Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree \(k\)

DOI10.1016/j.physleta.2016.09.033zbMath1366.37134OpenAlexW2525720064MaRDI QIDQ2362639

Claudia Valls, Regilene D. S. Oliveira

Publication date: 11 July 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2016.09.033

zbMATH Keywords

polynomial integrabilityHamiltonian systems with 2-degrees of freedomhomogeneous potentials of degree \(k\)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Cites Work

• Unnamed Item
• Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree - 2
• Partial integrability of Hamiltonian systems with homogeneous potential
• Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree --3
• A theory of exact and approximate configurational invariants
• Darboux points and integrability analysis of Hamiltonian systems with homogeneous rational potentials
• All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4

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