Geometric Pseudospectral Method on Lie Group with application to 3D Pendulum
- 10.2991/iccia.2012.262How to use a DOI?
- geometric pseudospectral method, Lie group, Equivariant map, 3D pendulum
General pseudospectral method is extended to Lie group by virtue of equivariant map for solving rigid dynamics on Lie group. In particular, for the problem of structural characteristics of the dynamics system can not be conserved by using general pseudospectral method directly on Lie group, the differential equation evolving on the Lie group is transformed to an equivalent differential equation evolving on a Lie algebra on which general pseudospectral method is used, so that the numerical flow of rigid body dynamics is ensured to stay on Lie group. Furthermore, structural conservativeness and numerical stabilities of this method are validated and analyzed by simulation on a 3D pendulum in comparison with using pseudospectral method directly on Lie group.
- © 2013, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Jie Li AU - Honglei An AU - Xueqiang Gu AU - Hongtao Xue PY - 2014/05 DA - 2014/05 TI - Geometric Pseudospectral Method on Lie Group with application to 3D Pendulum BT - Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012) PB - Atlantis Press SP - 1068 EP - 1073 SN - 1951-6851 UR - https://doi.org/10.2991/iccia.2012.262 DO - 10.2991/iccia.2012.262 ID - Li2014/05 ER -