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Cartan-Lepage forms in geometric mechanics
Autoři | |
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Rok publikování | 2012 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | International Journal of Non-Linear Mechanics |
Fakulta / Pracoviště MU | |
Citace | |
www | Full Text |
Doi | http://dx.doi.org/10.1016/j.ijnonlinmec.2011.09.002 |
Klíčová slova | Fibred mechanics; Lagrangian; Cartan-form; Cartan-Lepage form; First variation formula; Euler-Lagrange equations; Variational sequence |
Popis | We present variational principles for mechanics on the basis of the Cartan 1-form. We extend the theory to the Cartan-Lepage 2-forms related with dynamical forms and equations of motion. Explicit coordinate formulae for Lepage equivalents of dynamical forms are given. |
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