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On the integrability of the Hamilton-Jacobi equation in generalized coordinates

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Publication:1836487
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DOI10.1016/0021-8928(82)90075-2zbMath0505.70022OpenAlexW2084784478MaRDI QIDQ1836487

A. S. Sumbatov

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90075-2


zbMATH Keywords

two degrees of freedomintegrabilitycyclic coordinatesirreversible systemsfirst and second Beltrami operatorskinetic energy form coefficients define two-dimensional Riemannian metric with Gaussian curvatureseparable coordinates


Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20)


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On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum



Cites Work

  • Sur la séparation des variables dans l'équation aux dérivées partielles de Hamilton-Jacobi
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