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Article: A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems

TitleA new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems
Authors
Chen, SHShen, JHSze, KY
KeywordsLimit cycle analysis
Modified L-P method
New perturbation procedure
Three-dimensional systems
Issue Date2009
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090X
Citation
Nonlinear Dynamics, 2009, v. 56 n. 3, p. 255-268 How to Cite?
DOI: http://dx.doi.org/10.1007/s11071-008-9397-4
AbstractBy introducing a new parametric transformation and a suitable nonlinear frequency expansion, the modified Lindstedt-Poincaré method is extended to derive analytical approximations for limit cycles in three-dimensional nonlinear autonomous dynamical systems. By considering two typical examples, it can be seen that the results of the present method are in good agreement with those obtained numerically even if the control parameter is moderately large. Moreover, the present prediction is considerably more accurate than some published results obtained by the multiple time scales method and the normal form method. © 2008 Springer Science+Business Media B.V.
Persistent Identifierhttp://hdl.handle.net/10722/59066
ISSN
0924-090X
2021 Impact Factor: 5.741
2020 SCImago Journal Rankings: 1.252
ISI Accession Number ID
WOS:000264841600006
Funding AgencyGrant Number
National Natural Science Foundation of China10672193
10272117
University of Hong Kong
Funding Information:

The financial supports from the National Natural Science Foundation of China (10672193, 10272117) and the University of Hong Kong (CRGC Grant) are gratefully acknowledged.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_HK
dc.contributor.authorShen, JHen_HK
dc.contributor.authorSze, KYen_HK
dc.date.accessioned2010-05-31T03:42:18Z-
dc.date.available2010-05-31T03:42:18Z-
dc.date.issued2009en_HK
dc.identifier.citationNonlinear Dynamics, 2009, v. 56 n. 3, p. 255-268en_HK
dc.identifier.issn0924-090Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/59066-
dc.description.abstractBy introducing a new parametric transformation and a suitable nonlinear frequency expansion, the modified Lindstedt-Poincaré method is extended to derive analytical approximations for limit cycles in three-dimensional nonlinear autonomous dynamical systems. By considering two typical examples, it can be seen that the results of the present method are in good agreement with those obtained numerically even if the control parameter is moderately large. Moreover, the present prediction is considerably more accurate than some published results obtained by the multiple time scales method and the normal form method. © 2008 Springer Science+Business Media B.V.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090Xen_HK
dc.relation.ispartofNonlinear Dynamicsen_HK
dc.subjectLimit cycle analysisen_HK
dc.subjectModified L-P methoden_HK
dc.subjectNew perturbation procedureen_HK
dc.subjectThree-dimensional systemsen_HK
dc.titleA new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0924-090X&volume=56&issue=3&spage=255&epage=268&date=2009&atitle=A+new+perturbation+procedure+for+limit+cycle+analysis+in+three-dimensional+nonlinear+autonomous+dynamical+systemsen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s11071-008-9397-4en_HK
dc.identifier.scopuseid_2-s2.0-63949085775en_HK
dc.identifier.hkuros160759en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63949085775&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume56en_HK
dc.identifier.issue3en_HK
dc.identifier.spage255en_HK
dc.identifier.epage268en_HK
dc.identifier.isiWOS:000264841600006-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChen, SH=13303161800en_HK
dc.identifier.scopusauthoridShen, JH=7404930726en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.issnl0924-090X-

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