Results 101 to 110 of about 5,715 (263)
In-Plane Stability of Circular Arch Under Uniform Vertical Load Based on the Asymptotic Method
Conventional analyses often simplify vertical loads as uniform radial loads while neglecting axial force effects in the buckling analyses of arches, leading to discrepancies between theoretical predictions and actual loading conditions.
Jing Jin, Mingzhou Su
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Nonlinear permuted Granger causality
Abstract Granger causality is an established, contentious method that seeks causal temporal connections via association and precedence. While not true causal inference, it assists in mapping networks of information flow that may warrant further study.
Noah D. Gade, Jordan Rodu
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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This study addresses the stability and quasi-synchronization of fractional-order neural networks that incorporate mixed delays, system uncertainties, and external disturbances. Accordingly, a more realistic neural network model is constructed.
Tian-Zeng Li +3 more
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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A Geometric Characterization of Steady Laminar Flow
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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Uniform asymptotic stability in functional differential equations with infinite delay
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
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Continuous dependence of recurrent solutions for stochastic differential equations
Existence, uniqueness and asymptotic stability of recurrent solutions have been investigated extensively for semi-linear stochastic differential equations.
Haijing Qiu, Yan Wang
doaj
The uniform asymptotic stability of certain neutral differential-difference equations
AbstractIn this paper we give a necessary and sufficient condition for a general class of neutral differential-difference equations to be exponentially stable. This condition is expressed in terms of certain bilinear functionals which are the equivalent of quadratic Liapunov functions for finite-dimensional systems.
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