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We consider small perturbations of expanding maps induced by skew-product mappings whose base dynamics are not invertible necessarily. Adopting a previously developed perturbative spectral approach, we show stability of the densities of the…

动力系统 · 数学 2017-10-30 Yushi Nakano

Context. There have been a long string of efforts to understand the source of the variability observed in microquasars, especially concerning the elusive High-Frequency Quasi-Periodic Oscillation. These oscillations are among the fastest…

高能天体物理现象 · 物理学 2015-06-12 F. H. Vincent , H. Meheut , P. Varniere , T. Paumard

The anomalous scaling phenomena of three-dimensional passive scalar turbulence are studied using high resolution direct numerical simulation. The inertial range scaling exponents of the passive scalar increment and the scalar dissipation…

chao-dyn · 物理学 2009-10-30 Shiyi Chen , Nianzheng Cao

We explore various models for the pattern forming instability in a laser-driven cloud of cold two-level atoms with a plane feedback mirror. Focus is on the combined treatment of nonlinear propagation in a diffractively thick medium and the…

原子物理 · 物理学 2016-06-16 W. J. Firth , I. Krešić , G. Labeyrie , A. Camara , P. Gomes , T. Ackemann

We investigate the modulational instability of plane waves in quadratic nonlinear materials with linear and nonlinear quasi-phase-matching gratings. Exact Floquet calculations, confirmed by numerical simulations, show that the periodicity…

斑图形成与孤子 · 物理学 2009-11-07 J. F. Corney , Ole Bang

We numerically model fiber amplifier performance near and slightly above the mode instability threshold. These results are compared with recently published experimental work. Using weakly amplitude modulated pump light we obtain qualitative…

光学 · 物理学 2013-01-21 Arlee V. Smith , Jesse J. Smith

Frequency modulation by perturbation is the essential trait that differentiates limit cycle oscillators from phase oscillators. We studied networks of identical limit cycle oscillators whose frequencies are modulated sensitively by the…

适应与自组织系统 · 物理学 2015-05-13 Masashi Tachikawa

We apply spectral stability theory to investigate nonlinear gravity waves in the atmosphere. These waves are determined by modulation equations that result from Wentzel-Kramers-Brillouin theory. First, we establish that plane waves, which…

流体动力学 · 物理学 2018-05-25 Mark Schlutow , Erik Wahlén , Philipp Birken

We investigate the dynamics of modulational instability (MI) in $\cal PT$-symmetric fiber Bragg gratings with a phenomenon of intermodulation known as four-wave mixing (FWM). Although the impact of FWM has already been analyzed in the…

光学 · 物理学 2024-11-05 I. Inbavalli , K. Tamilselvan , A. Govindarajan , T. Alagesan , M. Lakshmanan

We report experimental study of the secondary modulational instability of a one-dimensional non-linear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatio-temporal defects are…

斑图形成与孤子 · 物理学 2009-11-07 Nicolas Garnier , Arnaud Chiffaudel , Francois Daviaud

The existence of bistability in quantum optical systems remains a intensely debated open question beyond the mean-field approximation. Quantum fluctuations are finite-size corrections to the mean-field approximation used because the full…

量子物理 · 物理学 2022-02-22 Hadiseh Alaeian , Berislav Buča

We address the modulation instability of the Hirota equation in the presence of stochastic spatial incoherence and linear time-dependent amplification/attenuation processes via the Wigner function approach. We show that the modulation…

斑图形成与孤子 · 物理学 2023-10-26 Al-Tarazi Assaubay , Alejandro J. Castro , Antonio A. Valido

Turbulence is a challenging feature common to a wide range of complex phenomena. Random fibre lasers are a special class of lasers in which the feedback arises from multiple scattering in a one-dimensional disordered cavity-less medium.…

Fluctuation in fluorescence emission of immobilized single molecule is typically ascribed to the chromophore's intrinsic structural conformations and the influence of local environmental factors. Despite extensive research over several…

化学物理 · 物理学 2024-08-07 Aranyak Sarkar , Vinu Namboodiri , Manoj Kumbhakar

We study gravitationally unstable, transient, diffusive boundary layers in porous media using modal and nonmodal stability methods. Using nonmodal stability theory, we demonstrate that both the onset of linear instabilities and the shape of…

流体动力学 · 物理学 2019-03-05 Don Daniel , Nils Tilton , Amir Riaz

With reference to spatially non-local nematic liquid crystals, we develop a theory of optical spatial solitons and modulational instability in anisotropic media with arbitrarily large birefringence. Asymmetric spatial profiles and…

光学 · 物理学 2007-05-23 Claudio Conti , Marco Peccianti , Gaetano Assanto

Models with vector fields acquiring a non-vanishing vacuum expectation value along one spatial direction have been proposed to sustain a prolonged stage of anisotropic accelerated expansion. Such models have been used for realizations of…

天体物理学 · 物理学 2009-04-08 Burak Himmetoglu , Carlo R. Contaldi , Marco Peloso

Cross-Phase Modulation (XPM) constitutes a critical nonlinear impairment in high-capacity Wavelength Division Multiplexing (WDM) systems, significantly driven by intensity fluctuations (IFs) that evolve due to chromatic dispersion. This…

信号处理 · 电气工程与系统科学 2026-01-08 Ravneel Prasad , Emanuele Viterbo

Transmittance fluctuations in turbulent atmospheric channels result in quadrature excess noise which limits applicability of continuous-variable quantum communication. Such fluctuations are commonly caused by beam wandering around the…

A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media. An evolution equation for the Wigner transform is derived from a nonlinear…

斑图形成与孤子 · 物理学 2009-11-07 B. Hall , M. Lisak , D. Anderson , R. Fedele , V. E. Semenov