Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:C2L-D
Session:
Number:C2L-D-5
Existence Condition and Stability of Rotating Intrinsic Localized Modes in FPU-$\beta$ Chain with Fixed Boundaries
Atsuki Mitani, Masayuki Kimura, Shinji Doi,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
In nonlinear lattices, it is known that there exist a spatially localized and temporary pe- riodic solution, namely intrinsic localized modes (ILMs). In this report, ILMs of rotating type in one- dimensional Fermi-Pasta-Ulam (FPU) chain placed in three-dimensional space are focused on. It is revealed that a rotating ILM disappears through bifurcations with respect to the rotation period under a state of initial extension of the chain. Existence region of the rotating ILM is investigated in a two-dimensional pa- rameter space consisting of the period of ILM and the initial extension of the chain. In addition, stability is evaluated for the ILMs in the region. As a result, we found wide region in which rotating ILM is stable.