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We report on the experimental generation of discrete breather states (intrinsic localized modes) in frustrated Josephson arrays. Our experiments indicate the formation of discrete breathers during the transition from the static to the…

Condensed Matter · Physics 2007-05-23 M. Schuster , F. Pignatelli , A. V. Ustinov

A core-softened model of a glass forming fluid is numerically studied in the limit of very low temperatures. The model shows two qualitatively different behaviors depending on the strength of the attraction between particles. For no or low…

Statistical Mechanics · Physics 2009-11-07 E. A. Jagla

Discrete breathers are ubiquitous structures in nonlinear anharmonic models ranging from the prototypical example of the Fermi-Pasta-Ulam model to Klein-Gordon nonlinear lattices, among many others. We propose a general criterion for the…

Pattern Formation and Solitons · Physics 2016-08-26 Panayotis G. Kevrekidis , Jesús Cuevas-Maraver , Dmitry Pelinovsky

In this work, we present a mechanical example of an experimental realization of a stability reversal between on-site and inter-site centered localized modes. A corresponding realization of a vanishing of the Peierls-Nabarro barrier allows…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , L. Q English , P. G. Kevrekidis , M. Anderson

We consider the long-time evolution of weakly perturbed discrete nonlinear Schroedinger breathers. While breather growth can occur through nonlinear interaction with one single initial linear mode, breather decay is found to require…

Pattern Formation and Solitons · Physics 2009-10-31 Magnus Johansson

We present analytical and numerical study of discrete breathers identified as localized deformations of valence angles accompanied by change of valence bonds in crystalline polyethylene (PE). It is shown that such breathers can exist inside…

Pattern Formation and Solitons · Physics 2007-05-23 L. I. Manevitch , A. V. Savin , C. -H. Lamarque

The occurrence of single- or multisite localized vibrational modes, also called Discrete Breathers (DBs), in 2D hexagonal dusty plasma (DP) lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized…

Pattern Formation and Solitons · Physics 2015-05-13 V. Koukouloyannis , I. Kourakis

We touch upon the wide topic of discrete breather formation with a special emphasis on the the $\phi^4$ model. We start by introducing the model and discussing some of the application areas/motivational aspects of exploring time periodic,…

Pattern Formation and Solitons · Physics 2020-08-25 J. Cuevas-Maraver , P. G. Kevrekidis

We study the effects of electron-lattice interaction in the presence of discrete breathers. The lattice is treated classically. We consider two different situations - i) the scattering of an electron by a discrete breather in the…

Statistical Mechanics · Physics 2008-02-03 S. Flach , K. Kladko

By applying a staggered driving force in a prototypical discrete model with a quartic nonlinearity, we demonstrate the spontaneous formation and destruction of discrete breathers with a selected frequency due to thermal fluctuations. The…

Pattern Formation and Solitons · Physics 2010-05-20 David Cubero , Jesus Cuevas , P. G. Kevrekidis

We present analytical and numerical studies of phase-coherent dynamics of intrinsically localized excitations (breathers) in a system of two weakly coupled nonlinear oscillator chains. We show that there are two qualitatively different…

Pattern Formation and Solitons · Physics 2009-11-13 Yuriy A. Kosevich , Leonid I. Manevitch , Alexander V. Savin

We study the structure and stability of discrete breathers (both pinned and mobile) in two-dimensional nonlinear anisotropic Schrodinger lattices. Starting from a set of identical one-dimensional systems we develop the continuation of the…

Pattern Formation and Solitons · Physics 2009-11-11 J. Gomez-Gardenes , L. M. Floria , A. R. Bishop

We study the dynamics of nanocrystals composed of C60 fullerene molecules. We demonstrate that such structures can support long-lived strongly localized nonlinear oscillatory modes, which resemble discrete breathers in simple lattices. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Alexander V. Savin , Yuri S. Kivshar

We present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration. It can be used for obtaining exact breather solutions in…

Pattern Formation and Solitons · Physics 2007-12-03 G. M. Chechin , G. S. Dzhelauhova

We study numerically synchronization phenomena of mobile discrete breathers in dissipative nonlinear lattices periodically forced. When varying the driving intensity, the breather velocity generically locks at rational multiples of the…

Pattern Formation and Solitons · Physics 2007-05-23 D. Zueco , P. J. Martinez , L. M. Floria , F. Falo

Intrinsic Localized Modes (ILMs) or Discrete Breathers (DBs) are produced through a non-linear vibration localization phenomenon. While Anderson localization is due to lattice defects, the nonlinearity of lattices provides the basis for ILM…

Pattern Formation and Solitons · Physics 2017-09-01 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

We investigate the existence of spatially localised solutions, in the form of discrete breathers, in general damped and driven nonlinear lattice systems of coupled oscillators. Conditions for the exponential decay of the difference between…

Pattern Formation and Solitons · Physics 2013-10-25 Dirk Hennig

On a two-dimensional planar parity-time-($\mathcal{PT}$-)symmetric nonlinear magnetic metamaterial, consisting of split-ring dimers with balanced gain and loss, discrete breather solutions can be found. We extend these studies and by…

Pattern Formation and Solitons · Physics 2019-12-25 Sascha Böhrkircher , Sebastian Erfort , Holger Cartarius , Günter Wunner

In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrodinger lattices, we have used a regularized Newton algorithm to continue these solutions from the limit of the integrable…

Other Condensed Matter · Physics 2007-05-23 J. Gomez-Gardenes , L. M. Floria , M. Peyrard , A. R. Bishop

We describe results concerning the existence proofs of Discrete Breathers (DBs) in the two classes of dynamical systems with optical linear phonons and with acoustic linear phonons. A standard approach is by continuation of DBs from an…

Condensed Matter · Physics 2007-05-23 S. Aubry , G. Kopidakis