On the qualitative behaviour of symplectic integrators. III: Perturbed integrable systems

DOI10.1006/jmaa.1997.5729zbMath0892.65041OpenAlexW2061907605MaRDI QIDQ1378638

Daniel Stoffer

Publication date: 24 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5729

zbMATH Keywords

error boundsHamiltonian systemsflowsymplectic methodsinvariant torusnonlinear perturbed integrable systems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

On the qualitative behaviour of symplectic integrators. II: Integrable systems ⋮ Geometric Derivation and Analysis of Multi-Symplectic Numerical Schemes for Differential Equations ⋮ Geometric derivation and analysis of multi-symplectic numerical schemes for differential equations ⋮ Structure-Preserving Numerical Integrators for Hodgkin--Huxley-Type Systems

Cites Work

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• Recent progress in the theory and application of symplectic integrators
• On the qualitative behaviour of symplectic integrators. I: Perturbed linear systems
• On the qualitative behaviour of symplectic integrators. II: Integrable systems
• Solving Ordinary Differential Equations I
• Invariant tori for non conservative perturbations of integrable systems