Singularity analysis of a generalised Lagrange system

DOI10.1016/J.CHAOS.2020.110100zbMath1495.37049OpenAlexW3042963380MaRDI QIDQ2123580

Alfred Ramani, Basile Grammaticos

Publication date: 14 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110100

zbMATH Keywords

integrabilityHamiltonian systemmeromorphic solutionssingularity analysis

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Cites Work

• Integrable problems of celestial mechanics in spaces of constant curvature.
• Non-integrability of generalised Charlier and Saint-Germain problem
• Explicit integrability for Hamiltonian systems and the Painlevé conjecture
• Differential Galois theory and non-integrability of Hamiltonian systems
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