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math.SG2021
Hamilton-Jacobi Equations of Nonholonomic Magnetic Hamiltonian Systems
Hong Wang
In order to describe the impact of different geometric structures and constraints for the dynamics of a Hamiltonian system, in this paper, for a magnetic Hamiltonian system defined…
math.SG2021
Hamilton-Jacobi Equations of Controlled Magnetic Hamiltonian System with Nonholonomic Constraint
Hong Wang
In order to describe the impact of different geometric structures and constraints for the dynamics of a regular controlled Hamiltonian system, in this paper, we first define a kind…
math.SG2021
Symmetric Reduction of Regular Controlled Lagrangian System with Momentum Map
Hong Wang
In this paper, following the ideas in Marsden et al.[18], we set up the regular reduction theory of a regular controlled Lagrangian (RCL) system with symmetry and momentum map, by…