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Amplitude equations for pattern forming systems
In this paper, based on the lectures by PCH and WvS at this summer school, we give an introduction to amplitude equations which describe slow modulations in space and time of patterns occuring inExpand
The Complex Ginzburg-Landau Equation for Beginners
Several systems discussed at this workshop on Spatio-Temporal Patterns in Nonequilibrium Complex Systems have been related to or analyzed in the context of the so-called Complex Ginzburg-LandauExpand
Abundance profiles of CH3OH and H2CO toward massive young stars as tests of gas-grain chemical models
The chemistry of CH3OH and H2CO in thirteen regions of massive star formation is studied through single-dish and interferometer line observations at submillimeter wavelengths. Single-dish spectra atExpand