Deeper but smaller: Higher-order interactions increase linear stability but shrink basins. [PDF]
Sci Adv, 2023 A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this question through linear stability analysis, less is known about how higher ...
Zhang Y +4 more
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On linear stability and syzygy stability
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 In previous works, the authors investigated the relationships between linear stability of a generated linear series |V| on a curve C, and slope stability of the syzygy vector bundle MV,L:=ker(V⊗OC→L)\documentclass[12pt]{minimal} \usepackage{amsmath ...
Abel Castorena +2 more
semanticscholar +3 more sources
Linear Stability of a Viscoelastic Liquid Film on an Oscillating Plane [PDF]
NanomaterialsThis paper investigates the linear stability of the liquid film of Oldroyd-B fluid on an oscillating plate. The time-dependent Orr–Sommerfeld boundary-value problem is formulated through the assumption of a normal modal solution and the introduction of ...
Jing Zhang +3 more
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Evaluation of the Linear Dimensional Stability of CAD/CAM Milled, 3-D Printed, and Heat-cured Denture Base Polymers Subjected to Thermocycling and Immersion in Artificial Saliva: An In vitro study [PDF]
International Journal of Prosthodontics and Restorative Dentistry, 2023 Purpose: The purpose of the study was to evaluate and compare the linear dimensional stability of three types of denture base polymers—computer-aided designing/computer-aided manufacturing (CAD/CAM) resin, three-dimensional (3D) printed resin, and heat ...
Mariya Dimitrova +2 more
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Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes [PDF]
Communication on Applied Mathematics and Computation, 2020 Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinuous Galerkin discretizations have robustness issues when trying to solve the simple density wave propagation example for the compressible Euler equations.
Hendrik Ranocha, G. Gassner
semanticscholar +1 more source
Sensors, 2021 Connected vehicle (CV) technologies are changing the form of traditional traffic models. In the CV driving environment, abundant and accurate information is available to vehicles, promoting the development of control strategies and models.
Ziwei Yi +5 more
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On the Stability of a Convective Flow with Nonlinear Heat Sources
Mathematics, 2023 The linear stability of a convective flow in a vertical fluid layer caused by nonlinear heat sources in the presence of cross-flow through the walls of the channel is investigated in this paper.
Armands Gritsans +3 more
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Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
IEEE Transactions on Automatic Control, 2018 Frédéric Gouaisbaut +1 more
exaly +2 more sources
Linear stability of slowly rotating Kerr black holes [PDF]
Inventiones Mathematicae, 2019 We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure gauge term.
Dietrich Häfner, P. Hintz, A. Vasy
semanticscholar +1 more source
Linear stability analysis of a nuclear reactor using the lumped model [PDF]
Nuclear Technology and Radiation Protection, 2016 The stability analysis of a nuclear reactor is an important aspect in the design and operation of the reactor. A stable neutronic response to perturbations is essential from the safety point of view. In this paper, a general methodology has been
Kale Vivek A. +3 more
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