Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4

DOI10.1063/1.3544473zbMath1314.37040OpenAlexW1981474464MaRDI QIDQ5256176

Claudia Valls, Jaume Llibre, Adam Mahdi

Publication date: 22 June 2015

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

Full work available at URL: http://ddd.uab.cat/record/150461

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) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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Cites Work

• A theory of exact and approximate configurational invariants
• All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
• Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• Differential Galois theory and non-integrability of Hamiltonian systems
• Unnamed Item