Non-integrability of the fourth-order truncated Toda Hamiltonian
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Publication:1110148
DOI10.1016/0167-2789(88)90103-0zbMath0656.58014OpenAlexW2068820785MaRDI QIDQ1110148
Alfred Ramani, Basile Grammaticos, Haruo Yoshida
Publication date: 1988
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(88)90103-0
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonlinear dynamics in mechanics (70K99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton's principle (70H25)
Related Items
The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, Non-integrability of the truncated Toda lattice Hamiltonian at any order, Intrinsic localized modes in a three particle Fermi-Pasta-Ulam lattice with on-site harmonic potential, Orbital behaviour transition from the Henon-Heiles to the three-particle Toda lattice Hamiltonian, The Lissajous transformation. III: Parametric bifurcations, Signs and approximate magnitudes of Lyapunov exponents in continuous time dynamical systems, Nonintegrability of nonhomogeneous nonlinear lattices, Non integrability of the \(J_ 2\) problem, Coalescence of singularities and Ziglin's approach to nonintegrability, Painlevé analysis and integrable cases of coupled cubic oscillators in the plane.
Cites Work
- Non-integrability of Hénon-Heiles system and a theorem of Ziglin
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- On the non-integrability of some generalized Toda lattices
- Approximations of the 3-particle Toda lattice
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
