88 citations · 130 across the 2 of their papers we have counts for
Showing nlin.CDShow all
2 papers · 1 filter
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★ 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…