Karng, SW Kim, KY Kwak, HY 2024-01-21T04:10:17Z 2024-01-21T04:10:17Z 2021-09-03 2005-10-06 0022-460X https://pubs.kist.re.kr/handle/201004/136055 The lagging motion of nonlinear oscillators with respect to the externally driven field, which has never been discussed previously, was treated analytically and the calculation results were compared with the observed results. Such lagging motion may occur in nonlinear systems whose behavior crucially depends on the frequency of the applied force. The lagging motion of the nonlinear oscillator with respect to the harmonically driven field made the oscillator respond in a way that reduced the effect of the applied field. The calculation considering the lagging motion yielded proper results in the expansion ratio and trajectories in phase plane for the oscillating bubble under ultrasound and the frequency spectrum for a forced inverted pendulum. (c) 2004 Elsevier Ltd. All rights reserved. English ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD BUBBLE SONOLUMINESCENCE BIFURCATION DYNAMICS Lagging motion of forced nonlinear oscillators Article 10.1016/j.jsv.2004.10.034 1 JOURNAL OF SOUND AND VIBRATION, v.287, no.1-2, pp.117 - 128 JOURNAL OF SOUND AND VIBRATION 287 1-2 117 128 scie scopus 000231323900006 2-s2.0-22344445890 Acoustics Engineering, Mechanical Mechanics Acoustics Engineering Mechanics Article BUBBLE SONOLUMINESCENCE BIFURCATION DYNAMICS Lagging motion Relaxation time Trajectories Pointcare map a forced inverted pendulum