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A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities - MaRDI portal

A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities (Q1329858)

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scientific article; zbMATH DE number 612470
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English
A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities
scientific article; zbMATH DE number 612470

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    A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities (English)
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    24 April 1995
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    The author discretizes a nonlinear partial differential equation and solves it by a perturbation technique. He notes that the process leads to inaccurate results in the case of the quadratic and cubic nonlinearities. He then proposes theories of a general nature that, perhaps for a general nonlinear system, should be softened.
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    nonlinear partial differential equation
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    perturbation technique
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