Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations

Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary equations). Next one can use tools perform a numerical bifurcation analysis. By way of an example we show that this yields efficient and reliable method qualitatively as well quantitatively analyse certain DDE. To substantiate the method, next structure approximating is reminiscent generator translation along solutions Concentrating on Hopf bifurcation, then exploit similarity reveal connection between coefficients prove convergence latter former when dimension approaches infinity.