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math.SG2022★ 1 cited
Geometric Reductions, Dynamics and Controls for Hamiltonian System with Symmetry
Hong Wang
This is a survey article, from the viewpoint of the completeness of the Marsden- Weinstein reduction, to introduce briefly some recent developments of the symmetric reductions and…
math.SG2022
Nonholonomic Controlled Hamiltonian System: Symmetric Reduction and Hamilton-Jacobi Equations
Hong Wang
In order to describe the impact of nonholonomic constraints for the dynamics of a regular controlled Hamiltonian (RCH) system, in this paper, for an RCH system with nonholonomic co…