29 citations · 71 across the 7 of their papers we have counts for
7 papers
Thermostatistics in the neighborhood of the -mode solution for the Fermi-Pasta-Ulam system: from weak to strong chaos
M. Leo, R. A. Leo, P. Tempesta
We consider a -mode solution of the Fermi-Pasta-Ulam system. By perturbing it, we study the system as a function of the energy density from a regime where the solution is st…
Numerical analysis of the one-mode solutions in the Fermi-Pasta-Ulam system
Alessandro Cafarella, Mario Leo, Rosario Antonio Leo
The stability of the one-mode nonlinear solutions of the Fermi-Pasta-Ulam - system is numerically investigated. No external perturbation is considered for the one-mode exact an…
A merry-go-round with the circle map, primes and pseudoprimes
M. Leo, R. A. Leo, G. Soliani
We show that the use of the main characteristics of the circle map leads naturally to establish a few statements on primes and pseudoprimes. In this way a Fermat's theorem on prime…
Non-local Symmetries of Nonlinear Field Equations: an Algebraic Approach
M. Leo, R. A. Leo, G. Soliani +1
An algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonlinear field equations. The method is based on the use of an infinite-dimensional…
Algebraic properties of the 1+1 dimensional Heisenberg spin field model
E. Alfinito, M. Leo, R. A. Leo +2
The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimensions. Using a special realization (an al…
Integrable nonlinear field equations and loop algebra structures
E. Alfinito, M. Leo, R. A. Leo +2
We apply the (direct and inverse) prolongation method to a couple of nonlinear Schr{ö}dinger equations. These are taken as a laboratory field model for analyzing the existence of a…