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Asymptotic Behavior of Memristive Circuits [PDF]
Entropy, 2019 The interest in memristors has risen due to their possible application both as memory units and as computational devices in combination with CMOS. This is in part due to their nonlinear dynamics, and a strong dependence on the circuit topology.
Francesco Caravelli
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Asymptotic Behavior for Textiles [PDF]
SIAM Journal on Mathematical Analysis, 2020 The authors prove a homogenization result for textiles considered as individual fibers, modeled by beams being in contact with each other. They first define the appropriate Frenet-Serret frame for a unique beam and an appropriate decomposition of the displacement in a beam. They prove estimates on the elements of this decomposition.
Georges Griso +2 more
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Cesaro Limits for Fractional Dynamics
Fractal and Fractional, 2021 We study the asymptotic behavior of random time changes of dynamical systems. As random time changes we propose three classes which exhibits different patterns of asymptotic decays.
Yuri Kondratiev, José da Silva
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
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Asymptotic behaviour of solutions of quasilinear differential-algebraic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Vu Hoang Linh, Ngo Nga, Nguyen Tuan
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Comptes Rendus. Mathématique, 2023 In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result ...
Jia, Xiaobiao, Li, Xuemei
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Asymptotic Behavior of the Kleinberg Model [PDF]
Physical Review Letters, 2009 We study Kleinberg navigation (the search of a target in a d-dimensional lattice, where each site is connected to one other random site at distance r, with probability proportional to r^{-a}) by means of an exact master equation for the process. We show that the asymptotic scaling behavior for the delivery time T to a target at distance L scales as (ln
Carmi, Shai +3 more
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The Asymptotic Behavior of Grassmannian Codes [PDF]
IEEE Transactions on Information Theory, 2012 The iterated Johnson bound is the best known upper bound on a size of an error-correcting code in the Grassmannian $\mathcal{G}_q(n,k)$. The iterated Schönheim bound is the best known lower bound on the size of a covering code in $\mathcal{G}_q(n,k)$. We use probabilistic methods to prove that both bounds are asymptotically attained for fixed $k$ and ...
Simon R. Blackburn, Tuvi Etzion
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Advances in Difference Equations, 2021 In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficient and necessary conditions for the asymptotic
Shyam Sundar Santra +3 more
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Asymptotic Behavior of a Set-Statistic [PDF]
Discrete & Computational Geometry, 2000 Let \(X_1,X_2, \dots\) be an iid sequence of random points in \(\mathbb{R}^d\). In this interesting paper, the authors consider centered empirical measures \(\varphi_n\), \(n\in\mathbb{N}\), defined as \[ \varphi_n= \sum^n_{i=1}\|X_i -\overline X_n\|\delta \left(\cdot- {X_i-\overline X_n\over\|X_i-\overline X_n\|}\right) \] (here \(\overline X_n={1 ...
BONETTI, MARCO, R. A. Vitale
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