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Completely integrable 2D Lagrangian systems and related integrable geodesic flows on various manifolds

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Publication:2847978
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DOI10.1088/1751-8113/46/32/325203zbMath1304.37041OpenAlexW2092321952MaRDI QIDQ2847978

H. M. Yehia

Publication date: 25 September 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/46/32/325203

zbMATH Keywords

integrable geodesic flowsintegrable two-dimensional systems


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesics in global differential geometry (53C22) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)


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Integrable 2D time-irreversible systems with a cubic second integral, Integrable cosmological potentials, New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals



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