@article{ARM_1984_20_1_a2,
author = {Krupka, Demeter and Musilov\'a, Jana},
title = {Hamilton extremals in higher order mechanics},
journal = {Archivum mathematicum},
pages = {21--30},
year = {1984},
volume = {20},
number = {1},
mrnumber = {785043},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1984_20_1_a2/}
}
Krupka, Demeter; Musilová, Jana. Hamilton extremals in higher order mechanics. Archivum mathematicum, Tome 20 (1984) no. 1, pp. 21-30. http://geodesic.mathdoc.fr/item/ARM_1984_20_1_a2/
[1] M. Ferraris M. Francaviglia: On the globalization of Lagrangian and Hamiltonian formalisms. Proc. IUTAM-ISIMM Sympos. on Modern Developments in Analytical Mechanics, Turin. 1982, Acta Acad. Sci.-Taurinensis, Torino. 1983, p. 109--125. | MR
[2] M. Francaviglia D. Krupka: The Hamilton formalism in higher order variational problems. Ann. Inst. H. Poincaré, XXXVII, 1982, p. 295-315. | MR
[3] M. Horák I. Kolář: On the higher order Poincaré-Cartan forms. Czechoslov. Math. J., to appear. | MR
[4] L. Klapka: Integrals of motion and semi-regular Lepagean forms in higher order mechanics. J. Phys., A: Math. Gen. 16 (1983), 3783-3794. | MR | Zbl
[5] D. Krupka: A geometric theory of ordinary first order variational problems in fibered manifolds, I. Critical sections. J. Math. Anal. Appl. 49, 1975, p. 180-206. | MR | Zbl
[6] D. Krupka: Lepagean forms in higher order variational theory. Proc. IUTAM-ISIMM Sympos. on Modern Developments in Analytical Mechanics,'Turin, 1982, Acta Acad. Sci. Taurinensis, Torino, 1983, p. 197-238. | MR
[7] D. Krupka: Some geometric aspects of variational problems in fibered manifolds. Folia Fac. Sci. Nat. UJEP Brunensis, XIV, 1973.
[8] D. Krupka O. Štěpánková: On the Hamilton form in second order calculus of variations. Proc. Internat. Meeting „Geometry and Physics", Florence, 1982, to appear.