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The diffraction-like process displayed by a spatially localized matter wave is here analyzed in a case where the free evolution is frustrated by the presence of hard-wall-type boundaries (beyond the initial localization region). The…

量子物理 · 物理学 2019-01-28 J. Tounli , A. Alvarado , A. S. Sanz

In this article, we investigate the existence and properties of time-periodic solutions for damped evolutionary partial differential equations subject to periodic forcing. Particular emphasis is placed on configurations where the energy…

偏微分方程分析 · 数学 2026-05-19 Camille Laurent , Ivonne Rivas

We consider a modification of the so-called phase-field crystal (PFC) equation introduced by K.R. Elder et al. This variant has recently been proposed by P. Stefanovic et al. to distinguish between elastic relaxation and diffusion time…

偏微分方程分析 · 数学 2013-06-26 Maurizio Grasselli , Hao Wu

We consider a version of the stationary phase method in one dimension of A. Erd\'elyi, allowing the phase to have stationary points of non-integer order and the amplitude to have integrable singularities. We provide a complete proof and we…

偏微分方程分析 · 数学 2014-12-19 F. Ali Mehmeti , F. Dewez

We propose time-domain boundary integral and coupled boundary integral and variational formulations for acoustic scattering by linearly elastic obstacles. Well posedness along with stability and error bounds with explicit time dependence…

数值分析 · 数学 2018-04-23 George C. Hsiao , Tonatiuh Sanchez-Vizuet , Francisco--Javier Sayas

The state-of-the-art error correcting codes are based on large random constructions (random graphs, random permutations, ...) and are decoded by linear-time iterative algorithms. Because of these features, they are remarkable examples of…

无序系统与神经网络 · 物理学 2016-08-31 Silvio Franz , Michele Leone , Andrea Montanari , Federico Ricci-Tersenghi

We present detailed simulations addressing recent electronic interference experiments, where a metallic gate is used to locally modify the Fermi wave-length of the charge carriers. Our numerical calculations are based on a solution of the…

介观与纳米尺度物理 · 物理学 2009-10-31 A. P. Jauho , K. N. Pichugin , A. F. Sadreev

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

动力系统 · 数学 2023-10-10 Oskar A. Sultanov

A simplified analysis is performed on the Bode-type filtering sensitivity trade-off integrals, which capture the sensitivity characteristics of the estimate and estimation error with respect to the process input and estimated signal in…

系统与控制 · 电气工程与系统科学 2022-04-11 Neng Wan , Dapeng Li , Lin Song , Naira Hovakimyan

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is…

数值分析 · 数学 2015-03-05 Daniele Boffi , Nicola Cavallini , Lucia Gastaldi

This is a study of certain finite element methods designed for convection-dominated, time-dependent partial differential equations. Specifically, we analyze high order space-time tensor product finite element discretizations, used in a…

数值分析 · 数学 2013-10-30 Randolph E. Bank , Maximilian S. Metti

We study local bifurcations of periodic solutions to time-periodic (systems of) integrodifference equations over compact habitats. Such infinite-dimensional discrete dynamical systems arise in theoretical ecology as models to describe the…

动力系统 · 数学 2025-10-15 Christian Aarset , Christian Pötzsche

In frameworks of the phenomenological approach we analyze of the phase diagram of mixed compounds. We obtain space groups of symmetry of the real structures as result of phase transition from close-packed degenerate structure. The theory of…

统计力学 · 物理学 2007-05-23 B. R. Gadjiev

This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem is governed by two coupled fourth-order nonlinear partial…

I describe the use of techniques based on composite rotations to develop controlled phase gates in which the effects of weak Ising couplings are suppressed. A tailored composite phase gate is described which both suppresses weak couplings…

量子物理 · 物理学 2007-05-23 Jonathan A. Jones

This paper focuses on the combined radar and communications problem and conducts a thorough analytical investigation on the effect of phase and frequency change on the communication and sensing functionality. First, we consider the…

信息论 · 计算机科学 2024-05-03 Tian Han , Rajitha Senanayake , Peter Smith , Jamie Evans , William Moran , Robin Evans

The improved method of intermittent data analysis is proposed. It exploits, in addition to the standard density moments, the information on the bin-bin correlations, observed in the data and expressed in terms of the density correlators.…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Ziaja

In randomized benchmarking of quantum logical gates, partial twirling can be used for simpler implementation, better scaling, and higher accuracy and reliability. For instance, for two-qubit gates, single-qubit twirling is easier to realize…

量子物理 · 物理学 2022-06-22 Kirill Dubovitskii , Yuriy Makhlin

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Valentin V. Sokolov