Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

We present a partial review of results concerning the theory of Discrete Breathers in
nonlinear hamiltonian and discrete systems. These special time-periodic solutions gained …

We address the issue of spatially localized periodic oscillations in coupled networks-so-
called discrete breathers-in a general context. This context is concerned with general …

We study the asymptotic behavior of solutions of discrete nonlinear Schrödinger-type
(DNLS) equations. For a conservative system, we consider the global in time solvability and …

Existence of self-localized time-periodic vibrations (discrete breathers) is proved for
alternating mass chains with anharmonic coupling and no external potential, provided the …

Discrete breathers are time-periodic spatially localised motions in networks of oscillators.
Their occurrence in three principal contexts is reviewed:(i) autonomous Hamiltonian or …

Open Problem Page 1 Nonlinearity OPEN PROBLEM Nonlinearity in complexity science To
cite this article: RS MacKay 2008 Nonlinearity 21 T273 View the article online for updates and …

We approach the problem of linear stability of discrete breathers in a rigorous way for
networks of not necessarily identical oscillators with general type of coupling. In the case of …

We investigate the resonance mechanisms for discrete breathers in finite-size Klein–Gordon
lattices, when some harmonic of the breather frequency enters the linear phonon band. For …

Complex dynamical systems are systems with many interdependent components which
evolve in time. One might wish to control their trajectories, but a more practical alternative is …