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Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions

Gavin, Christine, Aston, Philip and Derks, Gerardina (2016) Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions Extended Abstracts Spring 2016.. pp. 65-70.

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Abstract

Motivated by a problem from pharmacology, we consider a general two parameter slow-fast system in which the critical set consists of a one dimensional manifold and a two dimensional manifold, intersecting transversally at the origin. Using geometric desingularisation, we show that for a subset of the parameter set there is an exchange of stabilities between the attracting components of the critical set and the direction of the continuation can be expressed in terms of the parameters.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Gavin, Christinec.gavin@surrey.ac.ukUNSPECIFIED
Aston, PhilipP.Aston@surrey.ac.ukUNSPECIFIED
Derks, GerardinaG.Derks@surrey.ac.ukUNSPECIFIED
Date : 27 May 2016
Funders : EPSRC
Identification Number : https://doi.org/10.1007/978-3-319-55642-0_12
Copyright Disclaimer : The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-55642-0_12
Related URLs :
Additional Information : Part of the Trends in Mathematics book series (TM, volume 8)
Depositing User : Symplectic Elements
Date Deposited : 29 Jun 2016 10:21
Last Modified : 21 Jun 2017 10:35
URI: http://epubs.surrey.ac.uk/id/eprint/811071

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