200 citations
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nlin.CD2009★ 42 cited
Lyapunov analysis captures the collective dynamics of large chaotic systems
Kazumasa A. Takeuchi, Francesco Ginelli, Hugues Chaté
We show, using generic globally-coupled systems, that the collective dynamics of large chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on a…
nlin.CD2008★ 166 cited
Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin
F. d'Ovidio, J. Isern-Fontanet, C. Lopez +2
Transport and mixing properties of surface currents can be detected from altimetric data by both Eulerian and Lagrangian diagnostics. In contrast with Eulerian diagnostics, Lagrang…
nlin.CD2008★ 88 cited
Hyperbolicity and the effective dimension of spatially-extended dissipative systems
Hong-liu Yang, Kazumasa A. Takeuchi, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical mode…