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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…

斑图形成与孤子 · 物理学 2007-05-23 D. Zueco , P. J. Martinez , L. M. Floria , F. Falo

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 · 物理学 2015-06-26 K. Ø. Rasmussen , S. Aubry , A. R. Bishop , G. P. Tsironis

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but…

统计力学 · 物理学 2009-11-10 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo

The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a…

斑图形成与孤子 · 物理学 2023-01-20 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

We study the phenomenon of nonlinear stochastic resonance (SR) in a complex noisy system formed by a finite number of interacting subunits driven by rectangular pulsed time periodic forces. We find that very large SR gains are obtained for…

Nonequilibrium, quasi-stationary states of a one-dimensional "hard" $\phi^4$ deterministic lattice, initially thermalized to a particular temperature, are investigated when brought into contact with a stochastic thermal bath at lower…

统计力学 · 物理学 2014-08-27 Th. Oikonomou , A. Nergis , N. Lazarides , G. P. Tsironis

This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and strain-softening. The existence, stability, and bifurcation…

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 · 物理学 2015-06-26 S. Flach , C. R. Willis

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…

斑图形成与孤子 · 物理学 2013-10-25 Dirk Hennig

A fission decay of highly excited periodically driven compound nuclei is considered in the framework of Langevin approach. We have used residual-time distribution (RTD) as the tool for studying of dynamic features in a presence of periodic…

混沌动力学 · 物理学 2007-05-23 V. P. Berezovoj , Yu. L. Bolotin , O. P. Dzyubak , V. V. Yanovsky , A. V. Zhiglo

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…

斑图形成与孤子 · 物理学 2009-10-31 Magnus Johansson

The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the…

生物物理 · 物理学 2009-11-06 Hans E. Plesser , Theo Geisel

We study a locally resonant granular material in the form of a precompressed Hertzian chain with linear internal resonators. Using an asymptotic reduction, we derive an effective nonlinear Schr\"odinger (NLS) modulation equation. This, in…

斑图形成与孤子 · 物理学 2016-06-29 Lifeng Liu , Guillaume James , Panayotis Kevrekidis , Anna Vainchtein

In this article, we investigate the stochastic resonance (SR) effect in a finite array of noisy bistable systems with nearest-neighbor coupling driven by a weak time-periodic driving force. The array is characterized by a collective…

The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise…

统计力学 · 物理学 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

We report the results of molecular dynamics simulations of an off-lattice protein model featuring a physical force-field and amino-acid sequence. We show that localized modes of nonlinear origin (discrete breathers) emerge naturally as…

无序系统与神经网络 · 物理学 2011-08-02 S. Luccioli , A. Imparato , S. Lepri , F. Piazza , A. Torcini

We investigate the long-time evolution of weakly perturbed single-site breathers (localized stationary states) in the discrete nonlinear Schroedinger (DNLS) equation. The perturbations we consider correspond to time-periodic solutions of…

斑图形成与孤子 · 物理学 2009-10-31 Magnus Johansson , Serge Aubry

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

统计力学 · 物理学 2019-12-25 Valerio Lucarini

We show that the simultaneous driving of a polariton condensate with both nonresonant and n^th order resonant pump frequencies allows for a generic mechanism of breather formation; from this, we construct for the second-order resonance a…

介观与纳米尺度物理 · 物理学 2022-07-13 Samuel N. Alperin , Natalia G. Berloff

Stochastic resonance (SR) is a coherence enhancement effect due to noise that occurs in periodically-driven nonlinear dynamical systems. A very broad range of physical and biological systems present this effect such as climate change,…

斑图形成与孤子 · 物理学 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira
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