A simple general theorem is used as a tool that generates nonlocal constants of motion for Lagrangian systems. We review some cases where the constants that we find are useful in the study of the systems: the homogeneous potentials of degree −2, the mechanical systems with viscous fluid resistance and the conservative and dissipative Maxwell-Bloch equations of laser dynam- ics. We also prove a new result on explosion in the past for mechanical system with hydraulic (quadratic) fluid resistance and bounded potential.
|Titolo:||Lagrangian dynamics by nonlocal constants of motion|
ZAMPIERI, Gaetano [Membro del Collaboration Group] (Corresponding)
|Data di pubblicazione:||2020|
|Appare nelle tipologie:||01.01 Articolo in Rivista|