From symplectic integrator to Poincaré map: Spline expansion of a map generator in Cartesian coordinates

DOI10.1016/S0168-9274(98)00034-8zbMath0935.70003OpenAlexW1987659465MaRDI QIDQ1294536

James A. Ellison, Robert Lee Warnock

Publication date: 9 May 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00034-8

zbMATH Keywords

convergencegenerating functionphase spacesymplectic maptensor product B-splines

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Hamiltonian suspensions of symplectomorphisms: an alternative approach to design problems

Cites Work

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• Fourth-order symplectic integration
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