Non-Noether symmetries and conserved quantities of nonconservative dynamical systems
نویسندگان
چکیده
This Letter focuses on studying non-Noether symmetries and conserved quantities of the nonconservative dynamical system. Based on the relationships among motion, nonconservative forces and Lagrangian, we present conservation laws on non-Noether symmetries for nonconservative dynamical systems. A criterion is obtained on which non-Noether symmetry leads to Noether symmetry in nonconservative systems. The Letter also gives connection between the non-Noether symmetries and Lie point symmetries, and further obtains Lie invariants which form a complete set of invariants. Finally, an example is discussed to illustrate these results. 2003 Elsevier B.V. All rights reserved.
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