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 $N_0+int N_1,dt$, and also to nonvariational Lagrangian systems $rac{d}{dt}partial_{dot q}L-partial_qL=Q$. 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.
Nonlocal and nonvariational extensions of killing-type equations
Gorni, Gianluca;
2018-01-01
Abstract
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 $N_0+int N_1,dt$, and also to nonvariational Lagrangian systems $rac{d}{dt}partial_{dot q}L-partial_qL=Q$. 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.File in questo prodotto:
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