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In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model…

混沌动力学 · 物理学 2013-03-27 Gabriele Gradoni , Jen-Hao Yeh , Bo Xiao , Thomas M. Antonsen , Steven M. Anlage , Edward Ott

Conformal mapping of a slab of a two-dimensional ultrasonic crystal generate a closed geometrical arrangement of ultrasonic scatterers with appealing acoustic properties. This acoustic shell is able to confine ultrasonic modes. Some of…

流体动力学 · 物理学 2021-11-05 A. Bazan , M. Torres , F. R. Montero de Espinosa , R. Quintero-Torres , J. L. Aragon

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

混沌动力学 · 物理学 2009-05-05 Prabhakar G. Vaidya

Wave chaos is a concept which has already proved its practical usefulness in design of double-clad fibers for cladding-pumped fiber lasers and fiber amplifiers. In general, classically chaotic geometries will favor strong pump absorption…

光学 · 物理学 2007-07-10 Niels Asger Mortensen

It is well known that the strongly deformed microcavity with fully chaotic ray dynamics cannot support high-Q modes due to its fast chaotic diffusion to the critical line of refractive emission. Here, we investigate how the Q factor is…

Due to scaling laws, in microfluidic, flows are laminar. Consequently, mixing between two liquids is mainly obtained by natural diffusion which may take a long time or equivalently requires centimetre length channels. To reduce time and…

其他计算机科学 · 计算机科学 2007-11-29 O. Français , M. -C. Jullien , L. Rousseau , P. Poulichet , S. Desportes , A. Chouai , J. -P. Lefevre , J. Delaire

Chaotic dynamics are ubiquitous in nature and useful in engineering, but their geometric design can be challenging. Here, we propose a method using reservoir computing to generate chaos with a desired shape by providing a periodic orbit as…

神经与进化计算 · 计算机科学 2024-07-16 Tempei Kabayama , Yasuo Kuniyoshi , Kazuyuki Aihara , Kohei Nakajima

The realization of a paradigm chaotic system, namely the harmonically driven oscillator, in the quantum domain using cold trapped ions driven by lasers is theoretically investigated. The simplest characteristics of regular and chaotic…

量子物理 · 物理学 2009-10-31 G. P. Berman , D. F. V. James , R. J. Hughes , M. S. Gulley , M. H. Holzscheiter , G. V. Lopez

Localized waves in disordered one-dimensional materials have been studied for decades, including white-noise and correlated disorder, as well as quasi-periodic disorder. How these wave phenomena relate to those in crystalline (periodic…

材料科学 · 物理学 2017-07-20 X. Lei , D. P. Varn , J. P. Crutchfield

A billiard in the form of a stadium with periodically perturbed boundary is considered. Two types of such billiards are studied: stadium with strong chaotic properties and a near-rectangle billiard. Phase portraits of such billiards are…

混沌动力学 · 物理学 2007-05-23 Alexander Loskutov , Alexei Ryabov

A nonlinear model of modulational processes in the subsonic regime involving a linearly unstable wave and two linearly damped waves with different damping rates in a plasma is studied numerically. We compute the maximum Lyapunov exponent as…

混沌动力学 · 物理学 2015-06-12 Rodrigo A. Miranda , Erico L. Rempel , Abraham C. -L. Chian

We analyze nonlinear aspects of the self-consistent wave-particle interaction using Hamiltonian dynamics in the single wave model, where the wave is modified due to the particle dynamics. This interaction plays an important role in the…

混沌动力学 · 物理学 2021-07-27 J. V. Gomes , M. C. de Sousa , R. L. Viana , I. L. Caldas , Y. Elskens

Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of…

The results of chaos simulations in Josephson Fluxonic Diode (JFD) subject to the magnetic field, rf driving and dc biasing currents in the RCSJ model are reported. The dynamic behavior of this nonlinear device is mapped as a function of…

混沌动力学 · 物理学 2017-10-12 Hamed Mehrara , Alireza Erfanian , Farshid Raissi

This study investigates chaotic diffusion in multi-scale turbulence driven by nonlinear wave-particle resonance coupling. Turbulent waves with distinct characteristic wavelengths across scales coherently interact with charged particles when…

等离子体物理 · 物理学 2025-04-22 Yueheng Huang , Nong Xiang , Jiale Chen , Zong Xu

Chaotic dynamics can be quite heterogeneous in the sense that in some regions the dynamics are unstable in more directions than in other regions. When trajectories wander between these regions, the dynamics is complicated. We say a chaotic…

动力系统 · 数学 2022-10-10 Yoshitaka Saiki , Hiroki Takahasi , James A. Yorke

Waveguide quantum electrodynamics studies photon-mediated interactions of quantum emitters in a one-dimensional radiation channel. Although signatures of such interactions have been observed previously in a variety of physical systems,…

Recent advances in nanophotonics have brought about coherent light sources with chaotic circular polarization; a low-dimensional chaotic evolution of optical spin was evidenced in laser diodes. Here we propose a mechanism that gives rise to…

介观与纳米尺度物理 · 物理学 2016-11-30 S. S. Gavrilov

The fields in rectangular and circular waveguides are derived from Maxwell's equations by superposition of plane waves. Subsequently the results are applied to explain cavity modes. Interaction of the cavity modes with a charged particle…

加速器物理 · 物理学 2012-01-17 E. Jensen

We study the propagation of waves in quasi-one-dimensional finite periodic systems whose classical (ray) dynamics is diffusive. By considering a random matrix model for a chain of $L$ identical chaotic cavities, we show that its average…

无序系统与神经网络 · 物理学 2016-04-26 Felipe Barra , Vincent Pagneux , Jaime Zuñiga