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Descripción
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| We consider the complex Ginzburg-Landau equation with feedback 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 start by considering the case of the whole space and later of a bounded domain with periodicity conditions. A linear stability analysis is made with the help of computational arguments (showing evidence of the fulfillment of the delicate transversality condition). In the last section the bifurcation takes place starting from an uniform oscillation and originates a path over a torus. This is obtained by the application of an abstract result over suitable functional spaces. | |
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Internacional
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No |
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Nombre congreso
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XXII Congreso de Ecuaciones Diferenciales y Aplicaciones / XII Congreso de Matemática Aplicada |
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Tipo de participación
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960 |
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Lugar del congreso
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Universidad de Les Illes Balears, Palma de Mallorca |
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Revisores
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No |
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ISBN o ISSN
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978-84-694-4935-6 |
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DOI
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Fecha inicio congreso
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05/09/2011 |
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Fecha fin congreso
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09/09/2011 |
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Desde la página
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1 |
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Hasta la página
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16 |
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Título de las actas
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Actas del XXII Congreso de Ecuaciones Diferenciales y Aplicaciones / XII Congreso de Matemática Aplicada |