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
PDF download (381.2KB)
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.