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- W3100579684 abstract "The aim of this work is to study fiber derivatives associated to Lagrangian and Hamiltonian functions describing the dynamics of a higher-order autonomous dynamical system. More precisely, given a function in T∗T(k−1)Q, we find necessary and sufficient conditions for such a function to describe the dynamics of a kth-order autonomous dynamical system, thus being a kth-order Hamiltonian function. Then, we give a suitable definition of (hyper)regularity for these higher-order Hamiltonian functions in terms of their fiber derivative. In addition, we also study an alternative characterization of the dynamics in Lagrangian submanifolds in terms of the solutions of the higher-order Euler-Lagrange equations." @default.
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- W3100579684 date "2016-08-01" @default.
- W3100579684 modified "2023-10-16" @default.
- W3100579684 title "Regularity properties of fiber derivatives associated with higher-order mechanical systems" @default.
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- W3100579684 doi "https://doi.org/10.1063/1.4960822" @default.
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