Pseudospectral approximation of Hopf bifurcation for delay differential equations
Babette de Wolff,
Francesca Scarabel,
Sjoerd Verduyn Lunel
et al.
Abstract:Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation analysis. By way of an example we show that this yields an efficient and reliable method to qualitatively as well as quantitatively analyse certain DDE. To substantiate the method, we next show that the structure of the approximating ODE is reminiscent of the structure of the generator of translation along solutions of the DDE. Concentra… Show more
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