A conformal invariance for generalized Birkhoff equations

DOI10.1007/s10409-008-0176-8zbMath1257.70025OpenAlexW2092116362MaRDI QIDQ1939173

Jiafang Xie, Tieqiang Gang, Feng-Xiang Mei

Publication date: 26 February 2013

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-008-0176-8

zbMATH Keywords

conformal invarianceNoether symmetryLie symmetrygeneralized Birkhoff equations

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (9)

Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod ⋮ Conformal invariance and conserved quantity of Mei symmetry for higher-order nonholonomic system ⋮ Equilibrium points and periodic orbits of higher-order autonomous generalized Birkhoff system ⋮ Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type ⋮ Discrete optimal control for Birkhoffian systems ⋮ Conformal invariance and conserved quantities of mechanical system with unilateral constraints ⋮ Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type

Cites Work

• On the Birkhoffian mechanics
• The Noether's theory of Birkhoffian systems
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