Perturbation theory for critically damped nonlinear systems (Q1864536)

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scientific article; zbMATH DE number 1884061
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Perturbation theory for critically damped nonlinear systems
scientific article; zbMATH DE number 1884061

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    Perturbation theory for critically damped nonlinear systems (English)
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    18 March 2003
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    The asymptotic solution to the nonlinear differential equation \[ \ddot x+ 2k\dot x+ k^2\alpha= \varepsilon f(x,\dot x) \] is constructed and compared with the numerical solution.
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    nonoscillation
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    asymptotic expansion
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    critical damping
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