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A degenerate wave equation with time-varying delay in the boundary control input is considered. The well-posedness of the system is established by applying the semigroup theory. The boundary stabilization of the degenerate wave equation is…

偏微分方程分析 · 数学 2024-10-22 Menglan Liao

We propose general methodology of deterministic single-mode quantum interaction nonlinearly modifying single quadrature variable of a continuous variable system. The methodology is based on linear coupling of the system to ancillary systems…

We study a one-dimensional ladder of two coupled XXZ spin chains and identify several distinct gapless symmetry-enriched critical phases. These have the same unbroken symmetries and long-wavelength description, but cannot be connected…

强关联电子 · 物理学 2024-04-30 Suman Mondal , Adhip Agarwala , Tapan Mishra , Abhishodh Prakash

Recently, many evidences demonstrate that partial Differential Phase Shift Keying (i.e., when the delay inside the Delay Interferometer is shorter than the symbol period) can partially compensate the signal deformation caused by spectrally…

光学 · 物理学 2012-05-08 Er'el Granot , Shalva Ben-Ezra

The consequences of the opening of a phason gap in incommensurate systems are studied on a simple model, the discrete frustrated $\phi^4$-model. Analytical considerations and numerical results show that there is a very weak phase transition…

统计力学 · 物理学 2007-05-23 A. N. Rubtsov , T. Janssen

Discretizing variational principles, as opposed to discretizing differential equations, leads to discrete-time analogues of mechanics, and, systematically, to geometric numerical integrators. The phase space of such variational…

数学物理 · 物理学 2015-05-13 Charles Cuell , George W. Patrick

We in this paper study the nonexpansive operators equipped with arbitrary metric and investigate the connections between firm nonexpansiveness, cocoerciveness and averagedness. The convergence of the associated fixed-point iterations is…

最优化与控制 · 数学 2022-10-11 Feng Xue

This paper addresses the problem of frequency-weighted extended balanced truncation for discrete and continuous-time linear time-invariant plants. We show that the frequency-weighted discrete-time plant admits block-diagonal solutions to…

系统与控制 · 电气工程与系统科学 2025-12-03 Sribalaji C. Anand , Henrik Sandberg

The potential of constraints on the angle alpha of the Unitarity Triangle from studies of B0 -> pi+ pi- pi0 decays is reviewed. The experimental inputs needed for an isospin analysis are starting to become available. The precision of…

高能物理 - 唯象学 · 物理学 2010-11-23 Jan Stark

Fourier analysis plays a major role in the analysis and understanding of many phenomena in physics and contemporary engineering. However, students, who have often discovered this notion through numerical tools, do not necessarily understand…

物理教育 · 物理学 2019-09-04 Kamal Hammani , Julien Fatome , Christophe Finot

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among…

斑图形成与孤子 · 物理学 2009-11-13 Kyriakos Hizanidis , Yannis Kominis , Nikolaos K. Efremidis

We develop a formalism to analyze the behaviour of pulse--coupled identical phase oscillators with a specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the…

无序系统与神经网络 · 物理学 2007-05-23 P. K. Mohanty , Antonio Politi

Interferometry provides highly sensitive access to optical phase and is central to much of modern metrology and phase imaging methods. Conventional implementations, however, often face trade-offs between mechanical stability and…

Explicit step-truncation tensor methods have recently proven successful in integrating initial value problems for high-dimensional partial differential equations (PDEs). However, the combination of non-linearity and stiffness may introduce…

数值分析 · 数学 2023-03-21 Abram Rodgers , Daniele Venturi

A long-standing issue in the parallel-in-time community is the poor convergence of standard iterative parallel-in-time methods for hyperbolic partial differential equations (PDEs), and for advection-dominated PDEs more broadly. Here, a…

数值分析 · 数学 2024-11-19 H. De Sterck , S. Friedhoff , O. A. Krzysik , Scott P. MacLachlan

Time-resolved Faraday rotation measurements have proved transformative in the investigation of spin dynamics in semiconductors. In materials with spin lifetimes which are on the order of, or greater than, the laser repetition time, the…

介观与纳米尺度物理 · 物理学 2015-06-23 Christopher J. Trowbridge , Vanessa Sih

All-reflective interferometer configurations have been proposed for the next generation of gravitational wave detectors, with diffractive elements replacing transmissive optics. However, an additional phase noise creates more stringent…

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

流体动力学 · 物理学 2016-10-05 Andres Goza , Tim Colonius

We demonstrate two approaches for unbalanced interferometers as time-bin qubit analyzers for quantum communication, robust against mode distortions and polarization effects as expected from free-space quantum communication systems including…

The reduction of a continuous Markov process with multiple metastable states to a discrete rate process is investigated in the presence of slow time dependent parameters such as periodic external forces or slowly fluctuating barrier…

统计力学 · 物理学 2009-11-10 Peter Talkner , Jerzy Luczka