Geodesic
Modeling of a nonlinear oscillator with collisions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 25-33

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In present work the equation of the oscillator with collisions, which is described under the Hertz contact theory is solved numerically. The computational experiment showed that on the overall oscillations, excited by an external force, are imposed the damped oscillations at a higher frequency, which correspond to elastic collisions of the oscillator. Wavelet transform of the numerical solution of oscillator equation and the experimental results obtained with the measuring stand was performed. Wavelet analysis of complex acoustic signals allows to detect small-scale features that are important for the interpretation of the experiment.
Keywords: mathematical modeling, nonlinear oscillator, numerical solution of differential equations, wavelet analysis. 
@article{VSGU_2018_24_1_a3,
     author = {V. V. Narozhnov},
     title = {Modeling of a nonlinear oscillator with collisions},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {25--33},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a3/}
}
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V. V. Narozhnov. Modeling of a nonlinear oscillator with collisions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 25-33. http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a3/