scientific article; zbMATH DE number 1969553

zbMath1050.37028MaRDI QIDQ4422843

Michèle Audin

Publication date: 24 August 2003

Full work available at URL: http://www.numdam.org/item?id=SB_2000-2001__43__113_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symplectic geometryintegrable systemsHamiltonian systemsHénon-Heiles systemdifferential Galois theorynonintegrability criteria

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (4)

Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Differential Galois obstructions for non-commutative integrability ⋮ Examples of nonintegrable Hamiltonians in real analytic mechanics ⋮ Symplectic reduction applied to the non-integrability of the satellite problem

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