Dynamical connections and non-autonomous lagrangian systems

Manuel De León; Paulo R. Rodrigues

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 2, page 171-181
  • ISSN: 0240-2963

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De León, Manuel, and Rodrigues, Paulo R.. "Dynamical connections and non-autonomous lagrangian systems." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.2 (1988): 171-181. <http://eudml.org/doc/73200>.

@article{DeLeón1988,
author = {De León, Manuel, Rodrigues, Paulo R.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {second order vector field; dynamical connection; almost tangent structure; Liouville vector field},
language = {eng},
number = {2},
pages = {171-181},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Dynamical connections and non-autonomous lagrangian systems},
url = {http://eudml.org/doc/73200},
volume = {9},
year = {1988},
}

TY - JOUR
AU - De León, Manuel
AU - Rodrigues, Paulo R.
TI - Dynamical connections and non-autonomous lagrangian systems
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 2
SP - 171
EP - 181
LA - eng
KW - second order vector field; dynamical connection; almost tangent structure; Liouville vector field
UR - http://eudml.org/doc/73200
ER -

References

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  2. [CPT] Crampin ( M.), Prince ( G.), Thompson ( G.).—A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics, J. Phys. A : Math. Gen., t. 17, 1984, p. 1437-1447. Zbl0545.58020MR748776
  3. [DLR 1] De Leon ( M.), Rodrigues ( P.R.).- Generalized Classical Mechanics and Field Theory. - North-Holland Math. Studies, t. 112, 1985. Zbl0581.58015MR808964
  4. [DLR 2] De Leon ( M.), Rodrigues ( P.R.).— Formalisme hamiltonien symplectique sur les fibrés tangents d'ordre supérieur, C.R. Acad. Sc.Paris, t. 301,ser.II,7, 1985, p. 455- 458. Zbl0594.58027MR815377
  5. [G] Gallissot ( T.).—Les formes extérieures en Mécanique, Ann. Inst. Fourier, Grenoble, t. 4, 1952, p. 145-297. Zbl0056.17101MR61507
  6. [GN] Gotay ( M.), Nester ( J.).- Presymplectic Lagrangian Systems, I/II. Ann. Inst. Henri Poincaré30,(2), 1979, p. 129-142; ibidem, 32,(1), 1980, p. 1-13. Zbl0414.58015MR535369
  7. [GR] Grifone ( J.). - Structure presque-tangente et connexions, I/II. Ann. Inst. Fourier (Grenoble), 22,(3), 1972, p. 287-334; ibidem, 22,(4), p. 291-338. Zbl0219.53032MR341361
  8. [K 1] Klein ( J.). - Espaces variationnels et Mécanique, Ann. Inst. Fourier (Grenoble), t. 12, 1962, p. 1-124. Zbl0281.49026MR215269
  9. [K 2] Klein ( J.).— Opérateurs différentiels sur les variétés presque- tangentes, C.R. Acad. Sc.Paris, t. 257A, 1963, p. 2392-2394. Zbl0114.38101MR157314
  10. [R] Roux ( A.).—Jets et connexions, Publ. Math. Univ. Lyon, t. 7, 1970, p. 1-42. Zbl0252.58002MR324721
  11. [SCC] Sarlet ( W.), Cantrijn ( F.), Crampin ( M.).—A new look at second-order equations and Lagrangian mechanics, J. Phys. A: Math. Gen., t. 17, 1984, p. 1999-2009. Zbl0542.58011MR763792
  12. [YI] Yano ( K.), Ishihara ( S.).— Tangent and Cotangent bundles.—Pure and Appl. Math.. Ser. 16, Marcel Dekker, N.Y., 1973. Zbl0262.53024MR350650

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