Non-Noether symmetries and conserved quantities of nonconservative dynamical systems

DOI10.1016/j.physleta.2003.08.028zbMath1027.37048OpenAlexW2129179650MaRDI QIDQ1409164

Li Qun Chen, Jing-li Fu

Publication date: 5 October 2003

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.08.028

zbMATH Keywords

Lie point symmetriesLie invariants

Mathematics Subject Classification ID

Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (11)

Symmetry and conserved quantities for non-material volumes ⋮ On the Lagrangian structure of quantum fluid models ⋮ Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives ⋮ Hojman conserved quantities of discrete mechanico-electrical systems constructed by continuous symmetries ⋮ Noether symmetries of discrete nonholonomic dynamical systems ⋮ Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems ⋮ Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system ⋮ Conservation laws for invariant functionals containing compositions§ ⋮ HOJMAN CONSERVED QUANTITIES AND LIE SYMMETRIES OF DISCRETE NON-CONSERVATIVE SYSTEMS ⋮ Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether's theorem ⋮ Energy-like conserved quantity of a nonlinear nonconservative continuous system

Cites Work

• Conserved quantities and velocity-dependent symmetries in Lagrangian dynamics
• A new conservation law constructed without using either Lagrangians or Hamiltonians
• Remarks on a recent theorem about conserved quantities

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