DETECTING PARAMETER CHANGES USING EXPERIMENTAL NONLINEAR DYNAMICS ANDCHAOS

Citation
Rs. Chancellor et al., DETECTING PARAMETER CHANGES USING EXPERIMENTAL NONLINEAR DYNAMICS ANDCHAOS, Journal of vibration and acoustics, 118(3), 1996, pp. 375-383
Citations number
22
Categorie Soggetti
Engineering, Mechanical",Acoustics
ISSN journal
10489002
Volume
118
Issue
3
Year of publication
1996
Pages
375 - 383
Database
ISI
SICI code
1048-9002(1996)118:3<375:DPCUEN>2.0.ZU;2-0
Abstract
A method of detecting parameter changes using analytical and experimen tal nonlinear dynamics and chaos is applied to a piecewise-linear osci llator. Experimental data show the chaotic nature of the system throug h phase portraits, Poincare maps, frequency spectra and bifurcation di agrams. Unstable periodic orbits were extracted from each chaotic time series obtained from the system with sir different parameter values. Movement of the unstable periodic orbits in phase space is used to det ect parameter changes in the system.