General properties of propagation in chaotic systems
chao-dyn
2007-05-23 v1 Chaotic Dynamics
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 CO_2 laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.
Keywords
Cite
@article{arxiv.chao-dyn/9911025,
title = {General properties of propagation in chaotic systems},
author = {G. Giacomelli and R. Hegger and A. Politi and M. Vassalli},
journal= {arXiv preprint arXiv:chao-dyn/9911025},
year = {2007}
}
Comments
10 pages, 3 figures