Impulsive effects on Clifford-valued neural networks with time-varying delays: An asymptotic stability analysis

G Rajchakit, R Sriraman, P Vignesh, CP Lim - Applied Mathematics and …, 2021 - Elsevier
In this paper, we focus on the global asymptotic stability problem for Clifford-valued neural
network models with time-varying delays as well as impulsive effects. By considering …

Exponential synchronization of memristive delayed neural networks via event-based impulsive control method

D Liu, D Ye - Journal of the Franklin Institute, 2020 - Elsevier
In this paper, the exponential synchronization problem for memristive delayed neural
networks (MDNNs) subject to parameters mismatch is investigated. The designed controller …

[PDF][PDF] Existence of periodic solutions to a certain impulsive differential equation with piecewise constant arguments

ML Büyükkahraman - Eurasian Mathematical Journal, 2022 - emj.enu.kz
Eurasian Mathematical Journal Page 1 ISSN (Print): 2077-9879 ISSN (Online): 2617-2658
Eurasian Mathematical Journal 2022, Volume 13, Number 4 Founded in 2010 by the LN Gumilyov …

[图书][B] Bifurcation in autonomous and nonautonomous differential equations with discontinuities

M Akhmet, A Kashkynbayev - 2017 - Springer
This book is devoted to bifurcation theory in discontinuous dynamical systems. The main
novelty is the consideration of bifurcation in differential and hybrid equations by means of …

Invariant manifold theory for impulsive functional differential equations with applications

KEM Church - 2019 - uwspace.uwaterloo.ca
The primary contribution of this thesis is a development of invariant manifold theory for
impulsive functional differential equations. We begin with an in-depth analysis of linear …

[PDF][PDF] Finite-time nonautonomous bifurcation in impulsive systems

M Akhmet, A Kashkynbayev - Electronic Journal of Qualitative Theory …, 2016 - real.mtak.hu
The purpose of this article is to investigate nonautonomous bifurcation in impulsive
differential equations. The impulsive finite-time analogues of transcritical and pitchfork …

Almost Periodic Solutions of Recurrently Structured Impulsive Neural Networks

M Akhmet, G Erim - Discontinuity, Nonlinearity, and …, 2022 - lhscientificpublishing.com
The model under discussion is an elaborated recurrent impulsive neural network. This is the
first time in literature that the impacts are structured completely as the original neural …

Bifurcation of bounded solutions of impulsive differential equations

KEM Church, X Liu - International Journal of Bifurcation and Chaos, 2016 - World Scientific
In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of
impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction …

Nonautonomous bifurcations in nonlinear impulsive systems

M Akhmet, A Kashkynbayev - Differential Equations and Dynamical …, 2020 - Springer
In this paper, we study existence of the bounded solutions and asymptotic behavior of an
impulsive Bernoulli equations. Nonautonomous pitchfork and transcritical bifurcation …

Basic theory of impulsive quaternion-valued linear systems

A Kashkynbayev, M Mustafa - Fourth International Conference on Analysis …, 2018 - Springer
In this chapter, we consider linear quaternion-valued ordinary differential equations (QDEs)
with impulses at fixed times. We consider linear homogeneous and nonhomogeneous …