Energy method for approximate periodic solution of strongly nonlinear nonautonomous systems (Q1962848)
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scientific article; zbMATH DE number 1396393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy method for approximate periodic solution of strongly nonlinear nonautonomous systems |
scientific article; zbMATH DE number 1396393 |
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Energy method for approximate periodic solution of strongly nonlinear nonautonomous systems (English)
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26 November 2002
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The author develops an energy method to obtain necessary and sufficient conditions for the existence and stability of periodic solutions to equations of the form \[ x''+f(x,x',\Omega t)+g(x)=0, \] where \(f\) is periodic with respect to \(t\). The method allows one to get approximate expressions of the solutions. The results are illustrated by numerical experiments.
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periodic solutions
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asymptotic stability
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