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We introduce a topology-based nonlinear network model of protein dynamics with the aim of investigating the interplay of spatial disorder and nonlinearity. We show that spontaneous localization of energy occurs generically and is a…

Biomolecules · Quantitative Biology 2011-11-10 Brice Juanico , Yves-Henri Sanejouand , Francesco Piazza , Paolo de los Rios

Recently, using a numerical surface cooling approach, we have shown that highly energetic discrete breathers (DB) can form in the stiffest parts of nonlinear network models of large protein structures. In the present study, using an…

Biomolecules · Quantitative Biology 2009-11-13 Francesco Piazza , Yves-Henri Sanejouand

We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process…

patt-sol · Physics 2008-02-03 T. Dauxois , M. Peyrard

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

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

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete breathers. These solutions are time-periodic and (typically exponentially) localized in space. The lattices exhibit discrete translational symmetry.…

patt-sol · Physics 2015-06-26 S. Flach , C. R. Willis

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 explore dynamics of discrete breathers and multi-breathers in finite one-dimensional chain. The model involves parabolic on-site potential with rigid constraints and linear nearest-neighbor coupling. The rigid non-ideal impact…

Pattern Formation and Solitons · Physics 2016-09-28 Itay Grinberg , Oleg V. Gendelman

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 report on the existence of discrete breathers in a one-dimensional, mass-in-mass chain with linear intersite coupling and nonlinear Hertzian local resonators, which is motivated by recent studies of the dynamics of microspheres adhered…

Pattern Formation and Solitons · Physics 2017-03-01 S. P. Wallen , J. Lee , D. Mei , C. Chong , P. G. Kevrekidis , N. Boechler

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

Intrinsic localized modes, also called discrete breathers, can exist under certain conditions in one-dimensional nonlinear electrical lattices driven by external harmonic excitations. In this work, we have studied experimentally the…

Pattern Formation and Solitons · Physics 2018-06-12 F. Palmero , J. Cuevas-Maraver , L. Q. English , R. Chacón

The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The existence of localized linear modes brings about that the…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. R. Archilla , Yu B. Gaididei , P. L. Christiansen , J. Cuevas

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

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 report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally and theoretically in…

Pattern Formation and Solitons · Physics 2013-08-21 L. Q. English , F. Palmero , J. F. Stormes , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

Artificial intelligence in the form of deep learning is now very popular and directly implemented in many areas of science and technology. In the present work we study time evolution of Discrete Breathers in one-dimensional nonlinear chains…

Pattern Formation and Solitons · Physics 2022-12-07 T. Dogkas , M. Eleftheriou , G. D. Barmparis , G. P. Tsironis

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

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

In this communication, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effects. We focus on both the…

Pattern Formation and Solitons · Physics 2015-05-25 J. Cuevas , P. G. Kevrekidis
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