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Euler–Lagrange equations; Hamiltonian systems; Hamilton extremals; Dedecker–Hamilton extremals; Hamilton equations; Lepagean equivalents

References:

[1] Krupka D.: **Some geometric aspects of variational problems in fibered manifolds**. Folia Fac. Sci. Nat. UJEP Brunensis 14 (1973), 1–65.

[2] Krupková O.: **Hamiltonian field theory**. J. Geom. Phys. 43 (2002), 93–132. MR 1919207 | Zbl 1016.37033

[3] Krupková O.: **Hamiltonian field theory revisited: A geometric approach to regularity**. in: Steps in Differential Geometry, Proc. of the Coll. on Differential Geometry, Debrecen 2000 (University of Debrecen, Debrecen, 2001), 187–207. MR 1859298 | Zbl 0980.35009

[4] Krupková O.: **Higher-order Hamiltonian field theory**. Paper in preparation.

[5] Saunders D. J.: **The geometry of jets bundles**. Cambridge University Press, Cambridge, 1989. MR 0989588

[6] Shadwick W. F.: **The Hamiltonian formulation of regular $r$-th order Lagrangian field theories**. Lett. Math. Phys. 6 (1982), 409–416. MR 0685846