Scaling Hamiltonian Systems

DOI10.1137/0515066zbMath0577.70017OpenAlexW1984493966MaRDI QIDQ3698354

Kenneth R. Meyer

Publication date: 1984

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0515066

zbMATH Keywords

continuation theoremLyapunov's center theoremScaling techniquestheorems on periodic solutions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Harrington's Hamiltonian in the stellar problem of three bodies: Reductions, relative equilibria and bifurcations, 2-D Duffing oscillator: elliptic functions from a dynamical systems point of view, Invariant tori in Hamiltonian systems with high order proper degeneracy, Closed-form normalizations of perturbed two-body problems., Nonlinear stability of the equilibria in a double-bar rotating system, KAM in generalized Hamiltonian systems with multi-scales, A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints, Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems, Linearization: Laplace vs. Stiefel, Lower-dimensional tori in multi-scale, nearly integrable Hamiltonian systems, Multiscale KAM theorem for Hamiltonian systems, Lower dimension tori of general types in multi-scale Hamiltonian systems, Asymptotic ordination of artificial satellite Hamiltonian, Normal forms for perturbed Keplerian systems., Apollonius coordinates, the N-body problem, and continuation of periodic solutions