Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems

2019, Volume 24, Number 5, pp. 525-559

Author(s): Esen O., Jiménez V. M., de León M., Sardón C.

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

DOI: 10.1134/S156035471905006X

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