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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 of Eigen’s Quasispecies Model
Bulletin of Mathematical Biology, 2018 We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to infinity and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove the convergence of the trajectories, as well as the convergence of the equilibrium solutions. We give the analogous results for
Dalmau, Joseba
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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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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.
Griso, Georges +2 more
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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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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 proximity to higher order nonlinear differential equations
Advances in Nonlinear Analysis, 2022 The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations.
Astashova Irina +3 more
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Asymptotic behavior of nonlinear diffusions [PDF]
Mathematical Research Letters, 2003 We describe the asymptotic behavior as t → ∞ of the solution of ut = ∆pu in IRN, for (2N +1)/(N +1) ≤ p < N and non-negative, integrable initial data. Optimal rates in Lq , q = 2 − 1/(p − 1) for the convergence towards a self-similar profile corresponding to a solution with Dirac distribution initial data are found.
Del Pino, M., Dolbeault, J.
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