Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/16226
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dc.contributor.authorWilkes, Bernard Wen
dc.date.accessioned2014-12-05T16:12:00Z
dc.date.created1995en
dc.date.issued1996en
dc.identifier.urihttps://hdl.handle.net/1959.11/16226en
dc.description.abstractThis thesis gives a detailed and much expanded account of the following two papers, filling in details of the proofs, and using Maple for numerical work: Hastings, S.P. and Murray, J.D. 1975. 'The Existence of Oscillatory Solutions in the Field-Noyes Model for the Belousov-Zhabotinski Reactions', SIAM Journal of Applied Mathematics, 28(3), pp. 678-688. Hassard, B. and Jiang, K. 1992. 'Unfolding a Point of Degenerate Hopf Bifurcation in an Enzyme-catalyzed Reaction Model', SIAM Journal of Mathematical Analysis, 23(5), pp. 1291-1304. Two different chemical reactions, each of which are modelled by systems of ordinary differential equations, are examined to show that Hopf bifurcations occur at certain parameter values, giving rise to periodic solutions.en
dc.languageenen
dc.titleMathematical models of chemical reactions illustrating Hopf bifurcations and oscillatory behaviour: A. The Belousov-Zhabotinski reaction. B. An enzyme-catalysed reaction known as the S-A systemen
dc.typeThesis Masters Researchen
dcterms.accessRightsUNE Greenen
local.contributor.firstnameBernard Wen
dcterms.RightsStatementCopyright 1995 - Bernard W Wilkesen
dc.date.conferred1996en
local.thesis.degreelevelMasters researchen
local.thesis.degreenameMaster of Scienceen
local.contributor.grantorUniversity of New Englanden
local.output.categoryT1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordvtls008559989en
local.title.subtitleA. The Belousov-Zhabotinski reaction. B. An enzyme-catalysed reaction known as the S-A systemen
local.access.fulltextYesen
local.contributor.lastnameWilkesen
local.profile.roleauthoren
local.identifier.unepublicationidune:16463en
local.title.maintitleMathematical models of chemical reactions illustrating Hopf bifurcations and oscillatory behaviouren
local.output.categorydescriptionT1 Thesis - Masters Degree by Researchen
local.description.statisticsepubsVisitors: 146<br />Views: 143<br />Downloads: 9en
local.thesis.borndigitalnoen
local.search.authorWilkes, Bernard Wen
local.open.fileurlhttps://rune.une.edu.au/web/retrieve/c93fd533-e65b-47f2-bce5-3b4b2cada68fen
local.open.fileurlhttps://rune.une.edu.au/web/retrieve/2503da77-f1c3-4018-bb93-f2b3a850196aen
local.open.fileurlhttps://rune.une.edu.au/web/retrieve/2788dbee-b090-4544-a092-cde13b383d93en
Appears in Collections:Thesis Masters Research
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