We discuss, in all generality, the reduction of the Hamilton – Jacobi equation for
systems subject to nonholonomic constraints and invariant under the action of a group of
symmetries.We consider nonholonomic systems subject to both linear and nonlinear constraints
and with different positioning of such constraints with respect to the symmetries.
Keywords:
Hamilton – Jacobi, theory of reduction, nonholonomic systems; constrained systems, nonlinear constraints, reconstruction, symplectic reduction, Marsden –Weinstein reduction, symmetries
Citation:
Esen O., Jiménez V. M., de León M., Sardón C., Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems, Regular and Chaotic Dynamics,
2019, Volume 24, Number 5,
pp. 525-559