An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation

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dc.citation.journalTitleCommunications in Nonlinear Science and Numerical Simulationen_US
dc.contributor.authorZou, Keguanen_US
dc.contributor.authorNagarajaiah, Satishen_US
dc.date.accessioned2014-10-07T23:23:50Zen_US
dc.date.available2014-10-07T23:23:50Zen_US
dc.date.issued2014en_US
dc.description.abstractA new modification of homotopy analysis method (HAM) is proposed in this paper. The auxiliary differential operator is specifically chosen so that more than one secular term must be eliminated. The proposed method can capture asymmetric and period-2 solutions with satisfactory accuracy and hence can be used to predict symmetry-breaking and period-doubling bifurcation points. The variation of accuracy is investigated when different number of frequencies are considered.en_US
dc.identifier.citationZou, Keguan and Nagarajaiah, Satish. "An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation." <i>Communications in Nonlinear Science and Numerical Simulation,</i> (2014) Elsevier: http://dx.doi.org/10.1016/j.cnsns.2014.08.015.en_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.cnsns.2014.08.015en_US
dc.identifier.urihttps://hdl.handle.net/1911/77438en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordsymmetry-breaking bifurcationen_US
dc.subject.keywordperiod-doubling bifurcationen_US
dc.subject.keywordhomotopy analysis methoden_US
dc.subject.keywordanalytical approximationen_US
dc.titleAn analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcationen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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