Ford, Neville J.Lumb, Patricia M.2009-05-192009-05-192004-04http://hdl.handle.net/10034/68595This thesis concerns the development of a method for the detection of small solutions to delay differential equations. The detection of small solutions is important because their presence has significant influence on the analytical prop¬erties of an equation. However, to date, analytical methods are of only limited practical use. Therefore this thesis focuses on the development of a reliable new method, based on finite order approximations of the underlying infinite dimen¬sional problem, which can detect small solutions. Decisions (concerning the existence, or otherwise, of small solutions) based on our visualisation technique require an understanding of the underlying methodol¬ogy behind our approach. Removing this need would be attractive. The method we have developed can be automated, and at the end of the thesis we present a prototype Matlab code for the automatic detection of small solutions to delay differential equations.endelay differential equationsThesis or dissertationThe full-text may be used and/or reproduced in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-profit purposes provided that: - A full bibliographic reference is made to the original source - A link is made to the metadata record in ChesterRep - The full-text is not changed in any way - The full-text must not be sold in any format or medium without the formal permission of the copyright holders. - For more information please email researchsupport.lis@chester.ac.uk