Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Zampieri, Gaetano"'
Some characteristics of the Sawada-Kotera Lagrangian system lend themselves to generalization, producing a large class of separable Lagrangian systems with two degrees of freedom.
Externí odkaz:
http://arxiv.org/abs/2404.09612
Autor:
Gorni, Gianluca, Zampieri, Gaetano
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 Noether-like transformations that are not inspired by any symmetry whatsoe
Externí odkaz:
http://arxiv.org/abs/2209.10879
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 mechanical systems, from which we can deduce global existence and estimates o
Externí odkaz:
http://arxiv.org/abs/2104.14793
Autor:
Gorni, Gianluca, Zampieri, Gaetano
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~$-2$, th
Externí odkaz:
http://arxiv.org/abs/2006.14844
Publikováno v:
In Partial Differential Equations in Applied Mathematics June 2022 5
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 separation of variables in the equations. That condition has a precis
Externí odkaz:
http://arxiv.org/abs/1710.07532
Publikováno v:
Dynamics (2673-8716); Sep2024, Vol. 4 Issue 3, p499-505, 7p
Autor:
Gorni, Gianluca, Zampieri, Gaetano
We give a recipe to generate "nonlocal" constants of motion for ODE Lagrangian systems and we apply the method to find useful constants of motion for dissipative system, for the Lane-Emden equation, and for the Maxwell-Bloch system with RWA.
Externí odkaz:
http://arxiv.org/abs/1412.8578
Publikováno v:
NoDEA 1 (1994) 229--248
This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We address ourselves mainly to readers who are interested in the applications to Differential Equations. But we do not deal with those applications and we giv
Externí odkaz:
http://arxiv.org/abs/1410.7902
Autor:
Gorni, Gianluca, Zampieri, Gaetano
If we impose infinitesimal invariance up to a boundary term of the action functional for Lagrangian ordinary differential equations, we are led to Killing-type equations, which are related to first integrals through Noether theorem. We review the "on
Externí odkaz:
http://arxiv.org/abs/1403.0506