On the qualitative behaviour of symplectic integrators. I: Perturbed linear systems

DOI10.1007/S002110050299zbMath0885.65088OpenAlexW2040475467MaRDI QIDQ1374748

Daniel Stoffer

Publication date: 10 December 1997

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050299

zbMATH Keywords

invariant manifoldsflowlinear Hamiltonian systemssymplectic Runge-Kutta methodsattractive invariant torusdissipative perturbations

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

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

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