On the Birkhoffian mechanics

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Publication:872668

DOI10.1016/S0020-7462(00)00049-4zbMath1345.70029MaRDI QIDQ872668

Feng-Xiang Mei

Publication date: 28 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)




Related Items (20)

Variational problem of Herglotz type for Birkhoffian system and its Noether's theoremsLie symmetry and invariants for a generalized Birkhoffian system on time scalesApproximate Birkhoffian formulations for nonconservative systemsNoether symmetries and conserved quantities for fractional forced Birkhoffian systemsNoether symmetries and conserved quantities for fractional Birkhoffian systemsGeneralized variational problems and Birkhoff equationsPerturbation to Noether symmetries and adiabatic invariants for Birkhoffian systemsVariational integrators for fractional Birkhoffian systemsA conformal invariance for generalized Birkhoff equationsA new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz typeSymmetries and conserved quantities for fractional action-like Pfaffian variational problemsPerturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scalesNon-standard Birkhoffian dynamics and its Noether's theoremsPerturbation of symmetries of rotational relativistic Birkhoffian systems and its inverse problemTwo forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systemsNoether's theorem of fractional Birkhoffian systemsTime-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether typeMei symmetry and new conserved quantities of time-scale Birkhoff's equationsSymplectic central difference scheme for quasi-linear autonomous Birkhoffian systemsNoether symmetries and conserved quantities for Birkhoffian systems with time delay




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