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Descripción
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| We give a new characterization of the inverse problem of the calculus of variations that is easily extended to constrained systems, both in the autonomous and non-autonomous cases. The transition from unconstrained to constrained systems is given by passing from Lagrangian submanifolds to isotropic ones. If the constrained system is variational we use symplectic techniques to extend these isotropic submanifolds to Lagrangian ones and describe the solutions of the constrained system as solutions of a variational problem without constraints. Mechanical examples such as the rolling disk are provided to illustrate the main results. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Journal of Physics a: Mathematical And Theoretical |
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ISSN
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1751-8113 |
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Factor de impacto JCR
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1,933 |
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Información de impacto
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Factor de impacto de 2015. |
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Volumen
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48 |
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DOI
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10.1088/1751-8113/48/4/045210 |
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Número de revista
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Desde la página
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045210 |
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Hasta la página
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045245 |
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Mes
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SIN MES |
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Ranking
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