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Title: A property of connections of mechanical systems of higher order (English)
Author: Dekrét, Anton
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 43
Issue: 1
Year: 1993
Pages: 77-87
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Category: math
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MSC: 37J99
MSC: 70H03
idZBL: Zbl 0771.58014
idMR: MR1216270
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Date available: 2009-09-25T10:45:57Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129775
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Reference: [1] DE ANDRÉS L. C., DE LEÓN M., RODRIGUES P. R.: Connections on tangent bundles of higher order.Demonstratio Math. XXII (1989), 607-632. Zbl 0701.53050, MR 1041903
Reference: [2] CRAMPIN M.: Alternative Lagrangians in particle dynamics.In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 1-12. MR 0923340
Reference: [3] DEKRÉT A.: Ordinary differential equations and connections.In: Proc. of Conf. Diff. Geom. and Appl., Brno 1989, World Scientific, Singapore, 1990, pp. 27-32. MR 1062002
Reference: [4] DEKRÉT A.: Mechanical structures and connections.In: Proc. of Conf. Diff. Geom. and Appl., Dubrovnik 1988, University of Novi Sad, Novi Sad, 1989, pp. 121-131. MR 1040061
Reference: [5] DEKRÉT A.: Connections deduced from mechanical system of second order.In: Proc. of Colloquium of Diff. Geom., Eger (Hungary) 1989, Soc. J. Bolyai, Budapest, 1992, pp. 201-213. MR 1211657
Reference: [6] KLEIN J.: Espaces variationnels et mechanique.Ann. Inst. Fourier (Grenoble) 12 (1962), 1-124. MR 0215269
Reference: [7] KLEIN J.: Almost symplectic structures in dynamics.In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 79-90. MR 0923345
Reference: [8] DE LEÓN M., RODRIGUES P. R.: Generalized Classical Mechanics and Field Theory.North-Holland Math. Stud. 112, North-Holland, Amsterdam-New York, 1985. Zbl 0581.58015, MR 0808964
Reference: [9] TULCZYJEW W.: Sur la differential de Lagrange.C. R. Acad. Sci. Paris Ser. I 280 (1975), 1295-1298. MR 0377987
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