Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:19PM1-A
Session:
Number:19PM1-A-3
A Numerical Study on Invariant Manifold Related to Transition of Intrinsic Localized Mode in Coupled Cantilever Array
Masayuki Kimura, Takashi Hikihara,
pp.477-480
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.19PM1-A-3
Summary:
Intrinsic localized mode (ILM) is spatially localized and temporally periodic oscillation in nonlinear coupled oscillators. Recently, ILM has been observed in a micro-cantilever array by Sato et al. We deal with the dynamical properties of ILM in a homogeneous cantilever array with fixed boundaries. The coexistence and the stability of ILMs are investigated. The stability of ILM is changed with the nonlinear inter-site potential when the nonlinear on-site potential is fixed. The ILMs can exchange their stability between stable mode and unstable mode depending on the nonlinear inter-site potential. The transition is discussed based on the invariant manifold related to an unstable ILM. It is clarified that localized oscillations due to a stable ILM can shift their position via the stability change of ILM.