A variational criterion for nonintegrability (Q1267434)
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scientific article; zbMATH DE number 1208167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational criterion for nonintegrability |
scientific article; zbMATH DE number 1208167 |
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A variational criterion for nonintegrability (English)
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29 November 1998
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The authors use existence results obtained by variational methods to prove the nonintegrability of an analytic Lagrangian system with two degrees of freedom whose configuration space is a torus or a cylinder. As an application, the nonintegrability of a double pendulum in a certain domain of parameters is proved and possible applications to systems with singularities is discussed.
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Lagrangian systems
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nonintegrable systems
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variational methods
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