Geometric Hamilton-Jacobi theory for higher-order autonomous systems

The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.

Article: 
Geometric Hamilton-Jacobi theory for higher-order autonomous systems
Authors: 
Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy
Journal: 
Preprint Arxiv
Year: 
2013
URL: 
http://arxiv.org/abs/1309.2166