Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B3L-A

Session:

Number:407

Bifurcation Dynamics of an Intrinsic Localized Mode in a Driven 1-D Nonlinear Lattice

M. Sato,  Y. Takao,  Y. Sada,  W. Shi,  S. Shige,  A. J. Sievers,  

pp.407-410

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.407

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Summary:
The experimental linear response spectrum of an auto-resonant (AR) intrinsic localized mode (ILM) in a driven 1-D cantilever array is composed of several resonances including a phase mode of the AR-ILM. This AR state is stable in a finite frequency range between the upper and lower bifurcation frequencies. Here we examine the robustness of the lower frequency point to lattice perturbations. In the intrinsic state the even linear localized mode (LLM) crosses the phase mode and the transition occurs when the phase mode intersects the odd symmetry band mode. When an impurity mode is introduced into the lattice near the even LLM it interacts with the phase mode, and the lower bifurcation frequency of the ILM is now shifted to the point where these two linear modes coalesce.

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