A list of all integrable two-dimensional homogeneous polynomial potentials with a polynomial integral of order at most four in the momenta

DOI10.1088/0305-4470/34/41/316zbMath1001.37048arXivnlin/0108051OpenAlexW1964833670MaRDI QIDQ4533495

Katsuya Nakagawa, Haruo Yoshida

Publication date: 11 June 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0108051

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonlinear dynamics in mechanics (70K99) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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