Discrete breathers—advances in theory and applications
S Flach, AV Gorbach - Physics Reports, 2008 - Elsevier
Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …
Nonlinear dynamics of nanomechanical and micromechanical resonators
R Lifshitz, MC Cross - Reviews of nonlinear dynamics and …, 2008 - Wiley Online Library
In the last decade we have witnessed exciting technological advances in the fabrication and
control of microelectromechanical and nanoelectromechanical systems (MEMS & NEMS)[1 …
control of microelectromechanical and nanoelectromechanical systems (MEMS & NEMS)[1 …
Nonlinear dynamics and its applications in micro-and nanoresonators
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 …
nanoelectromechanical systems. This research area, which has been active for …
Colloquium: Nonlinear energy localization and its manipulation in micromechanical oscillator arrays
M Sato, BE Hubbard, AJ Sievers - Reviews of Modern Physics, 2006 - APS
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 …
many branches of condensed-matter physics as evidenced by the appearance of domain …
Chaotic Quivering of Micron-Scaled On-Chip Resonators Excited<? format?> by Centrifugal Optical Pressure
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 …
pressure nonlinearity. Continuous optical input, with no external feedback or modulation …
Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
S Aubry - Physica D: Nonlinear Phenomena, 2006 - Elsevier
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 …
nonlinear hamiltonian and discrete systems. These special time-periodic solutions gained …
Dark discrete breather modes in a monoaxial chiral helimagnet with easy-plane anisotropy
IG Bostrem, EG Ekomasov, J Kishine, AS Ovchinnikov… - Physical Review B, 2021 - APS
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 …
excitations in various media. We argue that these requirements are met in the forced …
Intrinsic localized modes in parametrically driven arrays of nonlinear resonators
E Kenig, BA Malomed, MC Cross, R Lifshitz - Physical Review E—Statistical …, 2009 - APS
We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically driven
nonlinear resonators with application to microelectromechanical and …
nonlinear resonators with application to microelectromechanical and …
Intrinsic localized modes in microresonator arrays and their relationship to nonlinear vibration modes
AJ Dick, B Balachandran, CD Mote - Nonlinear Dynamics, 2008 - Springer
Abstract Intrinsic Localized Modes (ILMs) are defined as localizations due to strong intrinsic
nonlinearity within an array of perfect, periodically repeating oscillators. Such nonlinear …
nonlinearity within an array of perfect, periodically repeating oscillators. Such nonlinear …
Optical manipulation of intrinsic localized vibrational energy in cantilever arrays
Optically-induced real-time impurity modes are used to shepherd intrinsic localized
vibrational modes (discrete breathers) along micromechanical arrays via either attractive or …
vibrational modes (discrete breathers) along micromechanical arrays via either attractive or …