New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays
作者：
Xu, Changjin;Liao, Maoxin;Li, Peiluan;Liu, Zixin;Yuan, Shuai
期刊：
Fuzzy Sets and Systems ,2021年411:25-47 ISSN：0165-0114
通讯作者：
Xu, Changjin(xcj403@126.com)
作者机构：
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.;[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.;[Yuan, Shuai] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China.
通讯机构：
[Changjin Xu] G;Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China
关键词：
Global exponentially stability;Pseudo almost periodic solution;Quaternion-valued fuzzy cellular neural networks;Time delay
摘要：
This article investigates quaternion-valued fuzzy cellular neural networks with delays. With the help of fixed point theory, exponential dichotomy of linear equations and related inequalities, some new sufficient conditions which guarantee the existence and global exponentially stability of pseudo almost periodic solutions to quaternion-valued fuzzy cellular neural networks with delays are established. Computer simulations are carried out to check the practicability of the obtained main results. So far, no researchers have investigated this topic. The derived results of this article are completely innovative and complement some earlier investigations to some degree. © 2020 Elsevier B.V.
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Thermal transport of carbon nanomaterials.
作者：
Chen, Xue-Kun;Chen, Ke-Qiu*
期刊：
JOURNAL OF PHYSICS-CONDENSED MATTER ,2020年32(15):153002 ISSN：0953-8984
通讯作者：
Chen, Ke-Qiu
作者机构：
[Chen, Xue-Kun; Chen, Ke-Qiu] Hunan Univ, Dept Appl Phys, Sch Phys & Elect, Changsha 410082, Peoples R China.;[Chen, Xue-Kun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Chen, Ke-Qiu] H;Hunan Univ, Dept Appl Phys, Sch Phys & Elect, Changsha 410082, Peoples R China.
关键词：
Foams;Nanostructured materials;Phonons;Carbon nano-materials;Experimental techniques;Physical mechanism;Structural defect;Theoretical methods;Thermal transport;Thermal transport properties;Thermoelectric conversion;Thermal conductivity
摘要：
The diversity of thermal transport properties in carbon nanomaterials enables them to be used in different thermal fields such as heat dissipation, thermal management, and thermoelectric conversion. In the past two decades, much effort has been devoted to study the thermal conductivities of different carbon nanomaterials. In this review, different theoretical methods and experimental techniques for investigating thermal transport in nanosystems are first summarized. Then, the thermal transport properties of various pure carbon nanomaterials including 1D carbon nanotubes, 2D graphene, 3D carbon foam, are reviewed in details and the associated underlying physical mechanisms are presented. Meanwhile, we discuss several important influences on the thermal conductivities of carbon nanomaterials, including size, structural defects, chemisorption and strain. Moreover, we introduce different nanostructuring pathways to manipulate the thermal conductivities of carbon-based nanocomposites and focus on the wave nature of phonons for controlling thermal transport. At last, we briefly review the potential applications of carbon nanomaterials in the fields of thermal devices and thermoelectric conversion. © 2020 IOP Publishing Ltd.
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Influence of multiple time delays on bifurcation of fractional-order neural networks
作者：
Xu, Changjin* ;Liao, Maoxin;Li, Peiluan;Guo, Ying;Xiao, Qimei;...
期刊：
Applied Mathematics and Computation ,2019年361:565-582 ISSN：0096-3003
通讯作者：
Xu, Changjin
作者机构：
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.;[Guo, Ying] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China.;[Xiao, Qimei] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
通讯机构：
[Xu, Changjin] G;Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.
关键词：
Neural networks;Hopf bifurcation;Stability;Fractional order;Delay
摘要：
In this article, on the basis of predecessors, works, we will propose a new fractional-order neural network model with multiple delays. Letting two different delays be bifurcation parameters and analyzing the corresponding characteristic equations of considered model, we will establish a set of new sufficient criteria to guarantee the stability and the appearance of Hopf bifurcation of fractional-order network model with multiple delays. The impact of two different delays on the stability behavior and the emergence of Hopf bifurcation of involved network model is revealed. The influence of the fractional order on the stability and Hopf bifurcation of involved model is also displayed. To check the correctness of analytical results, we perform programmer simulations with software. A conclusion is drawn in the end. The analysis results in this article are innovative and have important theoretical significance in designing neural networks. (C) 2019 Elsevier Inc. All rights reserved.
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