurate analytical estimation of the maximal Lyapunov exponent at high energy density. The method is based on the computation of the mean value of the modulational instability growth rates associated to unstable modes. Moreover. we show that the strong stochasticity threshold found in the beta-FPU system is closely related to a transition in tangent space, the Lyapunov eigenvector being more localized in space at high energy.

引用

页码：R6229 / R6232

页数：4

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