On the analysis of Hopf bifurcation associated with a two-fold zero eigenvalue, Part 2: Nonautonomous system

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dc.contributor.authorMoh'd, M
dc.contributor.authorHuseyin, K
dc.date.accessioned2026-02-06T18:51:08Z
dc.date.issued1999
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThis paper extends the bifurcation and stability analysis of the autonomous system considered in Part 1 to the case of a corresponding nonautonomous system. The effect of an external harmonic excitation on the Hopf bifurcation is studied via a modified Intrinsic Harmonic Balancing technique. It is observed that a shift in the critical value of the parameter occurs due to the external excitation. The analysis is carried out with the aid of MAPLE which is also instrumental in verifying the consistency of the approximations conveniently.
dc.identifier.doi10.1115/1.2893935
dc.identifier.endpage109
dc.identifier.issn1048-9002
dc.identifier.issue1
dc.identifier.scopus2-s2.0-0032763366
dc.identifier.scopusqualityQ1
dc.identifier.startpage105
dc.identifier.urihttps://doi.org/10.1115/1.2893935
dc.identifier.urihttps://hdl.handle.net/11129/15213
dc.identifier.volume121
dc.identifier.wosWOS:000078350600016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAsme-Amer Soc Mechanical Eng
dc.relation.ispartofJournal of Vibration and Acoustics-Transactions of the Asme
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.titleOn the analysis of Hopf bifurcation associated with a two-fold zero eigenvalue, Part 2: Nonautonomous system
dc.typeArticle

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