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dc.contributor.authorLóczi, Lajos
dc.date.accessioned2016-02-25T13:10:35Z
dc.date.available2016-02-25T13:10:35Z
dc.date.issued2015-01-07
dc.identifier.citationLóczi L (2015) Discretizing the transcritical and pitchfork bifurcations – conjugacy results. Journal of Difference Equations and Applications 21: 155–196. Available: http://dx.doi.org/10.1080/10236198.2014.992786.
dc.identifier.issn1023-6198
dc.identifier.issn1563-5120
dc.identifier.doi10.1080/10236198.2014.992786
dc.identifier.urihttp://hdl.handle.net/10754/597995
dc.description.abstract© 2015 Taylor & Francis. We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order (Formula presented.) , we show that the time- (Formula presented.) exact and the step-size- (Formula presented.) discretized dynamics are topologically equivalent by constructing a two-parameter family of conjugacies in each case. As a main result, we prove that the constructed conjugacy maps are (Formula presented.) -close to the identity and these estimates are optimal.
dc.description.sponsorshipThe project was supported by the European Union and co-financed by the European Social Fund
dc.publisherInforma UK Limited
dc.subjectconjugacy
dc.subjectdiscretized bifurcations
dc.subjectpitchfork bifurcation
dc.subjecttopological equivalence
dc.subjecttranscritical bifurcation
dc.titleDiscretizing the transcritical and pitchfork bifurcations – conjugacy results
dc.typeArticle
dc.identifier.journalJournal of Difference Equations and Applications
dc.contributor.institutionEötvös Loránd University, Budapest, Hungary
kaust.grant.numberFIC/2010/05 – 2000000231


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