We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available. Pseudospectral discretization is applied to the abstract reformulation of equations with infinite delay to obtain a finite dimensional system of ordinary differen- tial equations, whose properties can be numerically studied with well-developed software. We explore the applicability of the method on some test problems and provide some nu- merical evidence of the convergence of the approximations.
Equations with infinite delay: Numerical bifurcation analysis via pseudospectral discretization
SCARABEL, FrancescaMembro del Collaboration Group
;Rossana Vermiglio
Membro del Collaboration Group
2018-01-01
Abstract
We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available. Pseudospectral discretization is applied to the abstract reformulation of equations with infinite delay to obtain a finite dimensional system of ordinary differen- tial equations, whose properties can be numerically studied with well-developed software. We explore the applicability of the method on some test problems and provide some nu- merical evidence of the convergence of the approximations.File in questo prodotto:
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