Second-Order Averaging of Forced and Coupled Nonlinear Oscillators

Clark Robinson

doi:10.1109/TCS.1983.1085394

Second-Order Averaging of Forced and Coupled Nonlinear Oscillators

Clark Robinson^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The classical method of averaging is introduced through a sequence of examples. Various qualitative methods such as normally hyperbolic manifolds and energy methods are used to analyze the averaged equations in such a way that the properties are shown to persist for the actual system of differential equations.

Original language	English (US)
Pages (from-to)	591-598
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems
Volume	30
Issue number	8
DOIs	https://doi.org/10.1109/TCS.1983.1085394
State	Published - Aug 1983

ASJC Scopus subject areas

Engineering(all)

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abstract = "The classical method of averaging is introduced through a sequence of examples. Various qualitative methods such as normally hyperbolic manifolds and energy methods are used to analyze the averaged equations in such a way that the properties are shown to persist for the actual system of differential equations.",

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Second-Order Averaging of Forced and Coupled Nonlinear Oscillators

Abstract

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