General properties of propagation in chaotic systems

1999/11/18 by G. Giacomelli, Giacomelli, G., R. Hegger +5
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9911025

10 pages, 3 figures

arxiv created 1999/11/18 · arxiv updated 2009/11/30

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 spatio-temporal 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.

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