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Non-linear time series models for non-linear random vibrations

Published online by Cambridge University Press:  14 July 2016

T. Ozaki
T. Ozaki*
Affiliation:
Institute of Statistical Mathematics, Tokyo
*
∗Postal address: Institute of Statistical Mathematics, 4–6–7 Minami-Azabu, Minato-Ku, Tokyo, Japan.
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Abstract

Non-linear time series models for non-linear vibrations are presented. Some typical behaviour of non-linear vibrations generated from Duffing's equation or van der Pol's equation are explained through the models.

Keywords

NON-LINEAR TIME SERIESNON-LINEAR VIBRATIONSDUFFING'S EQUATIONVAN DER POL EQUATIONAMPLITUDE-DEPENDENT FREQUENCYJUMP PHENOMENALIMIT CYCLE
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 84 - 93
Copyright
Copyright © Applied Probability Trust 1980 

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Footnotes

This work was supported in part by the U.K. Science Research Council at the University of Manchester Institute of Science and Technology, and in part by a grant from the Ministry of Education, Culture and Science, Japan, at the Institute of Statistical Mathematics, Tokyo.

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