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dc.contributor.author
Arroyo, Sebastián Ismael
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dc.contributor.author
Zanette, Damian Horacio
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dc.date.available
2020-06-04T15:14:04Z
dc.date.issued
2016-01
dc.identifier.citation
Arroyo, Sebastián Ismael; Zanette, Damian Horacio; Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators; Springer; European Physical Journal B - Condensed Matter; 89; 12; 1-2016; 1-8
dc.identifier.issn
1434-6028
dc.identifier.uri
http://hdl.handle.net/11336/106664
dc.description.abstract
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating systems. First, we study the stability of periodic motion when the phase shift between the external force and the oscillation is controlled-contrary to the standard case, where the control parameter is the frequency of the force. Phase-shift control is the operational configuration under which self-sustained oscillators-and, in particular, micromechanical oscillators-provide a frequency reference useful for time keeping. We show that, contrary to the standard forced Duffing oscillator, under phaseshift control oscillations are stable over the whole resonance curve, and provide analytical approximate expressions for the time dependence of the oscillation amplitude and frequency during transients. Second, we analyze a model for the internal resonance between the main Duffing oscillation mode and a higherharmonic mode of a vibrating solid bar clamped at its two ends. We focus on the stabilization of the oscillation frequency when the resonance takes place, and present preliminary experimental results that illustrate the phenomenon. This synchronization process has been proposed to counteract the undesirable frequency-amplitude interdependence in nonlinear time-keeping micromechanical devices.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
NONLINEAR OSCILLATORS
dc.subject
INTERNAL RESONANCE
dc.subject
DYNAMICAL SYSTEMS
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-05-22T17:51:39Z
dc.journal.volume
89
dc.journal.number
12
dc.journal.pagination
1-8
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlín
dc.description.fil
Fil: Arroyo, Sebastián Ismael. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Quilmes; Argentina
dc.description.fil
Fil: Zanette, Damian Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.journal.title
European Physical Journal B - Condensed Matter
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1140/epjb/e2015-60517-3
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjb/e2015-60517-3
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