| 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:
|
http://hdl.handle.net/10338.dmlcz/107182 |
| . |
| 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. |
| . |
