Shape of transition layers in a differential--delay equation

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Shape of transition layers in a differential--delay equation

We use asymptotic techniques to describe the bifurcation from steady-state to a periodic solution in the singularly perturbed delayed logistic equation εx˙(t) = −x(t)+ λ f(x(t − 1)) with ε ≪ 1. The solution has the form of plateaus of approximately unit width separated by narrow transition layers...

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Bibliographic Details
Main Author:	Wattis, Jonathan A.D.
Format:	Article
Published:	Oxford University Press 2017
Subjects:	Asymptotic analysis differential > delay equation transition layers
Online Access:	https://eprints.nottingham.ac.uk/42038/

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