Summary
New light is cast on the generalized Hamilton-Jacobi method for nonholonomic dynamical systems of Chetaev's type. As opposed to the method characterized by the introduction of unknown multipliers, the method presented here proceeds using independent variations and is illustrated by Appell's example.
Résumé
Des nouveaux résultats sont obtenus sur la méthode généralisée de Hamilton-Jacobi pour des systèmes dynamiques non-holonomes du type de Chetaev. Contrairement à la méthode caracterisée par l'introduction de multiplicateurs inconnus, la méthode présentée utilise des variations indépendantes et est illustrée par l'exemple d'Appell.
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References
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Van Dooren, R. Second form of the generalized Hamilton-Jacobi method for nonholonomic dynamical systems. Journal of Applied Mathematics and Physics (ZAMP) 29, 828–834 (1978). https://doi.org/10.1007/BF01589294
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DOI: https://doi.org/10.1007/BF01589294