It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

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 …

We report the experimental observation of modulational instability and discrete breathers in
a one-dimensional diatomic granular crystal composed of compressed elastic beads that …

Molecular-dynamics method is used to study the influence of mass ratio of anions and
cations on the phonon spectrum of the crystal with NaCl structure and on the conditions of …

It is well known that a modulationally unstable short-wavelength delocalized nonlinear
vibrational mode (DNVM) can create chaotic discrete breathers (DBs) in a nonlinear lattice …

The phenomenon of modulational instability is investigated for all four delocalized short-
wave vibrational modes recently found for the two-dimensional hexagonal lattice with the …

Linear and nonlinear dynamics of hexagonal boron nitride (h-BN) lattice is studied by means
of molecular dynamics simulations with the use of the Tersoff interatomic potentials. It is …

In the present molecular-dynamics study, external ac driving is used at frequencies outside
the phonon spectrum to excite gap DBs in uniformly strained graphene nanoribbon …

With this Focus Issue, Chaos commemorates the 50th anniversary of the May 1955
publication of the Los Alamos report (LA-1940:“Studies of Nonlinear Problems: I”) …

As one of the pioneers, I am privileged to write a brief history of the origins of the interwoven
fabric of nonlinear and computational science. The “father” of these fields was John von …