Hamiltonian perturbation theory explains how symplectic integrators work and, in particular, why they can be used to measure extremely small energy exchanges between different degrees of freedom in molecular collision problems. Conversely, numerical experiments based on symplectic integrators permit a detailed understanding of the dynamics of nearly integrable Hamiltonian systems, thus providing a valuable support to Hamiltonian perturbation theory.
From Hamiltonian perturbation theory to symplectic integrators and back
BENETTIN, GIANCARLO;FASSO', FRANCESCO
1999
Abstract
Hamiltonian perturbation theory explains how symplectic integrators work and, in particular, why they can be used to measure extremely small energy exchanges between different degrees of freedom in molecular collision problems. Conversely, numerical experiments based on symplectic integrators permit a detailed understanding of the dynamics of nearly integrable Hamiltonian systems, thus providing a valuable support to Hamiltonian perturbation theory.
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