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Article: Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method

TitleBifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method
Authors
KeywordsBifurcations
Incremental Harmonic Balance Method
Mathieu-Duffing Oscillator
Routes To Chaos
Issue Date2008
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, 2008, v. 52 n. 4, p. 403-414 How to Cite?
AbstractBifurcations and route to chaos of the Mathieu-Duffing oscillator are investigated by the incremental harmonic balance (IHB) procedure. A new scheme for selecting the initial value conditions is presented for predicting the higher order periodic solutions. A series of period-doubling bifurcation points and the threshold value of the control parameter at the onset of chaos can be calculated by the present procedure. A sequence of period-doubling bifurcation points of the oscillator are identified and found to obey the universal scale law approximately. The bifurcation diagram and phase portraits obtained by the IHB method are presented to confirm the period-doubling route-to-chaos qualitatively. It can also be noted that the phase portraits and bifurcation points agree well with those obtained by numerical time-integration. © 2007 Springer Science+Business Media B.V.
Persistent Identifierhttp://hdl.handle.net/10722/156955
ISSN
2015 Impact Factor: 3.0
2015 SCImago Journal Rankings: 1.511
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorShen, JHen_US
dc.contributor.authorLin, KCen_US
dc.contributor.authorChen, SHen_US
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:44:42Z-
dc.date.available2012-08-08T08:44:42Z-
dc.date.issued2008en_US
dc.identifier.citationNonlinear Dynamics, 2008, v. 52 n. 4, p. 403-414en_US
dc.identifier.issn0924-090Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156955-
dc.description.abstractBifurcations and route to chaos of the Mathieu-Duffing oscillator are investigated by the incremental harmonic balance (IHB) procedure. A new scheme for selecting the initial value conditions is presented for predicting the higher order periodic solutions. A series of period-doubling bifurcation points and the threshold value of the control parameter at the onset of chaos can be calculated by the present procedure. A sequence of period-doubling bifurcation points of the oscillator are identified and found to obey the universal scale law approximately. The bifurcation diagram and phase portraits obtained by the IHB method are presented to confirm the period-doubling route-to-chaos qualitatively. It can also be noted that the phase portraits and bifurcation points agree well with those obtained by numerical time-integration. © 2007 Springer Science+Business Media B.V.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090Xen_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.subjectBifurcationsen_US
dc.subjectIncremental Harmonic Balance Methoden_US
dc.subjectMathieu-Duffing Oscillatoren_US
dc.subjectRoutes To Chaosen_US
dc.titleBifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance methoden_US
dc.typeArticleen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11071-007-9289-zen_US
dc.identifier.scopuseid_2-s2.0-42449127128en_US
dc.identifier.hkuros145817-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-42449127128&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume52en_US
dc.identifier.issue4en_US
dc.identifier.spage403en_US
dc.identifier.epage414en_US
dc.identifier.eissn1573-269X-
dc.identifier.isiWOS:000255197100010-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridShen, JH=7404930726en_US
dc.identifier.scopusauthoridLin, KC=24076419600en_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US

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