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Dynamics of a nonlinear oscillator and a low-amplitude frequency-modulated wave

✍ Scribed by R.C White; B McNamara

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
852 KB
Volume
173
Category
Article
ISSN
0003-4916

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✦ Synopsis

When the frequency of a small amplitude plane wave is varied slowly over a large enough bandwidth and this wave is incident upon a nonlinear oscillator, the resulting perturbed motion can exhibit stochastic behavior.

Applications for the study of this system are wide and varied. We apply Lie-transform perturbation theory and mapping techniques in the analysis of the stochastic transition and the consequent induced diffusion in the oscillator phase space. A constant of the motion to the first order in a perturbation parameter is calculated, a mapping approximation is derived. and diffusion calculations from the mapping are given.

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