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, and also to nonvariational Lagrangian systems. 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

Zampieri, Gaetano
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, and also to nonvariational Lagrangian systems. 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.
Killing-like equations, nonvariational Lagrange equations, constants of motion, inverse Noether theorem, dissipative Maxwell-Bloch equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/973953
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