Summary
The uniqueness of the Lagrangian description for a secondorder dynamical system is investigated by looking at admissible Lax representations.
Riassunto
Si studia l’unicità della descrizione lagrangiana di un sistema dinamico del secondo ordine attraverso le rappresentazioni di Lax ammissibili.
Резюме
Исследуется единственность Лагранжева описания для динамической системы второго порядка, рассматривая допустимые представления Лакса.
Similar content being viewed by others
References
S. De Filippo, G. Marmo andG. Vilasi:Phys. Lett. B,117, 418 (1982);S. De Filippo, G. Marmo, M. Salerno andG. Vilasi:On the phase manifold geometry of integrable nonlinear field theories, preprint Università di Salerno.
G. Marmo andE. J. Saletan:Nuovo Cimento B,40, 67 (1977).
F. Giandolfi, G. Marmo andC. Rubano:Nuovo Cimento B,66, 34 (1981).
M. Henneaux:Hadronic J.,4, 2137 (1981);Ann. Phys. (N. Y.),140, 45 (1982);M. Henneaux andL. C. Shepley:J. Math. Phys. (N. Y.),23, 2101 (1982).
W. Sarlet:J. Phys. A,15, 1503 (1982);W. Sarlet:Notes on equivalent Lagrangian symmetries (1983), preprint, Instituut voor Theoretische Mechanica, Rijksuniversiteit Gent, Belgium.
S. Hojaman andM. Harleston:J. Math. Phys. (N. Y.),22, 1414 (1981);M. Crampin:J. Phys. A,14, 2567 (1981).
M. Crampin:Tangent bundle geometry for Lagrangian dynamics (1983), preprint Open University.
M. Crampin:Phys. Lett. A,95, 209 (1983).
M. Lutzky:Lett. Nuovo Cimento,35, 393 (1982).
M. Lutzky:Phys. Lett. A,87, 27 (1982).
F. González Gascón andE. Aguirre-Daban:Phys. Lett. A,91, 384 (1982).
R. Abraham andJ. Marsden:Foundation of Mechanics (New York, N. Y., 1978).
A. P. Balanchandran, G. Marmo, B. S. Skagerstam andA. Stern:Nucl. Phys. B.,164, 427 (1980).
J. F. Cariñena andL. A. Ibort:J. Phys. A,16, 1 (1983).
Y. Gelman andE. J. Saletan:Nuovo Cimento B,18, 53 (1973).
F. González Gascón:Phys. Lett. A,87, 385 (1982).
S. A. Hojman andL. F. Urrutia:Phys. Rev. D,26, 527 (1982).
Author information
Authors and Affiliations
Additional information
Перебедено редакцией.
Rights and permissions
About this article
Cite this article
Marmo, G., Rubano, C. Equivalent Lagrangians and Lax representations. Nuov Cim B 78, 70–84 (1983). https://doi.org/10.1007/BF02721382
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02721382