8 citations · 8 across the 1 of their papers we have counts for
3 papers
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.CD2002
Hierarchical Markovian modeling of multi-time scale systems
M. Abel, K. H. Andersen, G. Lacorata
We present a systematic way to analyze and model systems having many characteristic time-scales. The method we propose is employed for a test-case of a meandering jet model manifes…
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…