Meromorphic nonintegrability of Hamiltonian systems
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Publication:696331
DOI10.1016/S0034-4877(01)80078-1zbMath1019.37034OpenAlexW2029010899MaRDI QIDQ696331
Publication date: 12 September 2002
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80078-1
Hamiltonian systemsvariational equationsHénon-Heiles systemnonintegrabilityLiouville integrabilityPicard-Vessiot theorytheorem of Ziglin
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)
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- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems
- Differential function fields and moduli of algebraic varieties
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- On a class of variational equations transformable to the Gauss hypergeometric equation
- Picard-Vessiot theory and Ziglin's theorem
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential
- Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations
- On the nonintegrability of the Stark-Zeeman Hamiltonian system
- Stable and Random Motions in Dynamical Systems
- Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
- Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
- Exponential instability of collision orbit in the anisotropic Kepler problem
- On the Determination of Ziglin Monodromy Groups
- Un résultat de non-intégrabilité pour le potentiel en 1/r2
- Group-theoretic obstructions to integrability
- A conjecture in the arithmetic theory of differential equations
- QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
- Differential Galois theory and non-integrability of Hamiltonian systems
- Non-integrability of the motion of a particle around a massive straight segment
- Kovalevskaya, Lyapunov, Painlevé, Ziglin and the differential Galois theory
