Convective Lyapunov exponents and propagation of correlations

G Giacomelli, R Hegger, A Politi, M Vassalli

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture: is successfully tested in three different contexts: (i) a Hamiltonian system (a Fermi-Pasta-Ulam chain of oscillators); (ii) a general model for spatiotemporal chaos (the complex Ginzburg-Landau equation); (iii) experimental data taken from a CO2- laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.

Original languageEnglish
Pages (from-to)3616-3619
Number of pages4
JournalPhysical Review Letters
Volume85
Issue number17
DOIs
Publication statusPublished - 23 Oct 2000

Keywords

  • coupled-map lattices
  • dynamical-systems
  • feedback
  • flow

Cite this

Convective Lyapunov exponents and propagation of correlations. / Giacomelli, G ; Hegger, R ; Politi, A ; Vassalli, M .

In: Physical Review Letters, Vol. 85, No. 17, 23.10.2000, p. 3616-3619.

Research output: Contribution to journalArticle

Giacomelli, G ; Hegger, R ; Politi, A ; Vassalli, M . / Convective Lyapunov exponents and propagation of correlations. In: Physical Review Letters. 2000 ; Vol. 85, No. 17. pp. 3616-3619.
@article{90933e72a4ed4a75a4033c89506a32a1,
title = "Convective Lyapunov exponents and propagation of correlations",
abstract = "We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture: is successfully tested in three different contexts: (i) a Hamiltonian system (a Fermi-Pasta-Ulam chain of oscillators); (ii) a general model for spatiotemporal chaos (the complex Ginzburg-Landau equation); (iii) experimental data taken from a CO2- laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.",
keywords = "coupled-map lattices, dynamical-systems, feedback, flow",
author = "G Giacomelli and R Hegger and A Politi and M Vassalli",
year = "2000",
month = "10",
day = "23",
doi = "10.1103/PhysRevLett.85.3616",
language = "English",
volume = "85",
pages = "3616--3619",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "17",

}

TY - JOUR

T1 - Convective Lyapunov exponents and propagation of correlations

AU - Giacomelli, G

AU - Hegger, R

AU - Politi, A

AU - Vassalli, M

PY - 2000/10/23

Y1 - 2000/10/23

N2 - We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture: is successfully tested in three different contexts: (i) a Hamiltonian system (a Fermi-Pasta-Ulam chain of oscillators); (ii) a general model for spatiotemporal chaos (the complex Ginzburg-Landau equation); (iii) experimental data taken from a CO2- laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.

AB - We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture: is successfully tested in three different contexts: (i) a Hamiltonian system (a Fermi-Pasta-Ulam chain of oscillators); (ii) a general model for spatiotemporal chaos (the complex Ginzburg-Landau equation); (iii) experimental data taken from a CO2- laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.

KW - coupled-map lattices

KW - dynamical-systems

KW - feedback

KW - flow

U2 - 10.1103/PhysRevLett.85.3616

DO - 10.1103/PhysRevLett.85.3616

M3 - Article

VL - 85

SP - 3616

EP - 3619

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

ER -