The integrability of positively definite Lagrangian systems via variational criterion: mechanical systems

DOI10.1016/j.jde.2010.06.016zbMath1207.37044OpenAlexW2038381494MaRDI QIDQ1958443

Wei Cheng

Publication date: 29 September 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.016

zbMATH Keywords

integrabilityMather theoryTonelli Lagrangian\(\alpha\)-function

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

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Generalized Maupertuis' principle with applications

Cites Work

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