On the nonexistence of an analytic integral of motion in periodically perturbed one degree of freedom Hamiltonians

DOI10.1016/0375-9601(84)90011-2zbMath0941.70510OpenAlexW2034591695MaRDI QIDQ1964865

Simos Ichtiaroglou, Efi Meletlidou

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(84)90011-2

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (2)

\(\Psi\)-series and obstructions to integrability of periodically perturbed one degree of freedom Hamiltonians. ⋮ A non-integrability test for perturbed separable planar Hamiltonians

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
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Homoclinic orbits in Hamiltonian systems
• A criterion for non-integrability based on Poincaré's theorem
• Stable and Random Motions in Dynamical Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the nonexistence of an analytic integral of motion in periodically perturbed one degree of freedom Hamiltonians