A criterion for non-integrability of Hamiltonian systems with nonhomogeneous potentials

DOI10.1007/BF00944963zbMath0624.70014OpenAlexW1991496657MaRDI QIDQ578956

Ito Hidekazu

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944963

zbMATH Keywords

periodic orbitsanalytic continuationvariational equationssufficient conditionsmonodromy matricesalgebraic integrabilityHenon-Heiles systemsnonbranching of solutionsnondegenerate equilibrium pointnonintegrability of classical mechanical systems of two degrees

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Nonintegrability of the classical Zeeman Hamiltonian, Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method, Nonintegrability of some Hamiltonian systems, scattering and analytic continuation, Non-integrability in Hamiltonian mechanics, Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems, On the holonomy group associated with analytic continuations of solutions for integrable systems, Non-integrability of the truncated Toda lattice Hamiltonian at any order, Completion of vector fields and the Painlevé property, Symplectic analysis of dynamical systems with a small parameter. A new criterion for stabilization of homoclinic separatrices and its application, Nonintegrability of nonhomogeneous nonlinear lattices, Nonintegrability of Bianchi VIII Hamiltonian system, Numerical evidence of nonintegrability of certain Lie-Poisson system

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