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Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions

Gavin, C, Aston, PJ and Derks, GLA (2016) Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions Research Perspectives CRM Barcelona: Nonsmooth Dynamics.

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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 :
AuthorsEmailORCID
Gavin, CUNSPECIFIEDUNSPECIFIED
Aston, PJUNSPECIFIEDUNSPECIFIED
Derks, GLAUNSPECIFIEDUNSPECIFIED
Date : 29 December 2016
Funders : EPSRC
Copyright Disclaimer : The final publication is available at Springer via http://dx.doi.org/[insert DOI].
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 29 Jun 2016 10:21
Last Modified : 29 Jun 2016 10:21
URI: http://epubs.surrey.ac.uk/id/eprint/811071

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