| Popis: |
The Killing-like equation and the inverse Noether theorem arise in connection with the search for first integrals of Lagrangian systems. We generalize the theory to include "nonlocal" constants of motion of the form \begin{document} $N_0+∈t N_1\, dt$ \end{document} , and also to nonvariational Lagrangian systems \begin{document} $\frac{d}{dt}\partial_{\dot q}L-\partial_qL=Q$ \end{document} . As examples we study nonlocal constants of motion for the Lane-Emden system, for the dissipative Maxwell-Bloch system and for the particle in a homogeneous potential. |
