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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…
nlin.CD2004★ 10 cited
Static and Dynamic Correlations in Many-Particle Lyapunov Vectors
Günter Radons, Hongliu Yang
We introduce static and dynamic correlation functions for the spatial densities of Lyapunov vector fluctuations. They enable us to show, for the first time, the existence of hydrod…