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Hybrid multisynchronization of coupled multistable memristive neural networks with time delays

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Hybrid multisynchronization of coupled multistable memristive neural networks with time delays. / Yao, Wei; Wang, Chunhua; Cao, Jinde; Sun, Yichuang; Zhou, Chao.

In: Neurocomputing, Vol. 363, 21.10.2019, p. 281-294.

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Yao, Wei ; Wang, Chunhua ; Cao, Jinde ; Sun, Yichuang ; Zhou, Chao. / Hybrid multisynchronization of coupled multistable memristive neural networks with time delays. In: Neurocomputing. 2019 ; Vol. 363. pp. 281-294.

Bibtex

@article{74c364bc206c43f084ed7f0462c09c62,
title = "Hybrid multisynchronization of coupled multistable memristive neural networks with time delays",
abstract = "In this paper, we focus on synchronization issue of coupled multistable memristive neural networks (CMMNNs) with time delay under multiple stable equilibrium states. First, we build delayed CMMNNs consisting of one master subnetwork without controller and N−1 identical slave subnetworks with controllers, and every subnetwork has n nodes. Moreover, this paper investigates multistability of delayed CMMNNs with continuous nonmonotonic piecewise linear activation function (PLAF) owning 2r+2 corner points. By using the theorems of differential inclusion and fixed point, sufficient conditions are derived such that master subnetwork of CMMNNs can acquire (r+2)n exponentially stable equilibrium points, stable periodic orbits or hybrid stable equilibrium states. Then, this paper proposes hybrid multisynchronization of delayed CMMNNs related with various external inputs under multiple stable equilibrium states for the first time. There exist (r+2)n hybrid multisynchronization manifolds in CMMNNs with different initial conditions and external inputs. Finally, two numerical simulations are given to illustrate the effectiveness of the obtained results.",
keywords = "Controller, External inputs, Hybrid multisynchronization, Memristive neural networks, Multistability",
author = "Wei Yao and Chunhua Wang and Jinde Cao and Yichuang Sun and Chao Zhou",
year = "2019",
month = oct,
day = "21",
doi = "10.1016/j.neucom.2019.07.014",
language = "English",
volume = "363",
pages = "281--294",
journal = "Neurocomputing",
issn = "0925-2312",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Hybrid multisynchronization of coupled multistable memristive neural networks with time delays

AU - Yao, Wei

AU - Wang, Chunhua

AU - Cao, Jinde

AU - Sun, Yichuang

AU - Zhou, Chao

PY - 2019/10/21

Y1 - 2019/10/21

N2 - In this paper, we focus on synchronization issue of coupled multistable memristive neural networks (CMMNNs) with time delay under multiple stable equilibrium states. First, we build delayed CMMNNs consisting of one master subnetwork without controller and N−1 identical slave subnetworks with controllers, and every subnetwork has n nodes. Moreover, this paper investigates multistability of delayed CMMNNs with continuous nonmonotonic piecewise linear activation function (PLAF) owning 2r+2 corner points. By using the theorems of differential inclusion and fixed point, sufficient conditions are derived such that master subnetwork of CMMNNs can acquire (r+2)n exponentially stable equilibrium points, stable periodic orbits or hybrid stable equilibrium states. Then, this paper proposes hybrid multisynchronization of delayed CMMNNs related with various external inputs under multiple stable equilibrium states for the first time. There exist (r+2)n hybrid multisynchronization manifolds in CMMNNs with different initial conditions and external inputs. Finally, two numerical simulations are given to illustrate the effectiveness of the obtained results.

AB - In this paper, we focus on synchronization issue of coupled multistable memristive neural networks (CMMNNs) with time delay under multiple stable equilibrium states. First, we build delayed CMMNNs consisting of one master subnetwork without controller and N−1 identical slave subnetworks with controllers, and every subnetwork has n nodes. Moreover, this paper investigates multistability of delayed CMMNNs with continuous nonmonotonic piecewise linear activation function (PLAF) owning 2r+2 corner points. By using the theorems of differential inclusion and fixed point, sufficient conditions are derived such that master subnetwork of CMMNNs can acquire (r+2)n exponentially stable equilibrium points, stable periodic orbits or hybrid stable equilibrium states. Then, this paper proposes hybrid multisynchronization of delayed CMMNNs related with various external inputs under multiple stable equilibrium states for the first time. There exist (r+2)n hybrid multisynchronization manifolds in CMMNNs with different initial conditions and external inputs. Finally, two numerical simulations are given to illustrate the effectiveness of the obtained results.

KW - Controller

KW - External inputs

KW - Hybrid multisynchronization

KW - Memristive neural networks

KW - Multistability

UR - http://www.scopus.com/inward/record.url?scp=85069663934&partnerID=8YFLogxK

U2 - 10.1016/j.neucom.2019.07.014

DO - 10.1016/j.neucom.2019.07.014

M3 - Article

AN - SCOPUS:85069663934

VL - 363

SP - 281

EP - 294

JO - Neurocomputing

JF - Neurocomputing

SN - 0925-2312

ER -