158 citations · 509 across the 17 of their papers we have counts for
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math.DS2013★ 12 cited
Inexact trajectory planning and inverse problems in the Hamilton--Pontryagin framework
Christopher L. Burnett, Darryl D. Holm, David M. Meier
We study a trajectory-planning problem whose solution path evolves by means of a Lie group action and passes near a designated set of target positions at particular times. This is…
math.DS2011★ 12 cited
Geometric integrators for higher-order mechanics on Lie groups
Christopher L. Burnett, Darryl D. Holm, David M. Meier
This paper develops a structure-preserving numerical integration scheme for a class of higher-order mechanical systems. The dynamics of these systems are governed by invariant vari…