Non-integrability of a class of Hamiltonian systems
From MaRDI portal
Publication:2851784
DOI10.1063/1.3659284zbMath1272.70074OpenAlexW1974983704MaRDI QIDQ2851784
Bing Liu, Shaoyun Shi, Wenlei Li
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3659284
Hamilton's equations (70H05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)
Related Items (2)
Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems ⋮ Meromorphic and formal first integrals for the Lorenz system
Cites Work
- Unnamed Item
- Non-integrability of Hénon-Heiles system
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Partial integrability of Hamiltonian systems with homogeneous potential
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- Non-integrability of the truncated Toda lattice Hamiltonian at any order
- Picard-Vessiot theory and Ziglin's theorem
- Non-integrable character of Hamiltonian systems with global and symmetric coupling
- A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
- Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations
- Non-existence of rational integrals in the \(J_{22}\)-problem
- Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
- The Toda lattice. II. Existence of integrals
- Algebraic proof of the non-integrability of Hill's problem
- Differential Galois theory and non-integrability of Hamiltonian systems
This page was built for publication: Non-integrability of a class of Hamiltonian systems
