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Article: Periodic solutions of strongly quadratic non-linear oscillators by the elliptic Lindstedt-Poincaré method

TitlePeriodic solutions of strongly quadratic non-linear oscillators by the elliptic Lindstedt-Poincaré method
Authors
Chen, SHYang, XMCheung, YK
Issue Date1999
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1999, v. 227 n. 5, p. 1109-1118 How to Cite?
AbstractThe elliptic Lindstedt-Poincaré method is used/employed to study the periodic solutions of quadratic strongly non-linear oscillators of the form ẍ + c1x + c2x2 = ε f(x,. ẋ), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical Lindstedt-Poincaré method. The generalized Van de Pol equation with f(x, ẋ) = μ0 + μ1x - μ2x2 is studied in detail. Comparisons are made with the solutions obtained by using the Lindstedt-Poincaré method and Runge-Kutta method to show the efficiency of the present method. © 1999 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/150236
ISSN
0022-460X
2023 Impact Factor: 4.3
2023 SCImago Journal Rankings: 1.225
ISI Accession Number ID
WOS:000083910400013
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_US
dc.contributor.authorYang, XMen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:02:38Z-
dc.date.available2012-06-26T06:02:38Z-
dc.date.issued1999en_US
dc.identifier.citationJournal Of Sound And Vibration, 1999, v. 227 n. 5, p. 1109-1118en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150236-
dc.description.abstractThe elliptic Lindstedt-Poincaré method is used/employed to study the periodic solutions of quadratic strongly non-linear oscillators of the form ẍ + c1x + c2x2 = ε f(x,. ẋ), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical Lindstedt-Poincaré method. The generalized Van de Pol equation with f(x, ẋ) = μ0 + μ1x - μ2x2 is studied in detail. Comparisons are made with the solutions obtained by using the Lindstedt-Poincaré method and Runge-Kutta method to show the efficiency of the present method. © 1999 Academic Press.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titlePeriodic solutions of strongly quadratic non-linear oscillators by the elliptic Lindstedt-Poincaré methoden_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0037808065en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037808065&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume227en_US
dc.identifier.issue5en_US
dc.identifier.spage1109en_US
dc.identifier.epage1118en_US
dc.identifier.isiWOS:000083910400013-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChen, SH=7410249167en_US
dc.identifier.scopusauthoridYang, XM=37027919400en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.issnl0022-460X-

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