Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
نویسندگان
چکیده
منابع مشابه
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
An important clement in the long-time dynamics of pattern forming systems is a class of solutions we will call "coherent structures". These are states that are either themselves localized, or that consist of domains of regular patterns connected by localized defects or interfaces. This paper summarizes and extends recent work on such coherent structures in the one-dimensional complex Ginzburg-L...
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The complex Ginzburg–Landau equation with zero linear dispersion occurs in a wide variety of contexts as the modulation equation near the supercritical onset of a homogeneous oscillation. The analysis of its coherent structures is therefore of great interest. Its fundamental spatiotemporal pattern is wavetrains, which are spatially periodic solutions moving with constant speed (also known as pe...
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We study patterns that arise in the wake of an externally triggered, spatially propagating instability in the complex Ginzburg-Landau equation. We model the trigger by a spatial inhomogeneity moving with constant speed. In the comoving frame, the trivial state is unstable to the left of the trigger and stable to the right. At the trigger location, spatio-temporally periodic wavetrains nucleate....
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 1992
ISSN: 0167-2789
DOI: 10.1016/0167-2789(92)90175-m