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New non-standard Lagrangians for the Liénard-type equations - MaRDI portal

New non-standard Lagrangians for the Liénard-type equations (Q311771)

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scientific article; zbMATH DE number 6626888
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New non-standard Lagrangians for the Liénard-type equations
scientific article; zbMATH DE number 6626888

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    New non-standard Lagrangians for the Liénard-type equations (English)
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    13 September 2016
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    In the paper under review, the authors obtain non-standard Lagrangians for some Liénard-type equations. For the proof, the authors use generalized Sundman transformations to transform the equations into either damped harmonic oscillator or of the Painlevé-Gambiér type, which admits non-standard Lagrangians.
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    Liénard-type equations
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    Lagrangian
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    generalized Sundman transformations
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