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nlin.PS2004★ 8 cited
Temporal chaos versus spatial mixing in reaction-advection-diffusion systems
Arthur V. Straube, Markus Abel, Arkady Pikovsky
We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the sta…
nlin.PS2002
Nonparametric modeling and spatiotemporal dynamical systems
M. Abel
In this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive…