Experimental observation of the bifurcation dynamics of an intrinsic localized mode in a driven 1D nonlinear lattice

Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state softens in frequency and its amplitude grows as the upper frequen...

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Published inPhysical review letters Vol. 107; no. 23; p. 234101
Main Authors Sato, M, Imai, S, Fujita, N, Nishimura, S, Takao, Y, Sada, Y, Hubbard, B E, Ilic, B, Sievers, A J
Format Journal Article
LanguageEnglish
Published United States 30.11.2011
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Summary:Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state softens in frequency and its amplitude grows as the upper frequency bifurcation point is approached, similar to the soft-mode kinetic transition for a single driven Duffing resonator. A lower frequency bifurcation point occurs when the four-wave-mixing partner of this same phase mode intercepts the top of the extended wave branch, initiating a second kinetic transition process.
ISSN:1079-7114
DOI:10.1103/physrevlett.107.234101