Bifurcation analysis of delay-induced periodic oscillations

In this paper we consider a generic differential equation with a cubic nonlinearity and delay. This system, in the absence of delay, is known to undergo an oscillatory instability. The addition of the delay is shown to result in the creation of a number of periodic solutions with constant amplitude...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 233; no. 9; pp. 2405 - 2412
Main Author:	Green, K.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.03.2010 Elsevier
Subjects:	Codimension-one and codimension-two bifurcations Delay differential equations Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Ordinary differential equations Organising centres Sciences and techniques of general use Delay differential equations Codimension-one and codimension-two bifurcations Organising centres Differential equation Bifurcation Delay system Periodic solution Delay equation Numerical analysis Feedback Applied mathematics Oscillation Nonlinearity Abstract space Mathematical model
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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