# Hamilton extremals in higher order mechanics

Archivum Mathematicum (1984)

- Volume: 020, Issue: 1, page 21-30
- ISSN: 0044-8753

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topKrupka, Demeter, and Musilová, Jana. "Hamilton extremals in higher order mechanics." Archivum Mathematicum 020.1 (1984): 21-30. <http://eudml.org/doc/18126>.

@article{Krupka1984,

author = {Krupka, Demeter, Musilová, Jana},

journal = {Archivum Mathematicum},

keywords = {inverse variational problem; symmetries in variational calculus; Euler- like equations; Galilean group},

language = {eng},

number = {1},

pages = {21-30},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Hamilton extremals in higher order mechanics},

url = {http://eudml.org/doc/18126},

volume = {020},

year = {1984},

}

TY - JOUR

AU - Krupka, Demeter

AU - Musilová, Jana

TI - Hamilton extremals in higher order mechanics

JO - Archivum Mathematicum

PY - 1984

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 020

IS - 1

SP - 21

EP - 30

LA - eng

KW - inverse variational problem; symmetries in variational calculus; Euler- like equations; Galilean group

UR - http://eudml.org/doc/18126

ER -

## References

top- 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. (1982) MR0773482
- M. Francaviglia D. Krupka, The Hamilton formalism in higher order variational problems, Ann. Inst. H. Poincaré, XXXVII, 1982, p. 295-315. (1982) MR0694590
- M. Horák I. Kolář, On the higher order Poincaré-Cartan forms, Czechoslov. Math. J., to appear. MR0718929
- L. Klapka, Integrals of motion and semi-regular Lepagean forms in higher order mechanics, J. Phys., A: Math. Gen. 16 (1983), 3783-3794. (1983) Zbl0533.58017MR0727056
- 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. (1975) Zbl0312.58002MR0362397
- 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. (1982) MR0773488
- D. Krupka, Some geometric aspects of variational problems in fibered manifolds, Folia Fac. Sci. Nat. UJEP Brunensis, XIV, 1973. (1973)
- D. Krupka O. Štěpánková, On the Hamilton form in second order calculus of variations, Proc. Internat. Meeting „Geometry and Physics", Florence, 1982, to appear. (1982)

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