Attractors for FitzHugh-Nagumo lattice systems with almost periodic nonlinear parts
For FitzHugh-Nagumo lattice dynamical systems (LDSs) many authors studied the existence of global attractors for deterministic systems [ 4 , 34 , 41 , 43 ] and the existence of global random attractors for stochastic systems [ 23 , 24 , 27 , 48 , 49 ...
Amira M. Boughoufala, Ahmed Y. Abdallah
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Almost periodic solutions for a SVIR epidemic model with relapse.
This paper is devoted to a nonautonomous SVIR epidemic model with relapse, that is, the recurrence rate is considered in the model. The permanent of the system is proved, and the result on the existence and uniqueness of globally attractive almost ...
Y. Xing, Hong-Xu Li
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On the connection between Sp-almost periodic functions defined on time scales and ℝ
It is well known that a sufficient and necessary condition for a continuous function gg to be almost periodic on time scale T{\mathbb{T}} is the existence of an almost periodic function ff on R{\mathbb{R}} such that ff is an extension of gg.
Yang Hao, Li Hong-Xu
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Integrate-and-fire models with an almost periodic input function [PDF]
We investigate leaky integrate-and-fire models (LIF models for short) driven by Stepanov and μ -almost periodic functions. Special attention is paid to the properties of the firing map and its displacement, which give information about the spiking ...
P. Kasprzak +2 more
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Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators [PDF]
We prove the existence of a complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrodinger operator H=−Δ+bH=−Δ+b acting in RdRd when the potential bb is real and either smooth periodic, or generic
L. Parnovski, R. Shterenberg
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Almost Periodic Functions [PDF]
One of the aims in the study of almost periodic functions on a group is to generalize the Fejer summation process, whereby the Fourier series may be summed to yield the function. This has been achieved partially by Bochner-von Neumann [1] and Maak [2; 3].J But in [3] Maak says "In general it is not possible to give a summation procedure which may be ...
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Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]
We investigate the automorphism groups of $\aleph\_0$-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function
Tsankov, Todor, Yaacov, Itaï Ben
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Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks
In this paper we discuss the existence and uniqueness of a k-pseudo almost periodic sequence solutions of a discrete time neural network. We give several sufficient conditions for the exponential and global attractivity of the solution.
S. Abbas
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Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations [PDF]
The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard equation x′′ + f(x)x′ + g(x) = F(t), where F : T !
B. A. Shcherbakov +16 more
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On Hartman almost periodic functions [PDF]
We consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in Rd or Zd. We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to
Cohen, Guy, Losert, Viktor
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