Oğul Esen, Manuel de León, Víctor Manuel Jiménez Morales, Cristina Sardón
Published 2018-10-11Version 1
Non-holonomic mechanical systems are deserving more and more interest in recent years due to its applications in engineering sciences as well as its geometric richness. In this paper we discuss the reduction of the Hamilton-Jacobi theory for systems with simmetries in its total generality, that is, we consider linear or nonlinear constraints. The reduction procedure is descrived as well as a reconstruction procedure from the reduced Halmiton-Jacobi equation.
An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
Towards a Hamilton-Jacobi Theory for Nonholonomic Mechanical Systems
A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
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