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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer Nature B.V.
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-018-00226-0
- Publisher site
- See Article on Publisher Site
Abstract
We specialize a recently introduced variant of orbit space reduction for symmetric Hamiltonian systems. This variant works with suitable localizations of the algebra of polynomial invariants of the corresponding symmetry group action, and provides reduction to a variety that is embedded in a low-dimensional affine space, which makes efficient computations possible. As an example, we discuss the mechanical system of a “barbell” in a general central force field.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Dec 10, 2018