Numerical bifurcation analysis of a class of nonlinear renewal equations

Numerical bifurcation analysis of a class of nonlinear renewal equations

We show, by way of an example, that numerical bifurcation tools for ODE yield reliable bifurcation diagrams when applied to the pseudospectral approximation of a one-parameter family of nonlinear renewal equations. The example resembles logistic- and Ricker-type population equations and exhibits tra...

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Bibliographic Details
Main Authors: Dimitri Breda, Odo Diekmann, Davide Liessi, Francesca Scarabel
Format: Article
Language:English
Published: University of Szeged 2016-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
renewal equations
structured populations
stability of periodic solutions
period doubling cascade
numerical continuation and bifurcation
pseudospectral and collocation methods
kaplan-yorke periodic orbits
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5273

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5273

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