A general method to predict the amplitude of oscillation in nearly-sinusoidal oscillators

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dc.contributor.authorMaggio, Gian Mario
dc.contributor.authorDe Feo, Oscar
dc.contributor.authorKennedy, Michael Peter
dc.contributor.funderArmy Research Officeen
dc.contributor.funderSchweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Switzerlanden
dc.date.accessioned2010-04-07T12:20:19Z
dc.date.available2010-04-07T12:20:19Z
dc.date.issued2004-08
dc.date.updated2010-03-26T13:57:13Z
dc.description.abstractIn this paper, a general methodology for predicting the amplitude of oscillation in nearly sinusoidal oscillators is presented. The method relies on the recently proposed projection technique for the computation of the center manifold and on the Hopf normal form theory to approximate the corresponding limit cycle in state space. The Colpitts oscillator is selected as a case study and, for this circuit, a closed-form expression for the amplitude of oscillation is derived as a function of the circuit parameters.en
dc.description.sponsorshipArmy Research Office, United States (Grant DAAG55-98-1-0269); Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Switzerland (Grant FN-2000-63789.00)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMaggio, G.M., de Feo O. and Kennedy, M.P. (2004) 'A general method to predict the amplitude of oscillaton in nearly-sinusoidal oscillators'. IEEE Transactions On Circuits and Systems I-Regular Papers, 51 (8):1586-1595.en
dc.identifier.doi10.1109/TCSI.2004.832793
dc.identifier.endpage1595en
dc.identifier.issn1549-8328
dc.identifier.issued8en
dc.identifier.journaltitleIEEE Transactions On Circuits and Systems I - Regular Papersen
dc.identifier.startpage1586en
dc.identifier.urihttps://hdl.handle.net/10468/145
dc.identifier.volume51en
dc.language.isoenen
dc.publisherIEEEen
dc.rights©2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en
dc.subjectCenter manifold theoremen
dc.subjectColpitts oscillatoren
dc.subjectHopf normal form theoremen
dc.subjectOscillation amplitudeen
dc.subject.lcshOscillators, Electricen
dc.subject.lcshBifurcation theoryen
dc.subject.lcshEigenvaluesen
dc.subject.lcshEigenfunctionsen
dc.subject.lcshState-space methodsen
dc.titleA general method to predict the amplitude of oscillation in nearly-sinusoidal oscillatorsen
dc.typeArticle (peer-reviewed)en
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