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Title: Hamilton extremals in higher order mechanics (English)
Author: Krupka, Demeter
Author: Musilová, Jana
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 20
Issue: 1
Year: 1984
Pages: 21-30
Category: math
MSC: 70H05
idMR: MR785043
Date available: 2008-06-06T06:13:01Z
Last updated: 2012-05-09
Stable URL:
Reference: [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 0773482
Reference: [2] M. Francaviglia D. Krupka: The Hamilton formalism in higher order variational problems.Ann. Inst. H. Poincaré, XXXVII, 1982, p. 295-315. MR 0694590
Reference: [3] M. Horák I. Kolář: On the higher order Poincaré-Cartan forms.Czechoslov. Math. J., to appear. MR 0718929
Reference: [4] L. Klapka: Integrals of motion and semi-regular Lepagean forms in higher order mechanics.J. Phys., A: Math. Gen. 16 (1983), 3783-3794. Zbl 0533.58017, MR 0727056
Reference: [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. Zbl 0312.58002, MR 0362397
Reference: [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 0773488
Reference: [7] D. Krupka: Some geometric aspects of variational problems in fibered manifolds.Folia Fac. Sci. Nat. UJEP Brunensis, XIV, 1973.
Reference: [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.


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