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dc.contributor.authorZou, Keguan
Nagarajaiah, Satish
dc.date.accessioned 2014-10-07T23:23:50Z
dc.date.available 2014-10-07T23:23:50Z
dc.date.issued 2014
dc.identifier.citation Zou, Keguan and Nagarajaiah, Satish. "An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation." Communications in Nonlinear Science and Numerical Simulation, (2014) http://dx.doi.org/10.1016/j.cnsns.2014.08.015.
dc.identifier.urihttps://hdl.handle.net/1911/77438
dc.description.abstract A 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.
dc.language.iso eng
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.title An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
dc.type Journal article
dc.contributor.funder China Scholarship Council
dc.citation.journalTitle Communications in Nonlinear Science and Numerical Simulation
dc.subject.keywordsymmetry-breaking bifurcation
period-doubling bifurcation
homotopy analysis method
analytical approximation
dc.contributor.publisher Elsevier
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1016/j.cnsns.2014.08.015
dc.type.publication post-print


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