Existence of formal integrals of symplectic integrators

DOI10.1007/BF00691918zbMath0882.58018OpenAlexW2019811809MaRDI QIDQ1363155

Lin Liu, Xin-Hao Liao

Publication date: 12 March 1998

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00691918

zbMATH Keywords

\(N\)-body problemsymplectic integratorsformal integrals

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10)

Related Items (2)

Symplectic integrator for general near-integrable Hamiltonian system ⋮ Non-existence of the modified first integral by symplectic integration methods

Cites Work

• Unnamed Item
• Recent progress in the theory and application of symplectic integrators
• Symplectic integrators and their application to dynamical astronomy
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Chaotic Evolution of the Solar System
• Canonical transformations depending on a small parameter

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