QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS

(整期优先)网络出版时间:1992-04-14
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Inthispaperamathematicalmodelofchemicalsystemsisinvestigated.WepresenttheconditionsfortheexistenceandlocalstabilityofthesteadystatesandtheperiodicsolutionoftheHopftype.Specifically,weshowbyusinganana-lyticalmethodthattheremayexisttwoorfourHopfbifurcationpointsseparatedatafinitedistancefromeachother;atthesametime,atechniqueforstudyingtheHopfbifurcationvalueisgiven.