Convective Lyapunov exponents and propagation of correlations

Year: 2000

Authors: Giacomelli G., Hegger R., Politi A., Vassalli M.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Istituto Nazionale per la Fisica della Materia, Unità di Firenze, 50125 Firenze, Italy;
Max Planck Institut für Physik Koplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany

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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 85 (17)      Pages from: 3616  to: 3619

KeyWords: COUPLED-MAP LATTICES; DYNAMICAL-SYSTEMS; FEEDBACK; FLOW
DOI: 10.1103/PhysRevLett.85.3616

Citations: 26
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