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We study modulational instability in nonlinear arrays of subwavelength metallic nanoparticles, and analyze numerically nonlinear scenarios of the instability development. We demonstrate that modulational instability can lead to the…

光学 · 物理学 2012-06-01 Roman E. Noskov , Pavel A. Belov , Yuri S. Kivshar

We address necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons appear as rings of multiple out-of-phase bright spots. We…

We study the structure and stability of nonlinear impurity modes in the discrete nonlinear Schr{\"o}dinger equation with a single on-site nonlinear impurity emphasizing the effects of interplay between discreteness, nonlinearity and…

斑图形成与孤子 · 物理学 2009-11-10 Panayotis G. Kevrekidis , Yuri S. Kivshar , Alexander S. Kovalev

In this brief report, we consider parametrically driven bright solitons in the vicinity of the anti-continuum limit. We illustrate the mechanism through which these solitons become unstable due to the collision of the phase mode with the…

斑图形成与孤子 · 物理学 2009-11-11 H. Susanto , Q. E. Hoq , P. G. Kevrekidis

The effects of magnetic and non-magnetic impurities in spin-Peierls systems are investigated allowing for lattice relaxation and quantum fluctuations. We show that, in isolated chains, strong bonds form next to impurities, leading to the…

强关联电子 · 物理学 2009-10-31 P. Hansen , D. Augier , J. Riera , D. Poilblanc

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright solitons, which are…

We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong XPM interaction, vector solitons with…

We observe experimentally higher-order solitons in waveguide arrays with defocusing saturable nonlinearity. Such solitons can comprise several in-phase bright spots and are stable above a critical power threshold. We elucidate the impact of…

Spiral wave patterns observed in models of cardiac arrhythmias and chemical oscillations develop alternans and stationary line defects, which can both be thought of as period-doubling instabilities. These instabilities are observed on…

动力系统 · 数学 2019-05-30 Stephanie Dodson , Bjorn Sandstede

We consider a chain of coupled pendula pairs, where each pendulum is connected to the nearest neighbors in the longitudinal and transverse directions. The common strings in each pair are modulated periodically by an external force. In the…

斑图形成与孤子 · 物理学 2017-11-22 E. Destyl , S. P. Nuiro , D. E. Pelinovsky , P. Poullet

Inspired by the experimental results of Cuevas et al. (Physical Review Letters 102, 224101 (2009)), we consider theoretically the behavior of a chain of planar rigid pendulums suspended in a uniform gravitational field and subjected to a…

斑图形成与孤子 · 物理学 2015-06-22 Y. Xu , T. J. Alexander , H. Sidhu , P. G. Kevrekidis

The effect of impurities in a two-dimensional lattice of coupled nonlinear chaotic oscillators and their ability to control the dynamical behavior of the system are studied. We show that a single impurity can produce synchronized…

混沌动力学 · 物理学 2009-11-07 M. Weiss , Tsampikos Kottos , T. Geisel

Based on a microscopic model, we develop a continuum description for a suspension of microscopic self propelled particles. With this continuum description we study the role of long-range interactions in destabilizing macroscopic ordered…

统计力学 · 物理学 2018-03-14 Zahra Fazli , Ali Najafi

Experiments on a chain of coupled pendula driven periodically at one end demonstrate the existence of a novel regime which produces an output frequency at an odd fraction of the driving frequency. The new stationary state is then obtained…

斑图形成与孤子 · 物理学 2009-11-13 Ramaz Khomeriki , Jerome Leon

We study the localization properties of a test dipole feeling the disordered potential induced by dipolar impurities trapped at random positions in an optical lattice. This random potential is marked by correlations which are a convolution…

量子气体 · 物理学 2013-09-20 M. Larcher , C. Menotti , B. Tanatar , P. Vignolo

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · 物理学 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In particular, vector solitons composed of dipole and…

We study the influence of spinless impurities on a frustrated magnet featuring a spin-density wave (stripe) phase by means of Monte Carlo simulations. We demonstrate that the interplay between the impurities and an order parameter that…

无序系统与神经网络 · 物理学 2018-08-08 Shashikant Singh Kunwar , Arnab Sen , Thomas Vojta , Rajesh Narayanan

We introduce discrete multivortex solitons in a ring of nonlinear oscillators coupled to a central site. Regular clusters of discrete vortices appear as a result of mode collisions and we show that their stability is determined by global…

光学 · 物理学 2011-12-19 Daniel Leykam , Anton S. Desyatnikov

We introduce a new class of self-sustained states, which may exist as single solitons or form multisoliton clusters, in driven passive cylindrical microresonators. Remarkably, such states are stabilized by the radiation they emit, which…

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