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A necessary condition for the integrability of homogeneous Hamiltonian systems with two degrees of freedom

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Publication:2716881
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DOI10.1088/0305-4470/34/11/307zbMath1054.37037OpenAlexW1978625993MaRDI QIDQ2716881

Katsuya Nakagawa, Haruo Yoshida

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/11/307


Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)


Related Items

Note on integrability of certain homogeneous Hamiltonian systems, Integrability of Hamiltonian systems and differential Galois groups of higher variational equations, Homological equations for tensor fields and periodic averaging, Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems



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