期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 11, 期 5, 页码 4312-4325出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.04.003
关键词
Periodic solutions; Periodic forcing; Nonlinear response
We investigate the response of a piecewise linear spring to very low frequency forcing. It has been observed that the bifurcation picture is very complicated with many multiple periodic responses with a high frequency component. We show many new aspects of this phenomenon, including what happens if the nonlinearity is smoothed out. Methods used include Newton's method, in combination with continuation algorithms, and a steepest descent method for finding new isolated branches of solutions. (C) 2010 Elsevier Ltd. All rights reserved.
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