Convective Lyapunov exponents and propagation of correlations

Giacomelli, G., Hegger, R., Politi, A. and Vassalli, M. (2000) Convective Lyapunov exponents and propagation of correlations. Physical Review Letters, 85(17), 3616. (doi: 10.1103/PhysRevLett.85.3616)

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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 CO 2 laser with delayed feedback. In the last case, the convective Lyapunov exponent is determined directly from the experimental data.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Vassalli, Dr Massimo
Authors: Giacomelli, G., Hegger, R., Politi, A., and Vassalli, M.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN (Online):1079-7114

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