A new Lie symmetrical method of finding conserved quantity for Birkhoffian systems

DOI10.1007/S11071-012-0517-9zbMath1268.34047OpenAlexW2039421388MaRDI QIDQ354300

Shao-Kai Luo, Zhuang-Jun Li

Publication date: 18 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0517-9

zbMATH Keywords

Lie groupLie symmetryconserved quantityBirkhoffian system

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05)

Related Items (12)

Noether theorem for Birkhoffian systems on time scales ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems ⋮ Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system ⋮ Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod ⋮ Equilibrium points and periodic orbits of higher-order autonomous generalized Birkhoff system ⋮ A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay ⋮ Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system ⋮ Symmetries and conserved quantities for fractional action-like Pfaffian variational problems ⋮ Noether theory for Birkhoffian systems with nabla derivatives ⋮ Noether symmetries and conserved quantities for Birkhoffian systems with time delay ⋮ Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type

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