1 citations · 1 across the 2 of their papers we have counts for
4 papers
The geodesics for Poincaré's half-plane: a nonstandard derivation
Gianluca Gorni, Gaetano Zampieri
Constants of motion are usually derived from groups of symmetry transformation of the system. Here we show that useful properties of the system can be deduced from a family of Noet…
Nonlocal constants of motion in Lagrangian Dynamics of any order
Gianluca Gorni, Mattia Scomparin, Gaetano Zampieri
We describe a recipe to generate "nonlocal" constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechani…
Lagrangian dynamics by nonlocal constants of motion
Gianluca Gorni, Gaetano Zampieri
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 t…
A quasi separable dissipative Maxwell-Bloch system for laser dynamics
Gianluca Gorni, Stefania Residori, Gaetano Zampieri
The Maxwell-Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time dependent first integrals, that allow a nonstandard…