Bispectral analyses of interactions in quadratically and cubically coupled oscillators (Q1373229)

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scientific article; zbMATH DE number 1089226
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Bispectral analyses of interactions in quadratically and cubically coupled oscillators
scientific article; zbMATH DE number 1089226

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    Bispectral analyses of interactions in quadratically and cubically coupled oscillators (English)
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    23 March 1998
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    We consider a set of quadratically and cubically coupled oscillators, and, in the presence of a one-to-one internal resonance and an external resonance, we derive analytical approximations for bispectra associated with certain nonlinear motions, and show the dependence of the bispectra on the nonlinearities. Results of numerical simulations are also included.
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    oscillations of shallow arch
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    one-to-one internal resonance
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    external resonance
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    numerical simulations
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