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math.OC2023★ 1 cited
Virtual Holonomic and Nonholonomic Constraints on Lie groups
A. Anahory Simoes, A. Bloch, L. Colombo +1
This paper develops a geometric framework for virtual constraints on Lie groups, with emphasis on mechanical systems modeled as affine connection systems. Virtual holonomic and vir…
math-ph2023
Reduction by symmetries of contact mechanical systems on Lie groups
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León +3
We study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing sy…