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

Journal of Applied Probability, 1980
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.
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Non-linear threshold autoregressive models for non-linear random vibrations

Journal of Applied Probability, 1981
Time series models for non-linear random vibrations are discussed from the viewpoint of the specification of the dynamics of the damping and restoring force of vibrations, and a non-linear threshold autoregressive model is introduced. Typical non-linear phenomena of vibrations are demonstrated using the models.
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Non-linear Stability Models

2010
The linear theory of morphological stability, as shown in Chapter 10, predicts neither the explicit form nor the evolution dynamics of an unstable solid–liquid interface. Instead, linear theory predicts only the system’s initial unstable behavior—viz., evolution through exponential growth or decay—of a single-mode interface perturbation in the form of ...
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Non-linear Modelling

1994
Y Crosnier, G Salmer
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Non-Linear Models

2019
Chris Chatfield, Haipeng Xing
openaire   +1 more source

Reduced-order modelling based on non-linear modes

International Journal of Mechanical Sciences, 2022
Paulo Batista Gonçalves   +1 more
exaly  

Non-linear models

1983
R. Mead, R. N. Curnow
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Complex non-linear models

2020
Radan Martinec, Theo van Leeuwen
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Non-linear spatial models

2021
Giuseppe Arbia   +2 more
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