Non-convergence of formal integrals of motion
From MaRDI portal
Publication:4468604
DOI10.1088/0305-4470/36/32/306zbMath1078.70019OpenAlexW1974307184MaRDI QIDQ4468604
George Contopoulos, Christos Efthymiopoulos, Antonio Giorgilli
Publication date: 10 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/36/32/306
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items (10)
A review of the ``Third integral ⋮ Stability of axial orbits in galactic potentials ⋮ Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry ⋮ Kolmogorov and Nekhoroshev theory for the problem of three bodies ⋮ Special Features of Galactic Dynamics ⋮ Quantitative predictions with detuned normal forms ⋮ Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems ⋮ Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6 ⋮ Higher-order averaging, formal series and numerical integration. III: Error bounds ⋮ Kato perturbative expansion in classical mechanics and an explicit expression for the Deprit generator
This page was built for publication: Non-convergence of formal integrals of motion