34 citations · 129 across the 10 of their papers we have counts for
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Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Leonardo Colombo, Manuel de León, Pedro D. Prieto-Martínez +1
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unifie…
Geometric Hamilton-Jacobi theory for higher-order autonomous systems
Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez +1
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 formal…
Unified formalism for higher-order variational problems and its applications in optimal control
Leonardo Colombo, Pedro D. Prieto-Martínez
In this paper we consider an intrinsic point of view to describe the equations of motion for higher-order variational problems with constraints on higher-order trivial principal bu…