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 …

It is shown numerically that for Fermi-Pasta-Ulam (FPU) chains with alternating masses and
heat baths at slightly different temperatures at the ends, the local temperature (LT) on small …

We prove analytically and show numerically that the dynamics of the Fermi-Pasta-Ulam-
Tsingou chain is characterized by a transient Burgers turbulence regime on a wide range of …

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 present an analytical study of the Fermi–Pasta–Ulam (FPU) α–model with periodic
boundary conditions. We analyze the dynamics corresponding to initial data with one low …

This book introduces and explores modern developments in the well established field of
Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the …

We focus on two approaches that have been proposed in recent years for the explanation of
the so-called Fermi-Pasta-Ulam (FPU) paradox, ie, the persistence of energy localization in …

We investigate with numerical methods the scaling of the relaxation time to equipartition in
the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the …

Numerical evidence on the relevance of the initial conditions to the Fermi-Pasta-Ulam
problem is reported, supported by analytic estimates. In particular, we analyze the special …

A numerical and analytical study of the relaxation to equilibrium of both the Fermi-Pasta-
Ulam (FPU) α-model and the integrable Toda model, when the fundamental mode is initially …