On two-dimensional Hamiltonian systems with sixth-order integrals of motion

DOI10.1016/j.cnsns.2022.106404OpenAlexW3210481784WikidataQ114196465 ScholiaQ114196465MaRDI QIDQ2137207

E. O. Porubov, Andreĭ Vladimirovich Tsyganov

Publication date: 16 May 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12860

zbMATH Keywords

integrable systemssextic invariants

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)

Related Items (1)

Painlevé analysis, Prelle–Singer approach, symmetries and integrability of damped Hénon–Heiles system

Cites Work

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• Discretization and superintegrability all rolled into one
• Superintegrable systems and Riemann-Roch theorem
• New bi-Hamiltonian systems on the plane
• Two-dimensional geodesic flows having first integrals of higher degree

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