Convective Lyapunov exponents and propagation of correlations

G  Giacomelli; R  Hegger; A  Politi; M  Vassalli

doi:10.1103/PhysRevLett.85.3616

Convective Lyapunov exponents and propagation of correlations

G Giacomelli, R Hegger, A Politi, M Vassalli

Physics

Research output: Contribution to journal › Article › peer-review

27 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 language	English
Pages (from-to)	3616-3619
Number of pages	4
Journal	Physical Review Letters
Volume	85
Issue number	17
DOIs	https://doi.org/10.1103/PhysRevLett.85.3616
Publication status	Published - 23 Oct 2000

Keywords

coupled-map lattices
dynamical-systems
feedback
flow

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10.1103/PhysRevLett.85.3616

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AU - Politi, A

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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

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JO - Physical Review Letters

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Convective Lyapunov exponents and propagation of correlations

Abstract

Keywords

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