This paper is devoted to a numerical study of the familiar α+ β FPU model. Precisely, we
here discuss, revisit and combine together two main ideas on the subject:(i) In the system, at …

We investigate numerically the common α+ β and the pure β FPU models, as well as some
higher order generalizations. We consider initial conditions in which only low-frequency …

We study the slow relaxation of isolated quasi-integrable systems, focusing on the classical
problem of Fermi-Pasta-Ulam-Tsingou (FPU) chain. It is well known that the initial energy …

We apply Wave Turbulence theory to describe the dynamics on nonlinear one-dimensional
chains. We consider $\alpha $ and $\beta $ Fermi-Pasta-Ulam-Tsingou (FPUT) systems …

FPU models, in dimension one, are perturbations either of the linear model or of the Toda
model; perturbations of the linear model include the usual β β-model, perturbations of Toda …

Many papers investigated, in a variety of ways, the so-called “FPU state” in the Fermi-Pasta-
Ulam model, namely the state, intermediate between the initial state and equipartition, that …

The relaxation process toward equipartition of energy among normal modes in a
Hamiltonian system with many degrees of freedom, the Fermi-Pasta-Ulam (FPU) model is …

We construct an extensive adiabatic invariant for a Klein–Gordon chain in the
thermodynamic limit. In particular, given a fixed and sufficiently small value of the coupling …

We study numerically the process of dynamical thermalization in the Frenkel-Kontorova (FK)
model with weak nonlinearity. The total energy has initially equidistributed among some of …

Consider an FPU chain composed of N ≫ 1 N≫ 1 particles, and endow the phase space
with the Gibbs measure corresponding to a small temperature β^-1 β-1. Given a fixed KK, we …