A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
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Publication:1594578
DOI10.1016/0375-9601(89)90768-8zbMath0957.70501OpenAlexW1969737216MaRDI QIDQ1594578
Publication date: 26 March 2001
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(89)90768-8
Hamilton's equations (70H05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
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Cites Work
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Non-integrability of the truncated Toda lattice Hamiltonian at any order
- Necessary condition for the existence of algebraic first integrals
