Results 21 to 30 of about 1,064,326 (320)

Attractors for FitzHugh-Nagumo lattice systems with almost periodic nonlinear parts

open access: yesDiscrete & Continuous Dynamical Systems - B, 2021
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
semanticscholar   +1 more source

Almost periodic solutions for a SVIR epidemic model with relapse.

open access: yesMathematical biosciences and engineering : MBE, 2021
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
semanticscholar   +1 more source

On the connection between Sp-almost periodic functions defined on time scales and ℝ

open access: yesOpen Mathematics, 2022
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
doaj   +1 more source

Integrate-and-fire models with an almost periodic input function [PDF]

open access: yes, 2016
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
semanticscholar   +1 more source

Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators [PDF]

open access: yes, 2014
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
semanticscholar   +1 more source

Almost Periodic Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1952
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 ...
openaire   +1 more source

Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]

open access: yes, 2015
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
core   +1 more source

Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks

open access: yesNonlinear Analysis, 2009
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
doaj   +1 more source

Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations [PDF]

open access: yes, 2011
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
core   +1 more source

On Hartman almost periodic functions [PDF]

open access: yesStudia Mathematica, 2006
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
openaire   +2 more sources

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