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Damped-driven granular chains: an ideal playground for dark breathers and multibreathers

Author(s): Chong, C; Li, F; Yang, J; Williams, MO; Kevrekidis, Yannis G.; et al

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dc.contributor.authorChong, C-
dc.contributor.authorLi, F-
dc.contributor.authorYang, J-
dc.contributor.authorWilliams, MO-
dc.contributor.authorKevrekidis, Yannis G.-
dc.contributor.authorKevrekidis, PG-
dc.contributor.authorDaraio, C-
dc.date.accessioned2021-10-08T19:58:25Z-
dc.date.available2021-10-08T19:58:25Z-
dc.date.issued2014-03-31en_US
dc.identifier.citationChong, C, Li, F, Yang, J, Williams, MO, Kevrekidis, IG, Kevrekidis, PG, Daraio, C. (2014). Damped-driven granular chains: an ideal playground for dark breathers and multibreathers.. Physical review. E, Statistical, nonlinear, and soft matter physics, 89 (3), 032924-1 - 032924-10. doi:10.1103/physreve.89.032924en_US
dc.identifier.issn1539-3755-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1k85p-
dc.description.abstractBy applying an out-of-phase actuation at the boundaries of a uniform chain of granular particles, we demonstrate experimentally that time-periodic and spatially localized structures with a nonzero background (so-called dark breathers) emerge for a wide range of parameter values and initial conditions. We demonstrate a remarkable control over the number of breathers within the multibreather pattern that can be "dialed in" by varying the frequency or amplitude of the actuation. The values of the frequency (or amplitude) where the transition between different multibreather states occurs are predicted accurately by the proposed theoretical model, which is numerically shown to support exact dark breather and multibreather solutions. Moreover, we visualize detailed temporal and spatial profiles of breathers and, especially, of multibreathers using a full-field probing technology and enable a systematic favorable comparison among theory, computation, and experiments. A detailed bifurcation analysis reveals that the dark and multibreather families are connected in a "snaking" pattern, providing a roadmap for the identification of such fundamental states and their bistability in the laboratory.en_US
dc.format.extent032924-1 - 032924-10en_US
dc.languageengen_US
dc.language.isoen_USen_US
dc.relation.ispartofPhysical review. E, Statistical, nonlinear, and soft matter physicsen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleDamped-driven granular chains: an ideal playground for dark breathers and multibreathersen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/physreve.89.032924-
dc.identifier.eissn1550-2376-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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