Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:A1L-A

Session:

Number:A1L-A2

Nonlinear oscillations in two coupled elastic beams with tunable nonlinear potentials

Masayuki Kimura,  Takashi Hikihara,  

pp.5-8

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.A1L-A2

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Summary:
Spatially localized and temporally periodic solutions exist in a nonlinear coupled oscillator arrays. Because the energy of the solution is localized within a few sites, localized solutions exist even in a two-degree-offreedom system. In this paper, bifurcations regarding the localized solutions are investigated by using the simple averaging method. Bifurcation sets are derived analytically and it is confirmed numerically.