The Ginzburg-Landau Equation in Its Role as a Modulation Equation

159 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, methodology): “Furthermore, many interesting multi-dimensional problems in cylindrical domains can be reduced to this one-dimensional one by using the so-called spatial center manifold reduction, see [3,30,128,163,164], and the references therein.”
Computing absolute and essential spectra using continuation (2007, background): “which is an approximate modulation equation valid near the onset of certain instabilities of the essential spectrum; see the review [8] and references therein.”
Attractors of reaction‐diffusion systems in unbounded domains and their spatial complexity (2003, background): “, for complex Ginzburg-Landau equations), more powerful results have been obtained (see [30] and the references therein).”
The Dynamics of Modulated Wave Trains (2009, methodology): “We refer to [1] and [42] for recent reviews of the physical and mathematical aspects, respectively, of the Ginzburg–Landau equation.”