Special Session 69: Dissipative Systems and Applications
نویسندگان
چکیده
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, that of a bounded domain with periodicity conditions. A linear stability analysis is made with the help of computational arguments (showing evidence of the fulfilment of the delicate transversality condition). In the last section the bifurcation takes place starting from a 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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