Integrable deformations of integrable Hamiltonian systems

DOI10.1016/j.physleta.2011.10.031zbMath1255.70016OpenAlexW2025082660WikidataQ104404777 ScholiaQ104404777MaRDI QIDQ1933042

Maria Przybylska, Andrzej J. Maciejewski

Publication date: 22 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.10.031

zbMATH Keywords

integrabilitynon-integrabilitydifferential Galois theoryHamilton systemsdifferential Galois integrability obstructions

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (1)

Picard-Vessiot theory and integrability

Cites Work

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• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• Galois groups of second and third order linear differential equations
• A note on the non-integrability of some Hamiltonian systems with a homogeneous potential.
• Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
• All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
• Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
• Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4
• Differential Galois theory and non-integrability of Hamiltonian systems

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