Non-integrable Hamiltonian systems and the Heun equation

DOI10.1016/0393-0440(93)90016-8zbMath0779.58016OpenAlexW1998124567MaRDI QIDQ1801605

Maylis Irigoyen, Jean-Pierre Françoise

Publication date: 18 January 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)90016-8

zbMATH Keywords

non-integrable Hamiltonian systemsHeun equation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (4)

Non-integrability in Hamiltonian mechanics ⋮ Nonintegrability of Bianchi VIII Hamiltonian system ⋮ A non-integrability test for perturbed separable planar Hamiltonians ⋮ Numerical evidence of nonintegrability of certain Lie-Poisson system

Cites Work

• Matrix analogues of elliptic functions
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Non-integrability of Hénon-Heiles system and a theorem of Ziglin
• Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• Three integrable Hamiltonian systems connected with isospectral deformations
• Matrix-second order differential equations and chaotic Hamiltonian systems
• Picard-Vessiot theory and Ziglin's theorem
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