Local Lyapunov exponents for spatiotemporal chaos

Local Lyapunov exponents are proposed for characterization of perturbations in distributed dynamical systems with chaotic behavior. Their relation to usual and velocity–dependent exponents is discussed. Local Lyapunov exponents are analytically calculated for coupled map lattices using random field...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 1993-04, Vol.3 (2), p.225-232
Main Author: Pikovsky, Arkady S.
Format: Article
Language:English
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Summary:Local Lyapunov exponents are proposed for characterization of perturbations in distributed dynamical systems with chaotic behavior. Their relation to usual and velocity–dependent exponents is discussed. Local Lyapunov exponents are analytically calculated for coupled map lattices using random field approximation. Boundary Lyapunov exponents describing reflection of perturbations at boundaries are also introduced and calculated.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.165987