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arXiv.org e-Print Archive
Preprint . 2012
Data sources: arXiv.org e-Print Archive
https://doi.org/10.1109/cdc.20...
Article . 2012 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
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DBLP
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https://dx.doi.org/10.1109/cdc...
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Hamel's formalism and variational integrators on a sphere

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Dec 2012Embargo end date: 01 Jan 2012Publisher:IEEEJournal:2012 IEEE 51st IEEE Conference on Decision and Control (CDC)Funded by:NSF | Dynamics and Control of N..., NSF | Improving the STEM workfo..., NSF | CAREER: Computational Geo... +6 projects
Authors: Dmitry V. Zenkov; Melvin Leok; Anthony M. Bloch;

doi: 10.1109/cdc.2012.6426779 , 10.48550/arxiv.1211.4607

arXiv: 1211.4607

Hamel's formalism and variational integrators on a sphere

Abstract

This paper discusses Hamel's formalism and its applications to structure-preserving integration of mechanical systems. It utilizes redundant coordinates in order to eliminate multiple charts on the configuration space as well as nonphysical artificial singularities induced by local coordinates, while keeping the minimal possible degree of redundancy and avoiding integration of differential-algebraic equations.

7 pages, 4 figures

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Keywords

FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
Green