3 papers
math-ph2015
Applications of nonlocal constants of motion in Lagrangian Dynamics
Gianluca Gorni, Gaetano Zampieri
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 La…
nlin.SI2012
Reducing scattering problems under cone potentials to normal form by global canonical transformations
Gianluca Gorni, Gaetano Zampieri
We introduce a class of Hamiltonian scattering systems which can be reduced to the "normal form" , , by means of a global canonical transformation $ (P,Q)=A(p,q…
nlin.SI2012
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
Gianluca Gorni, Gaetano Zampieri
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a la…