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Global exponential synchronization of delayed memristive neural networks with reaction–diffusion terms

Neural Networks, 2020
This paper investigates the global exponential synchronization problem of delayed memristive neural networks (MNNs) with reaction-diffusion terms. First, by utilizing the pinning control technique, two novel kinds of control methods are introduced to achieve synchronization of delayed MNNs with reaction-diffusion terms.
Zhenyuan Guo, Yuting Cao, Shiping Wen
exaly   +3 more sources

Pattern formation of reaction–diffusion system with chemotaxis terms

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
In this paper, we systematically study two-species reaction–diffusion system with chemotaxis terms. We, first, compare conditions for chemotaxis-driven instability and Turing instability. It follows that conditions for chemotaxis-driven instability are the generalization of conditions for Turing instability without chemotaxis.
Qian Cao, Jianhua Wu
openaire   +2 more sources

Hopf bifurcation of a delayed reaction–diffusion model with advection term

Nonlinear Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Li, Wei, Dan
openaire   +1 more source

Pinning synchronization of stochastic neutral memristive neural networks with reaction–diffusion terms

Neural Networks, 2023
This paper investigates the pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms. Firstly, two novel pinning controllers, which contain both current state and past state, are designed. Subsequently, in terms of Green's theorem, inequality technology, stochastic analysis theory and pinning control ...
Wu, Xiang, Liu, Shutang, Wang, Huiyu
openaire   +3 more sources

Time-independent reaction–diffusion equation with a discontinuous reactive term

Computational Mathematics and Mathematical Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levashova, N. T.   +2 more
openaire   +2 more sources

Anti-synchronization of delayed memristive neural networks with leakage term and reaction–diffusion terms

Knowledge-Based Systems, 2021
Abstract In this paper, the global exponential anti-synchronization problem is studied for an array of delayed memristive neural networks (DMNNs) with leakage term and reaction–diffusion terms. Firstly, to investigate the exponential anti-synchronization problems, we will design two different types of controllers for the proposed systems.
Jiahai Wang
exaly   +2 more sources

Bilinear control system with the reaction‐diffusion term satisfying Newton's law

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2006
AbstractIn this paper, we discuss a parabolic system governed by bilinear control, modeled according to Newton's Law. At first we prove that the system is exactly null controllable in long time T > 0 by locally distributed bilinear control and we further prove the exact null controllability in long time T > 0 of the semilinear parabolic equation ...
Lin, Ping, Lei, Peidong, Gao, Hang
openaire   +1 more source

State Estimation for Delayed Genetic Regulatory Networks With Reaction–Diffusion Terms

IEEE Transactions on Neural Networks and Learning Systems, 2018
This paper addresses the problem of state estimation for delayed genetic regulatory networks (DGRNs) with reaction-diffusion terms using Dirichlet boundary conditions. The nonlinear regulation function of DGRNs is assumed to exhibit the Hill form. The aim of this paper is to design a state observer to estimate the concentrations of mRNAs and proteins ...
Xian Zhang   +3 more
openaire   +2 more sources

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