Group analysis of non-autonomous linear Hamiltonians through differential Galois theory

DOI10.1134/S1995080210020071zbMath1287.37037arXiv1003.0500OpenAlexW1969730740MaRDI QIDQ694342

M. C. Fu

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0500

zbMATH Keywords

integrabilityHamiltonian systemsdifferential Galois theory

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) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Non-integrability of a class of Painlevé IV equations as Hamiltonian systems

Cites Work

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• Dynamics of Rational Symplectic Mappings and Difference Galois Theory
• Nonautonomous Hamiltonian Systems and Morales–Ramis Theory I. The Case $\ddot{x}=f(x,t)$
• Group-theoretic obstructions to integrability
• A list of all integrable two-dimensional homogeneous polynomial potentials with a polynomial integral of order at most four in the momenta
• Algebraic proof of the non-integrability of Hill's problem
• Differential Galois theory and non-integrability of Hamiltonian systems

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