Browsing by Author "Cross, Simon"

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    Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations
    (2003) Cross, Simon; Barashenkov, Igor
    This thesis deals with localised solutions of the parametrically driven Ginzburg-Landau equation and its nonlinear Schrӧdinger limit. We begin with a detailed analysis of the Faraday Resonance experiment, in which the driven complex Ginzburg-Landau equation (CGLE) arises, and an examination of how the CGLE appears as the amplitude equation for the modes excited near a Hopf bifurcation.