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Experimental observation of the bifurcation dynamics of an intrinsic localized mode in a driven 1D nonlinear lattice
1Graduate School of Natural Science and Technology, Kanazawa University, Ishikawa 920-1192, Japan.
Abstract:
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.
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