Non-integrability of a self-gravitating Riemann liquid ellipsoid
DOI10.1134/S1560354713050031zbMath1417.37195arXiv1202.1771MaRDI QIDQ2449282
Publication date: 7 May 2014
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.1771
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) Algebraic geometry methods for problems in mechanics (70G55) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Related Items (2)
Cites Work
- Unnamed Item
- Galoisian obstructions to non-Hamiltonian integrability
- On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a homogeneous liquid ellipsoid
- The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids
- An algorithm for solving second order linear homogeneous differential equations
- Extended integrability and bi-Hamiltonian systems
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- Non-integrability of the generalized two fixed centres problem
- A note on algebraic potentials and Morales-Ramis theory
- Non-integrability of the equal mass \(n\)-body problem with non-zero angular momentum
- Differential Galois theory and non-integrability of Hamiltonian systems
This page was built for publication: Non-integrability of a self-gravitating Riemann liquid ellipsoid
