Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain

DOI10.1142/S0218127416502382zbMath1357.34119arXiv1609.07763MaRDI QIDQ2969080

A. Torresi, Walter Reartes, Andrea Bel

Publication date: 14 March 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07763

zbMATH Keywords

delay differential equationsfrequency domain methodbifurcations of periodic solutions

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Uses Software

• Mathematica
• Maxima
• DDE-BIFTOOL

Cites Work

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• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• GENERALIZED HOPF BIFURCATION IN A FREQUENCY DOMAIN FORMULATION
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Periodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia

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