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Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

The effect of temporal modulation on traveling waves in the flows in two distinct systems of rotating cylinders, both with broken azimuthal symmetry, has been investigated. It is shown that by modulating the control parameter at twice the…

In condensed matter systems, coherent backscattering and quantum interference in the presence of time-reversal symmetry lead to well-known phenomena such as weak localization (WL) and universal conductance fluctuations (UCF). Here we use…

We report experimental and theoretical investigations of coherent perfect channeling (CPC), a process that two incoming coherent waves in waveguides are completely channeled into one or two other waveguides with little energy dissipation…

Classical Physics · Physics 2017-03-16 Xiaonan Zhang , Chong Meng , Z. Yang

We show that defect-mediated turbulence can exist in media where the underlying local dynamics is deterministically chaotic. While many of the characteristics of defect-mediated turbulence, such as the exponential decay of correlations and…

Pattern Formation and Solitons · Physics 2009-11-10 Jörn Davidsen , Raymond Kapral

Scattering theory traditionally deals with the asymptotic behaviour of a system far removed from the actual scattering event. Here we present an experimental study of the one-dimensional scattering of a non-interacting condensate of 87-Rb…

We study the statistical properties of wave scattering in a disordered waveguide. The statistical properties of a "building block" of length (delta)L are derived from a potential model and used to find the evolution with length of the…

Materials Science · Physics 2014-10-13 L. S. Froufe-Perez , M. Yepez , P. A. Mello , J. J. Saenz

The focal point of this paper is to theoretically investigate and numerically validate the effect of time delay on the exponential stabilization of a class of coupled hyperbolic systems with delayed and non-delayed dampings. The class in…

Optimization and Control · Mathematics 2024-10-15 Alhabib Moumni , Mohamed Mehdaoui , Jawad Salhi , Mouhcine Tilioua

Signal transmission delays tend to destabilize dynamical networks leading to oscillation, but their dispersion contributes oppositely toward stabilization. We analyze an integro-differential equation that describes the collective dynamics…

Disordered Systems and Neural Networks · Physics 2008-04-18 Takahiro Omi , Shigeru Shinomoto

Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , H. -J. Sommers

Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and…

Machine Learning · Computer Science 2024-05-07 Andrey Veprikov , Alexander Afanasiev , Anton Khritankov

We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tsampikos Kottos

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

Adaptation and Self-Organizing Systems · Physics 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

We predict the development and propagation of the fluctuations in a perturbed ideally-expanded air jet. A non-propagating harmonic perturbation in the density, axial velocity, and pressure is introduced at the inflow with different…

Fluid Dynamics · Physics 2025-01-16 Osama A. Marzouk

We analyse the single-mode transmission of microwaves in a guide with internal random structure. The waveguide contains scatterers characterised by random heights and positions, corresponding to compositional and structural disorder. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 O. Dietz , U. Kuhl , J. C. Hernández-Herrejón , L. Tessieri

The measured distribution of the single-channel delay time of localized microwave radiation and its correlation with intensity differ sharply from the behavior of diffusive waves. The delay time is found to increase with intensity, while…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. A. Chabanov , A. Z. Genack

We consider a mean-field model of coupled phase oscillators with quenched disorder in the coupling strengths and natural frequencies. When these two kinds of disorder are uncorrelated (and when the positive and negative couplings are equal…

Statistical Mechanics · Physics 2016-03-02 Hyunsuk Hong , Kevin P. O'Keeffe , Steven H. Strogatz

Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Valentin V. Sokolov

We study scattering of a periodic wave in a string on two lumped oscillators attached to it. The equations can be represented as a driven (by the incident wave) dissipative (due to radiation losses) system of delay differential equations of…

Chaotic Dynamics · Physics 2014-10-30 Stefano Lepri , Arkady Pikovsky

The destruction of quantum coherence by environmental influences is investigated taking the damped harmonic oscillator and the dissipative two-state system as prototypical examples. It is shown that the location of the coherent-incoherent…

Statistical Mechanics · Physics 2009-10-30 Reinhold Egger , Hermann Grabert , Ulrich Weiss
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