Coalescence of singularities and Ziglin's approach to nonintegrability

DOI10.1016/0375-9601(95)00023-VzbMath1020.34504OpenAlexW2005056394MaRDI QIDQ5917983

Alfred Ramani, Basile Grammaticos, V. Ravoson

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00023-v

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05)

Cites Work

• Non-integrability of Hénon-Heiles system and a theorem of Ziglin
• Non-integrability of the fourth-order truncated Toda Hamiltonian
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• On the non-integrability of some generalized Toda lattices
• Hamiltonians with high-order integrals and the ‘‘weak-Painlevé’’ concept
• On the Determination of Ziglin Monodromy Groups
• Complexity in spatio-temporal dynamics

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