Fixed-time control of competitive complex networks
作者：
Zhang, Wanli;Yang, Xinsong* ;Yang, Shiju;Huang, Chuangxia;Alsaadi, Fuad E.
期刊：
Neural Computing and Applications ,2021年33(13):7943-7951 ISSN：0941-0643
通讯作者：
Yang, Xinsong
作者机构：
[Zhang, Wanli] Chongqing Normal Univ, Coll Comp & Informat Sci, Chongqing 401331, Peoples R China.;[Yang, Xinsong] Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610065, Peoples R China.;[Yang, Shiju] Chongqing Technol & Business Univ, Sch Comp Sci & Informat Engn, Chongqing 400067, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Dept Math, Changsha 410076, Hunan, Peoples R China.;[Alsaadi, Fuad E.] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia.
通讯机构：
[Yang, Xinsong] S;Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610065, Peoples R China.
关键词：
Controllers;Synchronization;External environments;Fixed time;Mathematical proof;Settling time;Complex networks
摘要：
This paper aims to establish several synchronization criteria of competitive complex networks (CCNs) by using fixed-time (FDT) control. In CCNs, the variations of different nodes are diverse if they are influenced by external environment. Here, we design two types of controller to deal with the different variations of nodes. Meanwhile, these designed controllers guarantee the synchronization of the CCNs in a given time. The estimated settling time improves corresponding results in the literature. Furthermore, based on rigorous mathematical proof and the structured comparison system, several FDT synchronization criteria are obtained. Some comparisons are presented to show the advantages of these new theoretical results. The validity of our theoretical results is illustrated by numerical simulations. © 2021, Springer-Verlag London Ltd., part of Springer Nature.
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Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations
作者：
Duan, Lian* ;Shi, Min;Huang, Chuangxia;Fang, Xianwen
期刊：
CHAOS SOLITONS & FRACTALS ,2021年142:110386 ISSN：0960-0779
通讯作者：
Duan, Lian
作者机构：
[Fang, Xianwen; Duan, Lian; Shi, Min] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.;[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
通讯机构：
[Duan, Lian] A;Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China.
关键词：
Complex-valued neural network;Discontinuous activation;Reaction-diffusion;Finite-/fixed-time synchronization
摘要：
In this paper, we analyze the finite-time synchronization problem between two delayed diffusive complex-valued neural networks(CVNNs) with discontinuous activations. We first establish the threshold finite-/fixed-time synchronization(FFTS) dynamics of the model by designing a novel negative exponent controller. Then we further study the finite-time synchronization via the adaptive control scheme. Some novel and useful finite-time synchronization criteria are established based on the discontinuous version of finite-time convergence theorem and Filippov regularization techniques, the upper-bound of the settling time is explicitly estimated as well. The obtained results extend some previous ones on CVNNs. Moreover, numerical simulations are performed to substantiate the effectiveness of the theoretical analysis. (C) 2020 Elsevier Ltd. All rights reserved.
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英文
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A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity
作者：
Zhang, Zaiyun* ;Liu, Zhenhai;Deng, Youjun;Li, Limei;He, Fan;...
期刊：
Journal of Evolution Equations ,2021年21(2):1477-1494 ISSN：1424-3199
通讯作者：
Zhang, Zaiyun
作者机构：
[Zhang, Zaiyun; He, Fan; Li, Limei] Hunan Inst Sci & Technol, Sch Math, Yueyang 414006, Hunan, Peoples R China.;[Liu, Zhenhai] Yulin Normal Univ, Sch Math & Stat, Yulin 537000, Guangxi, Peoples R China.;[Liu, Zhenhai] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China.;[Deng, Youjun] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Sch Math & Stat, Changsha 410014, Hunan, Peoples R China.
通讯机构：
[Zhang, Zaiyun] H;Hunan Inst Sci & Technol, Sch Math, Yueyang 414006, Hunan, Peoples R China.
关键词：
Perturbed nonlinear Schrödinger equations with Kerr law nonlinearity;Fourier restriction norm method;Low regularity;Local well-posedness (LWP)
摘要：
In this paper, we investigate the initial value problem (IVP henceforth) associated with the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity. First, by using Fourier restriction norm method and Tao’s [k,Z]-multiplier method, we establish a trilinear estimate on the Bourgain space Xs,b. Then, combining the trilinear estimate with the contraction mapping principle, we prove that IVP is locally well-posed for the initial data (u(x) , v(x)) ∈ Hs(R) × Hs(R) with s≥14. © 2020, Springer Nature Switzerland AG.
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英文
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An empirical evaluation of the influential nodes for stock market network: Chinese A-shares case
作者：
Huang, Chuangxia;Wen, Shigang;Li, Mengge;Wen, Fenghua* ;Yang, Xin*
期刊：
Finance Research Letters ,2021年38:101517 ISSN：1544-6123
通讯作者：
Yang, Xin;Wen, Fenghua
作者机构：
[Yang, Xin; Li, Mengge; Wen, Shigang; Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;[Wen, Fenghua] Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.
通讯机构：
[Yang, Xin; Wen, Fenghua] C;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.
关键词：
Granger causality test;Influential nodes;Stock market network;Weighted LeaderRank algorithm
摘要：
This paper aims to rank the influential nodes for Chinese A-share market by employing complex network analysis approach. More than one hundred directed weighted stock market networks are constructed by the methods of Engle-Granger test, Granger Causality test and moving window among 847 stocks for the time period from January 2006 to June 2019. Then the identification of important nodes is investigated by using weighted LeaderRank algorithm. The results show that: (i) the average clustering coefficient and global efficiency increase sharply in the run-up to, and during the financial crisis, and decline rapidly afterwards. (ii) 66.98% of stock market networks have scale-free property. (iii) the influential companies are generally large-capitalization companies. In addition, an interesting finding is that, top 3 influential stocks are high price stocks which are so called “hundred shares” by Chinese investors. © 2020 Elsevier Inc.
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英文
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Stability of discrete-time fractional-order time-delayed neural networks in complex field
作者：
Pratap, Anbalagan;Raja, Ramachandran;Cao, Jinde;Huang, Chuangxia* ;Niezabitowski, Michal;...
期刊：
Mathematical Methods in the Applied Sciences ,2021年44(1):419-440 ISSN：0170-4214
通讯作者：
Huang, Chuangxia
作者机构：
[Pratap, Anbalagan] Alagappa Univ, Dept Math, Karaikkudi, Tamil Nadu, India.;[Raja, Ramachandran] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, Tamil Nadu, India.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Sch Math & Stat, Changsha 410114, Peoples R China.;[Niezabitowski, Michal] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, Inst Automat Control, Control & Robot Grp, Gliwice, Poland.
通讯机构：
[Huang, Chuangxia] C;Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Sch Math & Stat, Changsha 410114, Peoples R China.
关键词：
Complex networks;Laplace transforms;Lyapunov methods;Stability criteria;Time delay;Complex-valued neural networks;Discrete-time neural networks;Fractional order;Function properties;Generalized gronwall inequalities;Neuron activation function;Stability results;Time-delayed neural networks;Neural networks
摘要：
Dynamics of discrete-time neural networks have not been well documented yet in fractional-order cases, which is the first time documented in this manuscript. This manuscript is mainly considered on the stability criterion of discrete-time fractional-order complex-valued neural networks with time delays. When the fractional-order β holds 1 < β < 2, sufficient criteria based on a discrete version of generalized Gronwall inequality and rising function property are established for ensuring the finite stability of addressing fractional-order discrete-time-delayed complex-valued neural networks (FODCVNNs). In the meanwhile, when the fractional-order β holds 0 < β < 1, a global Mittag–Leffler stability criterion of a class of FODCVNNs is demonstrated with two classes of neuron activation function by means of two different new inequalities, fractional-order discrete-time Lyapunov method, discrete version Laplace transforms as well as a discrete version of Mittag–Leffler function. Finally, computer simulations of two numerical examples are illustrated to the correctness and effectiveness of the presented stability results. © 2020 John Wiley & Sons, Ltd.
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英文
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Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator
作者：
Huang, Chuangxia* ;Yang, Hedi;Cao, Jinde*
期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S ,2021年14(4):1259-1272 ISSN：1937-1632
通讯作者：
Huang, Chuangxia;Cao, Jinde
作者机构：
[Yang, Hedi; Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
通讯机构：
[Huang, Chuangxia] C;[Cao, Jinde] S;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
关键词：
D operator;Neural networks;Proportional delay;Weighted pseudo almost periodic solution
摘要：
Taking into account the effects of multi-proportional delays and D operator, this paper investigates the stability issue of a general class of neutral-type SICNNs (shunting inhibitory cellular neural networks). With the help of fixed point theorem and some novel differential inequality techniques, we derive a new sufficient conditions to ensure the existence, uniqueness and exponential stability of weighted pseudo almost periodic solutions (WPAPS) of the considered model. The obtained main results are totally new and generalize some published results. At the end of this work, we also give some numerical simulations to support the proposed approach and demonstrate the correctness of the main conclusions.
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英文
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“四新”建设背景下的开放式实验实践教学体系研究——以数学课程为例
作者：
熊寿遥;熊璇;黄创霞
期刊：
科教导刊 ,2020年(23):101-102 ISSN：1674-6813
作者机构：
长沙理工大学数学与统计学院;[熊璇] 益阳师范学校附属小学;[熊寿遥; 黄创霞] 长沙理工大学
关键词：
“四新”建设;实践教学;开放式教学;混合式学习
摘要：
现阶段"新工科、新农科、新医科、新文科"建设赋予了数学实验实践教学新的任务和挑战。基于建构主义和人本主义学习理论,提出了现阶段开放式实验实践教学的基本路径,即以学习共同体的打造为基本目标的线上/线下混合式教学,并以数学课程为例,从教学模式和资源建设两个方面阐述了开放式数学实验教学体系的构建。
语种：
中文
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Fixed time synchronization of delayed quaternion-valued memristor-based neural networks
作者：
Chen, Dingyuan;Zhang, Weiwei* ;Cao, Jinde;Huang, Chuangxia
期刊：
Advances in Difference Equations ,2020年2020(1):1-16 ISSN：1687-1839
通讯作者：
Zhang, Weiwei
作者机构：
[Zhang, Weiwei; Chen, Dingyuan] Anqing Normal Univ, Sch Math & Phys, Anqing, Peoples R China.;[Cao, Jinde; Zhang, Weiwei] Southeast Univ, Sch Math, Nanjing, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
通讯机构：
[Zhang, Weiwei] A;[Zhang, Weiwei] S;Anqing Normal Univ, Sch Math & Phys, Anqing, Peoples R China.;Southeast Univ, Sch Math, Nanjing, Peoples R China.
关键词：
Fixed time synchronization;Lyapunov function;Quaternion;Time varying delays;Memristor-based neural networks
摘要：
This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed time stability theory are used, and new synchronization conditions are formulated to achieve the synchronization of delayed QVMNN within a fixed time based on a Lyapunov function and a suitable controller. The feasibility of the proposed method is shown through numerical simulations.
语种：
英文
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Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
作者：
Kumar, Umesh;Das, Subir;Huang, Chuangxia* ;Cao, Jinde*
期刊：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES ,2020年476(2241) ISSN：1364-5021
通讯作者：
Huang, Chuangxia;Cao, Jinde
作者机构：
[Kumar, Umesh; Das, Subir] Banaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.;[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
通讯机构：
[Huang, Chuangxia] C;[Huang, Chuangxia] H;[Cao, Jinde] S;Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.;Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
关键词：
fixed-time synchronization;settling time;Lyapunov function;quaternion-valued neural network
摘要：
In this article, sufficient conditions for fixed-time synchronization of time-delayed quaternion-valued neural networks (QVNNs) are derived. Firstly, QVNNs are decomposed into four real-valued systems. Then using the available lemmas and by constructing the Lyapunov function, the synchronization criterion for the neural networks is proposed. Activation functions satisfy the Lipschitz condition. A suitable controller has been designed to synchronize the master-slave systems. The effectiveness of the proposed result is validated through a comparison of the settling time obtained by applying two different existing lemmas to a particular problem of synchronization of two identical QVNNs with time-varying delay with the help of suitable controllers. © 2020 The Author(s).
语种：
英文
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Exponential stability of inertial neural networks involving proportional delays and non-reduced order method
作者：
Huang, Chuangxia*
期刊：
Journal of Experimental & Theoretical Artificial Intelligence ,2020年32(1):133-146 ISSN：0952-813X
通讯作者：
Huang, Chuangxia
作者机构：
[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China;[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Hunan, Peoples R China
通讯机构：
[Huang, Chuangxia] C;Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
关键词：
Artificial intelligence;Software engineering;Differential inequalities;Lyapunov function method;Non-reduced orders;proportional de-lays;Reduced-order methods;Lyapunov functions
摘要：
This paper studies a class of inertial neural networks involving proportional delays. Without adopting reduced order method, by combining Lyapunov function method with differential inequality approach, some novel assertions are gained to validate the global generalised exponential stability of the addressed model, which are new and complement some previous works. In the end, some examples with their numerical simulations are carried out to substantiate the correctness of the theoretical findings.
语种：
英文
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Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field
作者：
Pratap, Anbalagan;Raja, Ramachandran;Alzabut, Jehad;Cao, Jinde* ;Rajchakit, Grienggrai;...
期刊：
Mathematical Methods in the Applied Sciences ,2020年43(10):6223-6253 ISSN：0170-4214
通讯作者：
Cao, Jinde;Huang, Chuangxia
作者机构：
[Pratap, Anbalagan] Vel Tech High Tech Dr Rangarajan Dr Sakunthala En, Dept Math, Avadi, India.;[Raja, Ramachandran] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, Tamil Nadu, India.;[Alzabut, Jehad] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.;[Rajchakit, Grienggrai] Maejo Univ, Dept Math, Chiang Mai, Thailand.
通讯机构：
[Cao, Jinde] S;[Huang, Chuangxia] C;Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
关键词：
Lyapunov functions;Neural networks;Synchronization;Fractional order neural network;Impulsive controls;Impulsive synchronization;Inequality techniques;Lyapunov functionals;Neuron activation function;Noncommutativity;Synaptic connection strengths;Adaptive control systems
摘要：
Fractional order quaternion-valued neural networks are a type of fractional order neural networks for which neuron state, synaptic connection strengths, and neuron activation functions are quaternion. This paper is dealing with the Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field. The fractional order quaternion-valued neural networks are separated into four real-valued systems forming an equivalent four real-valued fractional order neural networks, which decreases the computational complexity by avoiding the noncommutativity of quaternion multiplication. Via some fractional inequality techniques and suitable Lyapunov functional, a brand new criterion is proposed first to ensure the Mittag-Leffler stability for the addressed neural networks. Besides, the combination of quaternion-valued adaptive and impulsive control is intended to realize the asymptotically synchronization between two fractional order quaternion-valued neural networks. Ultimately, two numerical simulations are provided to check the accuracy and validity of our obtained theoretical results. © 2020 John Wiley & Sons, Ltd.
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英文
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Lagrange exponential stability of quaternion-valued memristive neural networks with time delays
作者：
Wei, Ruoyu* ;Cao, Jinde;Huang, Chuangxia
期刊：
Mathematical Methods in the Applied Sciences ,2020年43(12):7269-7291 ISSN：0170-4214
通讯作者：
Wei, Ruoyu
作者机构：
[Wei, Ruoyu; Cao, Jinde] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
通讯机构：
[Wei, Ruoyu] S;Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.
关键词：
Chemical activation;Lyapunov functions;Time delay;Activation functions;Decomposition methods;Global exponential stability;Lagrange;Lagrange stability;Lyapunov function approaches;Simulation example;Lagrange multipliers
摘要：
This paper investigates the Lagrange global exponential stability of the quaternion-valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach, decomposition method, and some inequality skills, two novel sufficient conditions for lagrange stability of QVMNNs are provided corresponding to different types of activation functions. Lastly, simulation examples are provided to demonstrate the correctness of our theoretical results. © 2020 John Wiley & Sons, Ltd.
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英文
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Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms
作者：
Huang, Chuangxia* ;Long, Xin;Huang, Lihong* ;Fu, Si
期刊：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES ,2020年63(2):405-422 ISSN：0008-4395
通讯作者：
Huang, Chuangxia;Huang, Lihong
作者机构：
[Long, Xin; Huang, Chuangxia; Huang, L; Huang, Lihong] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.;[Fu, Si] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China.
通讯机构：
[Huang, C; Huang, L] C;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
关键词：
Nicholson's blowflies model;patch structure;density-dependent mortality term;almost periodic solution;stability
摘要：
<jats:title>Abstract</jats:title><jats:p>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. Employing the Lyapunov function method and differential inequality technique, some novel assertions are developed to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recently published literatures. Particularly, an example and its numerical simulations are arranged to support the proposed approach.</jats:p>
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英文
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A new blow-up criterion for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion
作者：
Zhang, Zaiyun* ;Li, Limei;Fang, Chunhua;He, Fan;Huang, Chuangxia;...
期刊：
Open Mathematics ,2020年18(1):194-203 ISSN：2391-5455
通讯作者：
Zhang, Zaiyun
作者机构：
[Zhang, Zaiyun; Fang, Chunhua; He, Fan; Li, Limei] Hunan Inst Sci & Technol, Sch Math, Yueyang 414006, Hunan, Peoples R China.;[Zhu, Wen; Zhang, Zaiyun] Hainan Normal Univ, Minist Educ, Key Lab Data Sci & Smart Educ, Haikou 571158, Hainan, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410014, Hunan, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410014, Hunan, Peoples R China.
通讯机构：
[Zhang, Zaiyun] H;Hunan Inst Sci & Technol, Sch Math, Yueyang 414006, Hunan, Peoples R China.;Hainan Normal Univ, Minist Educ, Key Lab Data Sci & Smart Educ, Haikou 571158, Hainan, Peoples R China.
关键词：
blow-up;N-abc family of Camassa-Holm type equation;dissipation;dispersion;35A07;35Q53
摘要：
In this paper, we investigate the Cauchy problem for the N - abc family of Camassa-Holm type equation with both dissipation and dispersion. Furthermore, we establish the blow-up result of the positive solutions in finite time under certain conditions on the initial datum. This result complements the early one in the literature, such as [E. Novruzov, Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation, J. Math. Phys. 54 (2013), no. 9, 092703, DOI 10.1063/1.4820786] and [Z.Y. Zhang, J.H. Huang, and M.B. Sun, Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited, J. Math. Phys. 56 (2015), no. 9, 092701, DOI 10.1063/1.4930198]. © 2020 Zaiyun Zhang et al., published by De Gruyter 2020.
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英文
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Global dynamics of neoclassical growth model with multiple pairs of variable delays
作者：
Huang, Chuangxia* ;Zhao, Xian;Cao, Jinde* ;Alsaadi, Fuad E.
期刊：
NONLINEARITY ,2020年33(12):6819-6834 ISSN：0951-7715
通讯作者：
Huang, Chuangxia;Cao, Jinde
作者机构：
[Zhao, Xian; Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.;[Alsaadi, Fuad E.] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia.
通讯机构：
[Huang, Chuangxia] C;[Cao, Jinde] S;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.;Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
关键词：
neoclassical growth model;attractivity;variable delay
摘要：
Taking into account the effects of multiple pairs of variable delays, this paper deals with the global dynamics for a class of differential neoclassical growth models. We aim to obtain significant insights into better understanding of how the multiple pairs of variable delays essentially affect the stability and attractiveness of the unique positive equilibrium point. First of all, we prove that every solution of the IVP (initial value problem) with respect to the addressed system exists globally and is positive and bounded above. Secondly, with the help of the methods of fluctuation lemma and analytical techniques, two delay-independent criteria and one delay-dependent criterion on the attractivity of the unique positive equilibrium point are established, which improve and complement some published results. Lastly, two examples with the numerical simulation are arranged to illustrate the effectiveness and feasibility of the obtained theoretical results. © 2020 IOP Publishing Ltd & London Mathematical Society.
语种：
英文
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带有食饵避难的Filippov型捕食-食饵模型的全局动力学
作者：
杨淼;黄立宏;王佳伏;黄创霞
期刊：
南通大学学报(自然科学版) ,2020年19(1):56-61 ISSN：1673-2340
作者机构：
长沙理工大学数学与统计学院,湖南长沙,410114;[王佳伏; 杨淼; 黄创霞; 黄立宏] 长沙理工大学
关键词：
Filippov系统;食饵避难;捕食-食饵模型;全局渐近稳定
摘要：
在经典捕食食饵模型的基础上,基于食饵避难和比例控制的阈值策略,研究了一类带有食饵避难的Filippov型捕食者-食饵模型。利用右端不连续微分方程理论,对该类模型的局部和全局动力学进行了定性分析。在一定的参数条件下,得到了模型全局渐近稳定的相关结果。
语种：
中文
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Stability of antiperiodic recurrent neural networks with multiproportional delays
作者：
Huang, Chuangxia* ;Long, Xin;Cao, Jinde
期刊：
Mathematical Methods in the Applied Sciences ,2020年43(9):6093-6102 ISSN：0170-4214
通讯作者：
Huang, Chuangxia
作者机构：
[Long, Xin; Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.
通讯机构：
[Huang, Chuangxia] C;Changsha Univ Sci & Technol, Dept Appl Math, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
关键词：
Convergence of numerical methods;Dynamical systems;Lyapunov methods;Stability criteria;A-stable;Anti-periodic solutions;antiperiodic;Inequality techniques;Mathematical analysis;proportional delay;Recurrent neural networks
摘要：
In general, a proportional function is obviously not antiperiodic, yet a very interesting fact in this paper shows that it is possible there is an antiperiodic solution for some proportional delayed dynamical systems. We deal with the issue of antiperiodic solutions for RNNs (recurrent neural networks) incorporating multiproportional delays. Employing Lyapunov method, inequality techniques and concise mathematical analysis proof, sufficient criteria on the existence of antiperiodic solutions including its uniqueness and exponential stability are built up. The obtained results provide us some lights for designing a stable RNNs and complement some earlier publications. In addition, simulations show that the theoretical antiperiodic dynamics are in excellent agreement with the numerically observed behavior. © 2020 John Wiley & Sons, Ltd.
语种：
英文
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Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
作者：
Huang, Chuangxia* ;Su, Renli* ;Hu, Yuhui*
期刊：
Journal of Biological Dynamics ,2020年14(1):633-655 ISSN：1751-3758
通讯作者：
Huang, Chuangxia;Su, Renli;Hu, Yuhui
作者机构：
[Huang, Chuangxia; Su, Renli] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Hunan, Peoples R China.;[Hu, Yuhui] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China.
通讯机构：
[Huang, CX; Su, RL] C;[Hu, Yuhui] J;Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Hunan, Peoples R China.;Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China.
关键词：
Nicholson's blowflies system;patch structure;density-dependent mortality term;almost periodic solution;global attractivity
摘要：
We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded above. What's more, by the methods of Lyapunov function and analytical techniques, we establish new criteria to check the existence and global attractivity of the positive asymptotically almost periodic solution. In the end, we arrange an example to illustrate the effectiveness and feasibility of the obtained results.
语种：
英文
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Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators
作者：
Huang, Chuangxia* ;Su, Renli;Cao, Jinde;Xiao, Songlin
期刊：
Mathematics and Computers in Simulation ,2020年171:127-135 ISSN：0378-4754
通讯作者：
Huang, Chuangxia
作者机构：
[Su, Renli; Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.;[Su, Renli; Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.;[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.;[Xiao, Songlin] Putian Univ, Sch Math & Finance, Putian 351100, Peoples R China.
通讯机构：
[Huang, Chuangxia] C;Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
关键词：
Asymptotic stability;Lyapunov methods;Stability criteria;Asymptotical stability;Asymptotically stable;High-order;Inequality techniques;Mathematical analysis;Proportional delay;Cellular neural networks
摘要：
This paper aims to deal with the asymptotic stability of high-order neutral cellular neural networks (HNCNNs) incorporating proportional delays and D operators. Employing Lyapunov method, inequality technique and concise mathematical analysis proof, sufficient criteria on the global exponential asymptotical stability of the proposed HNCNNs are obtained. The main results provide us some light for designing stable HNCNNs and complement some earlier publications. In addition, simulations show that the theoretical convergence is in excellent agreement with the numerically observed behavior. © 2019 International Association for Mathematics and Computers in Simulation (IMACS)
语种：
英文
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Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control
作者：
Zhou, Ya;Wan, Xiaoxiao;Huang, Chuangxia;Yang, Xinsong*
期刊：
Applied Mathematics and Computation ,2020年376(C):125157 ISSN：0096-3003
通讯作者：
Yang, Xinsong
作者机构：
[Zhou, Ya; Yang, Xinsong; Wan, Xiaoxiao] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China.;[Zhou, Ya; Yang, Xinsong; Wan, Xiaoxiao] Minist Educ, Key Lab Optimizat & Control, Chongqing 401331, Peoples R China.;[Huang, Chuangxia] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Dept Math, Changsha 410076, Hunan, Peoples R China.
通讯机构：
[Yang, Xinsong] C;Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China.
关键词：
Finite-time technique;Intermittent control;Synchronization of coupled networks;Stochastic perturbation
摘要：
This paper considers the finite-time synchronization of dynamic networks with nonlinear coupling strength and stochastic perturbations by using intermittent control. Since it is difficult to estimate the settling-time due to the uncertain intermittent intervals, a novel lemma is established. Then, two quantized intermittent controllers without chattering are designed, which can reduce the control cost and save channel resources. T-S fuzzy method is utilized to deal with the nonlinear coupling strength. By using Lyapunov direct method, sufficient conditions formulated by linear matrix inequalities (LMIs) are derived to ensure that the considered system can realize finite-time synchronization. Moreover, the control gains are designed. Two numerical simulations are given to show the merits of theoretical analysis. Keywords: Finite-time technique Intermittent control Synchronization of coupled networks Stochastic perturbation (C) 2020 Elsevier Inc. All rights reserved.
语种：
英文
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