Integrability of Hamiltonians with polynomial potentials
From MaRDI portal
Publication:1408411
DOI10.1016/S0377-0427(03)00467-9zbMath1025.37035OpenAlexW1977474823MaRDI QIDQ1408411
M. I. Vigo-Aguiar, José Manuel Ferrándiz, Maria-Eugenia Sansaturio
Publication date: 15 September 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00467-9
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Two-body problems (70F05)
Related Items
Non-integrability of some few body problems in two degrees of freedom ⋮ On some polynomial potentials in d-dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Galoisian obstructions to integrability of Hamiltonian systems. II.
- 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
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Non-integrability in Hamiltonian mechanics
- Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations
- Non-existence of rational integrals in the \(J_{22}\)-problem
- Nonintegrability of the truncated zonal satellite Hamiltonian at any order.
- Stochasticity in Yang–Mills theory
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
- Non-integrability of some Hamiltonian systems in polar coordinates