One-dimensional chains are used as a fundamental model of condensed matter, and have
constituted the starting point for key developments in nonlinear physics and complex …

Numerical integrations of the Solar System reveal a remarkable stability of the orbits of the
inner planets over billions of years, in spite of their chaotic variations characterized by a …

Whether Anderson localization is robust against many-body interactions and, closely
related, whether a disordered many-body system can be thermalized are long outstanding …

We experimentally investigate two cycles of Fermi–Pasta–Ulam–Tsingou recurrence in
optical fibers. Using three waves input, we characterize the distance of maximum …

A bstract It has long been known that weakly nonlinear field theories can have a late-time
stationary state that is not the thermal state, but a wave turbulent state with a far-from …

Commonly, thermal transport properties of one-dimensional systems are found to be
anomalous. Here, we perform a numerical and theoretical study of the β-Fermi-Pasta-Ulam …

We consider a mechanical lattice inspired by the Su-Schrieffer-Heeger model along with
cubic Klein-Gordon–type nonlinearity. We investigate the long-time dynamics of the …

In this paper we investigate analytically and numerically the nonlinear Kelvin lattice, namely
a chain of masses and nonlinear springs, as in the α-Fermi-Pasta–Ulam-Tsingou (FPUT) …

We consider the long-term dynamics of nonlinear dispersive waves in a finite periodic
domain. The purpose of the work is to show that the statistical properties of the wave field …

Nonintegrability is a necessary condition for the thermalization of a generic Hamiltonian
system. In practice, the integrability can be broken in various ways. As illustrating examples …