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Monostability and Multistability for Almost-Periodic Solutions of Fractional-Order Neural Networks With Unsaturating Piecewise Linear Activation Functions

IEEE Transactions on Neural Networks and Learning Systems, 2020
Since the unsaturating activation function is unbounded, more complex dynamics may exist in neural networks with this kind of activation function. In this article, monostability and multistability results of almost-periodic solutions are developed for ...
P. Wan, Dihua Sun, Min Zhao, Hang Zhao
semanticscholar   +3 more sources

Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions

Neural Processing Letters, 2018
Chuangxia Huang   +4 more
semanticscholar   +3 more sources

Stability and Stabilization of Almost Periodic Piecewise Linear Systems With Dwell Time Uncertainty

IEEE Transactions on Automatic Control, 2023
This article is dedicated to the stability and stabilization of almost periodic piecewise linear systems (APPLSs) with the uncertain dwell time of subsystems.
Chenchen Fan   +3 more
semanticscholar   +1 more source

Holomorphic Almost-Periodic Functions

Acta Applicandae Mathematica, 2001
This is a survey paper concerning results on holomorphic almost-periodic functions and mappings in one and several complex variables, up today, with special attention payed to the achievements of the Kharkov school. There are presented results concerning almost-periodic distributions and currents, a.p. holomorphic chains and divisors, extension of a.p.
Favorov, S. Yu., Rashkovskii, A. Yu.
openaire   +2 more sources

Stability analysis of inertial neural networks: A case of almost anti‐periodic environment

Mathematical methods in the applied sciences, 2022
In this paper, a class of inertial neural networks with time delays is considered. By developing an approach based on differential inequality techniques coupled with Lyapunov function method, some assertions are demonstrated to guarantee the exponential ...
Adnène Arbi, Najeh Tahri
semanticscholar   +1 more source

Existence and global exponential stability of almost periodic solution for quaternion‐valued high‐order Hopfield neural networks with delays via a direct method

Mathematical methods in the applied sciences, 2020
This paper deals with the existence and global exponential stability of almost periodic solutions for quaternion‐valued high‐order Hopfield neural networks with delays by a direct approach.
Yongkun Li, Jianglian Xiang
semanticscholar   +1 more source

Asymptotically Weyl almost periodic functions in Lebesgue spaces with variable exponents

, 2020
In this paper, we introduce and analyze several different notions of Weyl almost periodic functions and Weyl ergodic components in Lebesgue spaces with variable exponent $L^{p(x)}.$ We investigate the invariance of (asymptotical) Weyl almost periodicity ...
M. Kosti'c
semanticscholar   +1 more source

Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms

Canadian mathematical bulletin, 2019
Taking into account the effects of patch structure and nonlinear density-dependent mortality terms, we explore a class of almost periodic Nicholson’s blowflies model in this paper.
Chuangxia Huang   +3 more
semanticscholar   +1 more source

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