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dc.contributor.author
Wang, Mingkang
dc.contributor.author
Perez, Diego Javier
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dc.contributor.author
Lopez, Daniel
dc.contributor.author
Aksyuk, Vladimir A.
dc.date.available
2023-08-18T13:50:48Z
dc.date.issued
2022-12
dc.identifier.citation
Wang, Mingkang; Perez, Diego Javier; Lopez, Daniel; Aksyuk, Vladimir A.; Persistent Nonlinear Phase-Locking and Nonmonotonic Energy Dissipation in Micromechanical Resonators; American Physical Society; Physical Review X; 12; 4; 12-2022; 1-18
dc.identifier.issn
2160-3308
dc.identifier.uri
http://hdl.handle.net/11336/208679
dc.description.abstract
Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich dynamical behavior, such as time-varying relaxation rates and signatures of nonergodicity in thermal equilibrium, revealed in the recent experimental and theoretical studies of micro-and nanomechanical resonators. However, a universal yet intuitive physical description for these diverse and sometimes contradictory experimental observations remains elusive. Here we experimentally reveal persistent nonlinear phase-locked states occurring at internal resonances and demonstrate that they are essential for understanding the transient dynamics of nonlinear systems with coupled eigenmodes. The measured dynamics of a fully observable micromechanical resonator system are quantitatively described by the lower-frequency mode entering, maintaining, and exiting a persistent phase-locked period-Tripling state generated by the nonlinear driving force exerted by the higher-frequency mode. This model describes the observed phase-locked coherence times, the direction and magnitude of the energy exchange, and the resulting nonmonotonic mode energy evolution. Depending on the initial relative phase, the system selects distinct relaxation pathways, either entering or bypassing the locked state. The described persistent phase locking is not limited to particular frequency fractions or types of nonlinearities and may advance nonlinear resonator systems engineering across physical domains, including photonics as well as nanomechanics.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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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 Dynamics
dc.subject
MEMS resonators
dc.subject
Mechanics
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
Persistent Nonlinear Phase-Locking and Nonmonotonic Energy Dissipation in Micromechanical Resonators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-10T11:12:26Z
dc.journal.volume
12
dc.journal.number
4
dc.journal.pagination
1-18
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Wang, Mingkang. University of Maryland; Estados Unidos
dc.description.fil
Fil: Perez, Diego Javier. University of Maryland; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche | Comisión Nacional de Energía Atómica. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche; Argentina
dc.description.fil
Fil: Lopez, Daniel. State University of Pennsylvania; Estados Unidos
dc.description.fil
Fil: Aksyuk, Vladimir A.. National Institute Of Standards And Technology; Estados Unidos
dc.journal.title
Physical Review X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevX.12.041025
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevX.12.041025
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