Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems

DOI10.1016/j.physleta.2006.04.097zbMath1142.70318OpenAlexW2147845240MaRDI QIDQ942428

Salvador Jiménez, Yi-Fa Tang, Jing-li Fu, Li Qun Chen

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.04.097

zbMATH Keywords

mechanico-electrical systemLutzky conserved quantitynon-Noether symmetry

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (9)

Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Mei symmetry of discrete mechanico-electrical systems ⋮ Energy--work connection integration schemes for mechanico-electrical systems ⋮ Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type ⋮ Hojman conserved quantities of discrete mechanico-electrical systems constructed by continuous symmetries ⋮ Adiabatic invariants induced by perturbation to form invariance of mechanico-electrical systems ⋮ Lie symmetries and conserved quantities of the constraint mechanical systems on time scales ⋮ HOJMAN CONSERVED QUANTITIES AND LIE SYMMETRIES OF DISCRETE NON-CONSERVATIVE SYSTEMS ⋮ Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

Cites Work

• Form invariance, Noether symmetry and Lie symmetry of Hamiltonian systems in phase space
• Noether's theory in classical nonconservative mechanics
• Conserved quantities and velocity-dependent symmetries in Lagrangian dynamics
• Non-Noether symmetries and conserved quantities of nonconservative dynamical systems
• A Noetherian symmetry for 2D spinning particle
• On Noether symmetries and form invariance of mechanico-electrical systems
• Dynamical symmetries and conserved quantities
• A new conservation law constructed without using either Lagrangians or Hamiltonians
• Remarks on a recent theorem about conserved quantities

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