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

In the last decade we have witnessed exciting technological advances in the fabrication and
control of microelectromechanical and nanoelectromechanical systems (MEMS & NEMS)[1 …

This review provides a summary of work on the resonant nonlinear dynamics of micro-and
nanoelectromechanical systems. This research area, which has been active for …

It has been known for some time that nonlinearity and discreteness play important roles in
many branches of condensed-matter physics as evidenced by the appearance of domain …

Opto-mechanical chaotic oscillation of an on-chip resonator is excited by the radiation-
pressure nonlinearity. Continuous optical input, with no external feedback or modulation …

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 …

Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather
excitations in various media. We argue that these requirements are met in the forced …

We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically driven
nonlinear resonators with application to microelectromechanical and …

Abstract Intrinsic Localized Modes (ILMs) are defined as localizations due to strong intrinsic
nonlinearity within an array of perfect, periodically repeating oscillators. Such nonlinear …

Optically-induced real-time impurity modes are used to shepherd intrinsic localized
vibrational modes (discrete breathers) along micromechanical arrays via either attractive or …