Characterizing dynamics with covariant Lyapunov vectors

被引：213

作者：

Ginelli, F. ^{[1
]}

Poggi, P.

Turchi, A.

Chate, H.

Livi, R.

Politi, A.

机构：

[1] CEA Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France

[2] Univ Florence, Dipartimento Fis, Ist Nazl Fis Nucl, I-50019 Sesto Fiorentino, Italy

[3] Univ Florence, CSDC, I-50019 Sesto Fiorentino, Italy

[4] CNR, ISC, I-50019 Sesto Fiorentino, Italy

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.99.130601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows us to address fundamental questions such as the degree of hyperbolicity, which can be quantified in terms of the transversality of these intrinsic vectors. For spatially extended systems, the covariant Lyapunov vectors have localization properties and spatial Fourier spectra qualitatively different from those composing the orthonormalized basis obtained in the standard procedure used to calculate the Lyapunov exponents.

引用

页数：4

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