Galoisian obstructions to integrability of Hamiltonian systems. II.
From MaRDI portal
Publication:701553
DOI10.4310/MAA.2001.v8.n1.a4zbMath1140.37354MaRDI QIDQ701553
Jean Pierre Ramis, Juan J. Morales-Ruiz
Publication date: 6 November 2002
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
Ordinary differential equations in the complex domain (34M99) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
Related Items
Non-integrability of the equal mass \(n\)-body problem with non-zero angular momentum, Chaos around holographic Regge trajectories, Non-integrability of the minimum-time Kepler problem, Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems, Anisotropic Kepler and anisotropic two fixed centres problems, Analytic integrability of Hamiltonian systems with exceptional potentials, Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems, Galoisian obstructions to non-Hamiltonian integrability, Some questions looking for answers in dynamical systems, Integrability of Hamiltonian systems and differential Galois groups of higher variational equations, Liouville integrability: an effective Morales-Ramis-Simó theorem, Geometric hydrodynamics in open problems, Regular and irregular geodesics on spherical harmonic surfaces, Analytic integrability of Bianchi class A cosmological models with \(k=1\), Application of the Kovacic algorithm for the investigation of motion of a heavy rigid body with a fixed point in the Hess case, Integrability of Hamiltonians with polynomial potentials, Non-integrability of geodesic flow on certain algebraic surfaces, Nonintegrability of the Armbruster--Guckenheimer--Kim Quartic Hamiltonian Through Morales--Ramis Theory, Differential Galois obstructions for non-commutative integrability, Non-integrability of some few body problems in two degrees of freedom, Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom, Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples, Measuring the total amount of chaos in some Hamiltonian systems, A differential Galois approach to path integrals, Integrable planar homogeneous potentials of degree \(- 1\) with small eigenvalues, Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature *, Galoisian methods for testing irreducibility of order two nonlinear differential equations, Morales-Ramis theorems via Malgrange pseudogroup, Group analysis of non-autonomous linear Hamiltonians through differential Galois theory, Differential Galois approach to the non-integrability of the heavy top problem, Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flows of dimension \(3\), A non-integrability test for perturbed separable planar Hamiltonians, Integrability of Hamiltonian systems with homogeneous potentials of degree zero, On the integrability of a three-dimensional cored galactic Hamiltonian, Differential Galois Theory and Integration