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Memorias de investigación
Communications at congresses:
Some Hopf type bifurcation results for delayed complex Ginzburg-Landau equations
Year:2011
Research Areas
  • Equations on partial differentials
Information
Abstract
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.
International
No
Congress
XXII Congreso de Ecuaciones Diferenciales y Aplicaciones / XII Congreso de Matemática Aplicada
960
Place
Universidad de Les Illes Balears, Palma de Mallorca
Reviewers
No
ISBN/ISSN
978-84-694-4935-6
Start Date
05/09/2011
End Date
09/09/2011
From page
1
To page
16
Actas del XXII Congreso de Ecuaciones Diferenciales y Aplicaciones / XII Congreso de Matemática Aplicada
Participants
  • Autor: Alfonso Carlos Casal Piga (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Modelos Matemáticos no Lineales
  • Departamento: Matemática Aplicada a la Edificación, al Medio Ambiente y al Urbanismo
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