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Descripción
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| We consider the complex Ginzburg-Landau equation with feed- back control given by some delayed linear terms (possibly dependent of the past spatial average of the solution). We prove several bifurcation results by using the delay as parameter. We prove a Hopf bifurcation result for the equation without diffusion (the so-called Stuart-Landau equation) when the amplitude of the delayed term is suitably chosen. The diffusion case is considered first in the case of the whole space and later on a bounded domain with periodicity conditions. | |
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Internacional
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Si |
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DOI
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978-3-642-20853-9 |
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Edición del Libro
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2011 |
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Editorial del Libro
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Springer |
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ISBN
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978-3-642-20852-2 |
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Serie
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Complexity |
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Título del Libro
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Modern Mathematical Tools and Techniques in Capturing Complexity |
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Desde página
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57 |
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Hasta página
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76 |