Non-integrable character of Hamiltonian systems with global and symmetric coupling
From MaRDI portal
Publication:1346872
DOI10.1016/0167-2789(94)00217-EzbMath0888.58012OpenAlexW2059056963MaRDI QIDQ1346872
Publication date: 27 March 1995
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(94)00217-e
Geometric methods in ordinary differential equations (34A26) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
Related Items
Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis, Weak-Painlevé property and integrability of general dynamical systems, Non-integrability of Gross-Neveu systems, Non-integrability of a class of Hamiltonian systems
Cites Work
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- Non-integrability of Hénon-Heiles system and a theorem of Ziglin
- On the non-integrability of Gross-Neveu models
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Chaos in classical and quantum mechanics
- A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
- Galois extensions in Kowalevski exponents and nonintegrability of nonlinear lattices
- Integrability and non-integrability in Hamiltonian mechanics
- A type of second order linear ordinary differential equations with periodic coefficients for which the characteristic exponents have exact expressions
- Unnamed Item
- Unnamed Item
- Unnamed Item