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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

We present a family of discrete breathers, which exists in a nonlinear polarizability model of ferroelectric materials. The core-shell model is set up in its non-dimensionalized Hamiltonian form and its linear spectrum is examined.…

Computational Physics · Physics 2015-06-03 C. Hoogeboom , P. G. Kevrekidis , A. Saxena , A. R. Bishop

We discuss the existence of breathers and lower bounds on their power, in nonlinear Schr\"odinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed point arguments, deriving lower bounds for the…

Pattern Formation and Solitons · Physics 2015-05-20 N. I. Karachalios , B. Sánchez-Rey , P. G. Kevrekidis , J. Cuevas

Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topological discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems…

High Energy Physics - Theory · Physics 2009-10-31 M. Haskins , J. M. Speight

A complete framework for exciting and detecting thermally-induced, stabilized sine-Gordon breathers in ac-driven long Josephson junctions is developed. The formation of long-time stable breathers locked to the ac source occurs for a…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

The existence of discrete breathers (DBs), or intrinsic localized modes (localized periodic oscillations of transzigzag) is shown. In the localization region periodic contraction-extension of valence C-C bonds occurs which is accompanied by…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Savin , L. I. Manevitch

We present experimental observation of broken-symmetry states in a superconducting loop with three Josephson junctions. These states are generic for discrete breathers in Josephson ladders. The existence region of the breather-like states…

Superconductivity · Physics 2009-11-07 F. Pignatelli , A. V. Ustinov

We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure of the model, we…

Pattern Formation and Solitons · Physics 2023-02-15 H. Duran , J. Cuevas-Maraver , P. G. Kevrekidis , A. Vainchtein

Discrete breathers, or intrinsic localized modes, are spatially localized, time--periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the sighting of a form of…

Pattern Formation and Solitons · Physics 2007-05-23 F. R. Romero , J. F. R. Archilla , F. Palmero , B. Sanchez-Rey , A. Alvarez , J. Cuevas , J. M. Romero

We study the dynamics of the discrete nonlinear Schr{\"o}dinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached. Our study of the nonlinear system locked…

patt-sol · Physics 2015-06-26 K. Ø. Rasmussen , S. Aubry , A. R. Bishop , G. P. Tsironis

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz

We report the experimental observation of discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian contact. We first characterize their effective linear spectrum both…

Pattern Formation and Solitons · Physics 2015-05-14 N. Boechler , G. Theocharis , S. Job , P. G. Kevrekidis , M. A. Porter , C. Daraio

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

Discrete bright breathers are well known phenomena. They are localized excitations that consist of a few excited oscillators in a lattice and the rest of them having very small amplitude or none. In this paper we are interested in the…

Pattern Formation and Solitons · Physics 2009-11-07 A. Alvarez , J. F. R. Archilla , J. Cuevas , F. R. Romero

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. We study the existence of energy thresholds for discrete breathers, i.e.,…

Pattern Formation and Solitons · Physics 2007-05-23 Michael Kastner

We investigate the existence and stability of discrete breathers in a chain of masses connected by linear springs and subjected to vibro-impact on-site potentials. The latter are comprised of harmonic springs and rigid constraints limiting…

Exactly Solvable and Integrable Systems · Physics 2017-07-04 Nathan Perchikov , O. V. Gendelman

By integrating a set of model equations for Josephson ladder subjected to a uniform transverse bias current we have found almost all of the kinds of breathers described in recent experiments, and closely reproduced their voltage-current…

Superconductivity · Physics 2009-11-07 Richard T Giles , Feodor V Kusmartsev

Reconstructive transformations in layered silicates need a high tem- perature in order to be observed. However, very recently, some systems have been found where transformation can be studied at temperatures 600 C below the lowest…

Pattern Formation and Solitons · Physics 2007-06-13 J. F. R. Archilla , J Cuevas , M. D. Alba , M. Naranjo , J. M. Trillo

We study the dynamics of current-biased Josephson-junction arrays with a magnetic penetration depth smaller than the lattice spacing. We compare the dynamics imaged by low-temperature scanning electron microscopy to the vortex dynamics…

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