Variational Integrators for Perturbed Non-Canonical Hamiltoniaan Systems
Authors: Joshua W. Burby, C.L. Ellison and H. Qin
Abstract: Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We
present a method for deriving variational integrators that can be applied to perturbed non-canonical Hamiltonian systems
on manifolds based on discretizing this phase space variational principle. Relative to the perturbation parameter
ε, this type of integrator can take O (1) timesteps with arbitrary accuracy in ε by leveraging the unperturbed dynamics.
Moreover, these integrators are coordinate independent in the sense that their time-advance rules transform correctly
when passing from one phase space coordinate system to another.
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Submitted to: Journal of Computational Physics (January 2014)
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Download PPPL-4975 (pdf 4.02MB 16 pp)
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