Characterizing elastic constants of anisotropic materials by spherical indentation method
作者：
Liao, Yanguo;Xie, Shuibo
期刊：
Current Applied Physics ,2023年53:9-18 ISSN：1567-1739
通讯作者：
Xie, SB
作者机构：
[Xie, Shuibo; Liao, Yanguo] Univ South China, Sch Resource Environm & Safety Engn, Hengyang 421001, Peoples R China.;[Liao, Yanguo] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Xie, Shuibo] Univ South China, Sch Civil Engn, Hengyang 421001, Peoples R China.
通讯机构：
[Xie, SB ] U;Univ South China, Sch Civil Engn, Hengyang 421001, Peoples R China.
关键词：
Elastic parameters /constants;Finite element (FE);Indentation modulus;Spherical indentation;Three dimensional (3D);Transversely isotropic materials
摘要：
By the theoretical analysis and the finite element (FE) method, a new model for measuring the elastic constants of transversely isotropic materials has been proposed from spherical indentation. A theoretical analysis of the spherical indentation modulus for the materials is presented. Extensive spherical indentation tests were implemented by three dimensional (3D) FE simulations. By fitting the simulation results, the analytical relationship correlating the elastic parameters with the indentation moduli at three different indentation orientation angles (0°, 45°, and 90°) was set up. The effectiveness of the proposed method was examined by a series of numerical indentation experiments. It is found that the calculated values by the proposed method are well consistent with the input elastic parameters. The sensitivity of the calculated elastic parameters to the experimental data was analyzed. Simultaneously, this method was applied to carbon fiber materials. The results calculated by the method proposed in this paper were compared with results obtained by the theoretical model and experimental measurement to verify the effectiveness of this method. Thus the proposed method is practiced and could be used to identify the elastic properties of transversely isotropic materials. © 2023
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英文
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Intrinsic thermoelectric properties in biphenylene nanoribbons and effect of lattice defects
作者：
Xie, Zhong-Xiang;Chen, Xue-Kun;Yu, Xia;Deng, Yuan-Xiang;Zhang, Yong;...
期刊：
计算材料学(英文) ,2023年220:112041 ISSN：2057-3960
通讯作者：
Xie, Zhong-Xiang(xiezxhu@163.com)
作者机构：
[Xie, Zhong-Xiang; Jia, Pin-Zhen; Deng, Yuan-Xiang; Yu, Xia; Zhang, Yong] Hunan Inst Technol, Sch Sci, Hengyang 421002, Peoples R China.;[Chen, Xue-Kun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Zhou, Wu-Xing] Hunan Univ Sci & Technol, Sch Mat Sci & Engn, Xiangtan 411201, Peoples R China.
通讯机构：
[Zhong-Xiang Xie; Xia Yu; Pin-Zhen Jia] S;School of Science, Hunan Institute of Technology, Hengyang 421002,China
关键词：
Biphenylene nanoribbons;Lattice defects;Thermoelectric properties
摘要：
Intrinsic thermoelectric properties in biphenylene nanoribbons (BNRs) and effect of lattice defects are investigated by employing the nonequilibrium Green's function. A comparative analysis on intrinsic thermoelectric properties between graphene nanoribbons (GNRs) and BNRs is performed. Results show that although the Seebeck coefficient of BNRs is lower than that of the corresponding GNRs, BNRs exhibit better thermoelectric properties than the corresponding GNRs due to the lower phonon thermal conductance of BNRs. It is also shown that the lattice defects can enhance the maximum ZT (ZTmax) in armchair BNRs (ABNRs) and zigzag BNRs (ZGNRs), where the ZTmax can be up to 1.1 and 0.4 at T = 300 K, respectively. Moreover, such the enhancement in defective ZBNRs is more remarkable than that in defective ABNRs. Theoretical analysis reveals that this enhancement of the ZTmax originates from the substantial reduction of phonon thermal conductance due to the strong backscattering by the highly localized phonon states around the lattice defects. © 2023 Elsevier B.V.
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英文
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On the equivalence between a new family of APN quadrinomials and the power APN functions
作者：
Shi, Chenmiao;Peng, Jie;Zheng, Lijing;Lu, Shihao
期刊：
Cryptography and Communications ,2023年15(2):351-363 ISSN：1936-2447
通讯作者：
Peng, Jie(jpeng@shnu.edu.cn)
作者机构：
[Peng, Jie; Shi, Chenmiao; Lu, Shihao] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.;[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Jie Peng] M;Mathematics and Science College of Shanghai Normal University, Shanghai, China
关键词：
APN function;Gold function;EA-equivalence;CCZ-equivalence
摘要：
Finding new (up to CCZ-equivalence) constructions of APN functions is one of the important but difficult topics in the study of cryptographic functions. Up to now, only 6 infinite families of power APN functions and 14 infinite families of APN polynomials are known. Although the CCZ-equivalence between power APN functions has been completely characterized, a similar theoretical analysis between polynomial APN functions and power APN functions is still missing. In this paper we prove that, in dimension not multiple of 3, a recently introduced family of APN quadrinomials is CCZ-inequivalent to any power APN function. Moreover, we prove that a more general family of APN functions is EA-equivalent to this family. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
语种：
英文
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Cryptographic functions with interesting properties from CCZ-equivalence
作者：
Li, Yanjun;Kan, Haibin;Peng, Jie;Zheng, Lijing
期刊：
Cryptography and Communications ,2023年15(4):831-844 ISSN：1936-2447
通讯作者：
Peng, J
作者机构：
[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;[Kan, Haibin] Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.;[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Peng, J ] S;Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
关键词：
Bent functions;Plateaued functions;Bent component;CCZ-equivalence
摘要：
In the last decades, because of their significantly important applications, a large number of papers were devoted to constructing cryptographic functions with interesting properties by various methods. In this paper, our motivation is to construct more families of such functions up to EA-equivalence (extended affine equivalence) by using the properties of CCZ-equivalence (Carlet-Charpin-Zinoviev equivalence). To this end, we present two CCZ-equivalent forms, and show their applications on bent functions, vectorial functions having the maximum number of bent components, and vectorial plateaued functions with single amplitude, respectively. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
语种：
英文
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More classes of permutation hexanomials and pentanomials over finite fields with even characteristic
作者：
Zhang, Tongliang;Zheng, Lijing;Hao, Xinghui
期刊：
Finite Fields and Their Applications ,2023年91:102250 ISSN：1071-5797
通讯作者：
Zheng, LJ
作者机构：
[Hao, Xinghui; Zhang, Tongliang] North China Univ Sci & Technol, Coll Sci, Tangshan 063000, Hebei, Peoples R China.;[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Zheng, LJ ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Finite field;Permutation hexanomial and pentanomial
摘要：
In this paper, we further push the studies on permutation polynomials over the finite fields Fq2 with q=2m. We find the coefficients of f(x)=x+a1xs1(q−1)+1+a2xs2(q−1)+1+a3xs3(q−1)+1+a4xs4(q−1)+1+a5xs5(q−1)+1 over Fq2 that lead f(x) to be a permutation for [Formula presented] in case of a5=0, and find more new (si) such that f(x) is a permutation hexanomial of Fq2 with coefficients in F4. Some well-known results are covered by our results. The numerical results suggest that the sufficient conditions we find in the first class of permutation pentanomials are also necessary. © 2023 Elsevier Inc.
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英文
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Influence of a Mo interlayer on the oxidation behavior of a Cr coating on a Zr alloy substrate
作者：
Ma, Jiaojiao;Tan, Jie;Zhou, Yue;Meng, Chuiyi;Wang, Hui;...
期刊：
Corrosion Science ,2023年218:111192 ISSN：0010-938X
通讯作者：
He, XJ;Tan, J
作者机构：
[Yang, Weiqi; He, Xiujie; Zhou, Yue; Meng, Chuiyi; Ma, Jiaojiao] Sun Yat sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Guangdong, Peoples R China.;[Tan, Jie] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Wang, Hui] Chengdu Univ, Inst Adv Study, Interdisciplinary Mat Res Ctr, Chengdu 610106, Sichuan, Peoples R China.
通讯机构：
[He, XJ ] S;[Tan, J ] U;Sun Yat sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Guangdong, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Mo interlayer;Coating;Accident tolerant fuel;Oxidation;Zirconium alloys
摘要：
Cr-based coatings with or without a Mo interlayer were deposited on a Zr substrate by multi-arc ion plating, and the effect of the Mo interlayer on the oxidation behavior of the coatings at different time lengths (maximum 90 min) at 1160 °C was investigated. Atomic scale characterization confirms that, on the one hand, the Mo interlayer prevents the Cr coating from reacting with the Zr substrate to form the ZrCr2 Laves phase and, on the other hand, the solid solution structure generated due to Mo doping effectively guarantees the integrity of the Cr2O3 oxide layer and the residual Cr coating. © 2023 Elsevier Ltd
语种：
英文
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Resonant power absorption in nonuniform toroidal helicon plasma sources
作者：
Du, Dan;Qiao, Guan Jin;Pan, Guang Zu;Yang, Kai Jian;Xiang, Dong;...
期刊：
Fusion Engineering and Design ,2022年176 ISSN：0920-3796
通讯作者：
Gong, XY
作者机构：
[Du, Dan] Univ South China, Dept Math & Phys, Hengyang 421001, Peoples R China.;[Yang, Kai Jian; Qiao, Guan Jin] Univ South China, Dept Elect Engn, Hengyang 421001, Peoples R China.;[Pan, Guang Zu; Gong, Xue Yu; Xiang, Dong] Univ South China, Dept Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Gong, XY] Univ South China, Hengyang, Peoples R China.
通讯机构：
[Gong, XY ] U;Univ South China, Hengyang, Peoples R China.
关键词：
Double-saddle antenna;Helicon plasma;Resonant power absorption;Standing wave
摘要：
In this paper, we present numerical simulation results that indicate that under certain conditions, a double-saddle antenna can excite helicon modes that resonate with the driving frequency in a nonuniform toroidal plasma, and m=1 and m=2 resonant standing helicon waves can separate or coexist in the toroidal plasma. The power absorption associated with the resonant standing wave is much larger than the power absorption associated with the nonresonant eigenmodes and accounts for most of the RF power deposited into the plasma. By adjusting the antenna frequency and wavenumber kz, the wave field structure, such as the standing wave pattern, the partially travelling-partially standing wave structure and the standing wave structure with amplitude modulation, can be controlled, which means that one can possibly control the resonant power absorption through careful antenna geometry and frequency design. © 2022
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英文
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Interlayer coupling-induced controllable negative differential thermal resistance in graphene/h-BN van der Waals heterostructure
作者：
Chen, Xue-Kun;Tan, Jia-Ling;Pang, Min;Xie, Zhong-Xiang;Zhou, Wu-Xing;...
期刊：
Applied Physics Letters ,2022年121(14):142203 ISSN：0003-6951
通讯作者：
Xie, Zhong-Xiang(xiezxhu@163.com);Zhou, Wu-Xing(wuxingzhou@hnu.edu.cn);Liu, Jun(lj332125065@163.com)
作者机构：
[Pang, Min; Chen, Xue-Kun; Liu, Jun; Tan, Jia-Ling] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Xie, Zhong-Xiang] Hunan Inst Technol, Dept Math & Phys, Hengyang 421002, Peoples R China.;[Zhou, Wu-Xing] Hunan Univ Sci & Technol, Sch Mat Sci & Engn, Xiangtan 411201, Peoples R China.;[Zhou, Wu-Xing] Hunan Univ Sci & Technol, Hunan Prov Key Lab Adv Mat New Energy Storage & Co, Xiangtan 411201, Peoples R China.
通讯机构：
[Xie, Z.-X.] D;[Zhou, W.-X.; Liu, J.] S;School of Mathematics and Physics, China;Department of Mathematics and Physics, China;School of Materials Science and Engineering, China
摘要：
The van der Waals (vdW) heterostructures employing graphene and hexagonal boron nitride (h-BN) have emerged as a typical system for building emergent two-dimensional devices, such as atomically thin transistors or capacitors. Herein, we study the nonlinear thermal transport in such vdW heterostructure by non-equilibrium molecular dynamics simulations. The results show that an obvious negative differential thermal resistance (NDTR) phenomenon can be observed under small temperature bias when the interlayer coupling becomes stronger. The vibrational spectra analysis manifests that the phonon filtering mechanism induced by interlayer coupling greatly hinders the interfacial thermal transport. To obtain the optimum conditions, the dependence of NDTR on the system length, lateral width, external temperature, and defect density is taken into account. Our findings extend the phonon filtering mechanism to thermal information processing. © 2022 Author(s).
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英文
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Influence of two simultaneous driven currents on multiple tearing modes in tokamak plasmas
作者：
Zhang, Yemin;Xiang, Dong;Cao, Jinjia;Guo, Kang;Du, Dan;...
期刊：
AIP Advances ,2022年12(11):115016 ISSN：2158-3226
通讯作者：
Xiang, Dong(xiangdong@usc.edu.cn)
作者机构：
[Zhang, Yemin; Xiang, Dong; Guo, Kang; Gong, Xueyu; Cao, Jinjia] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Du, Dan] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Dong Xiang] S;School of Nuclear Science and Technology, University of South China , Hengyang 421001, People’s Republic of China
摘要：
The influence of two driven currents simultaneously and respectively imposed on the m/n = 2/1 and 3/2 resistive tearing modes in tokamak plasmas is researched by using a three-dimensional toroidal magnetohydrodynamic code CLT. The simulation results show that using two suitable driven currents can better suppress multiple tearing modes than using only one of the two driven currents. When the two suitable driven currents are simultaneously imposed on both the m/n = 2/1 and 3/2 modes, respectively, the two modes may be well suppressed. If only one of the driven currents is imposed on the m/n = 2/1 mode, then the m/n = 2/1 mode may be well suppressed but the m/n = 3/2 mode may be not. Conversely, if only the other of the two driven currents is imposed on the m/n = 3/2 mode, both the two modes may be not suppressed. Moreover, it should be noted that the parameters of using two driven currents to suppress multiple tearing modes must be appropriate; otherwise, some new modes (such as m/n = 5/3 mode) may be excited and grown due to the interaction among the driven currents and multiple modes. © 2022 Author(s).
语种：
英文
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More classes of permutation quadrinomials from Niho exponents in characteristic two
作者：
Zheng, Lijing;Liu, Baixiang;Kan, Haibin* ;Peng, Jie;Tang, Deng
期刊：
Finite Fields and Their Applications ,2022年78:101962 ISSN：1071-5797
通讯作者：
Kan, Haibin
作者机构：
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Zheng, Lijing] Sci & Technol Commun Secur Lab, Chengdu 610041, Sichuan, Peoples R China.;[Liu, Baixiang; Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;[Kan, Haibin] Key Lab Informat Sci Electromagnet Waves MoE, Shanghai 200433, Peoples R China.
通讯机构：
[Kan, Haibin] F;[Kan, Haibin] S;[Kan, Haibin] K;Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.
关键词：
Dickson polynomial;Finite field;Niho exponent;Permutation quadrinomial;Unit circle
摘要：
In this paper, we characterize the coefficients of f(x)=x+a1xs1(2m−1)+1+a2xs2(2m−1)+1+a3xs3(2m−1)+1 over F22m that lead f(x) to be a permutation of F22m for the following three cases: 1) [Formula presented]; 2) [Formula presented], where m, k are two positive integers; 3) [Formula presented]. We transform the problems for the first two cases in the investigation of some (2k+1)-th degree equations with variable in the unit circle. The numerical results suggest that the sufficient conditions that we find in this paper on the coefficients are also necessary. It turned out that some well-known results can be recovered (or covered) by our results. © 2021 Elsevier Inc.
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英文
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First-principles determination of high thermal conductivity of PCF-graphene: A comparison with graphene
作者：
Chen, Xue-Kun;Hu, Xiao-Yan;Jia, Pin-Zhen;Xie, Guo-Feng
期刊：
Applied Physics Letters ,2022年121(18):182205 ISSN：0003-6951
通讯作者：
Jia, Pin-Zhen(pinzhenjia@hnu.edu.cn);Xie, Guo-Feng(gfxie@xtu.edu.cn)
作者机构：
[Chen, Xue-Kun; Hu, Xiao-Yan] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Jia, Pin-Zhen] Hunan Inst Technol, Dept Math & Phys, Hengyang 421002, Peoples R China.;[Xie, Guo-Feng] Hunan Univ Sci & Technol, Sch Mat Sci & Engn, Xiangtan 411201, Peoples R China.;[Xie, Guo-Feng] Hunan Univ Sci & Technol, Hunan Prov Key Lab Adv Mat New Energy Storage & C, Xiangtan 411201, Peoples R China.
通讯机构：
[Pin-Zhen Jia] D;[Guo-Feng Xie] S;School of Materials Science and Engineering & Hunan Provincial Key Laboratory of Advanced Materials for New Energy Storage and Conversion, Hunan University of Science and Technology , Xiangtan 411201, China<&wdkj&>Department of Mathematics and Physics, Hunan Institute of Technology , Hengyang 421002, China
摘要：
Poly-cyclooctatetraene framework (PCF)-graphene, an emerging all-sp2 hybridized two-dimensional (2D) carbon allotrope, possesses an intrinsic direct bandgap (0.77 eV) and excellent mechanical properties, indicating great potential in nanoelectronics. Understanding the thermal transport behavior of PCF-graphene is of vital importance for determining the reliability of related devices based on it. In this work, the thermal transport in PCF-graphene is systematically studied using the Boltzmann transport theory combined with first-principles calculations. The results show that the room-temperature thermal conductivity of PCF-graphene with only considering three-phonon scattering is as high as 1587.3 W/m K along the zigzag direction, and decreases by 27.1% (1157.4 W/m K) when including four-phonon scattering, indicating the four-phonon scattering plays a non-negligible role in in thermal transport. Although the thermal conductivity of PCF-graphene is not as large as that in graphene, it still exceeds most common 2D materials and makes it suitable for applications in the thermal management of microelectronics. Analyses of phonon group velocity and phonon scattering rates are conducted to reveal the high thermal conductivity of PCF. Moreover, as the temperature increases to 800 K, the reduction of thermal conductivity is close to 50% after including four-phonon scattering. The analysis of phonon group velocity and phonon scattering rates are conducted to reveal the underlying mechanism. Our results provide insights for constructing high-thermal-conductivity materials based on 2D carbon allotropes. © 2022 Author(s).
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英文
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A smooth soliton solution and a periodic cuspon solution of the Novikov equation
作者：
Zheng, Xiaoxiao;Xiao, Qizhen* ;Ouyang, Zigen
期刊：
Applied Mathematics Letters ,2021年112:106786 ISSN：0893-9659
通讯作者：
Xiao, Qizhen
作者机构：
[Xiao, Qizhen; Zheng, Xiaoxiao; Ouyang, Zigen] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao, Qizhen] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Novikov equation;Bifurcation method;Soliton solution;Periodic cuspon solution
摘要：
In this paper, solutions of a Novikov equation are discussed based on the bifurcation method of dynamical systems. Through establishing a Hamiltonian function, the existence of a smooth soliton solution and a periodic cuspon solution are established for the corresponding traveling wave system of the Novikov equation. Numerical results are carried out to illustrate the feasibility of the main results. All these theories can be seen to fill the gap of the literatures Li (2014) and Pan and Li (2016). (C) 2020 Elsevier Ltd. All rights reserved.
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英文
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Shape and scaling of the mean-velocity profile in thermally-stratified plane-Couette flows
作者：
Zhang, Dongrong
期刊：
Fluid Dynamics Research ,2021年53(6):065507 ISSN：0169-5983
通讯作者：
Zhang, Dongrong(zdrzeo@gmail.com)
作者机构：
[Zhang, Dongrong] School of Mathematics and Physics, University of South China, Hengyang;421001, China;Continuum Physics Unit, Okinawa Institute of Science and Technology, Graduate University, Onna, Okinawa;904-0495, Japan;Fluid Mechanics Unit, Okinawa Institute of Science and Technology, Graduate University, Onna, Okinawa
通讯机构：
[Dongrong Zhang] S;School of Mathematics and Physics, University of South China, Hengyang 421001, People's Republic of China<&wdkj&>Continuum Physics Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan<&wdkj&>Fluid Mechanics Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan
关键词：
mean-velocity profile;Monin-Obukhov similarity theory;spectral link;thermally-stratified plane Couette flow
摘要：
It has long been known from measurements that buoyant motions cause the mean-velocity profile (MVP) in thermally-stratified, wall-bounded turbulent flows to significantly deviate from its constant-density counterpart. Theoretical analysis has restricted attention to an 'intermediate layer' of the MVP, akin to the celebrated 'log layer' in the constant-density case. Here, for thermally-stratified plane-Couette flows, we study the shape and scaling of the whole MVP. We elucidate the mechanisms that dictate the shape of the MVP by using the framework of the spectral link (Gioia et al 2010 Phys. Rev. Lett. 105 184501), and obtain scaling laws for the whole MVP by generalizing the Monin-Obukhov similarity theory. © 2021 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
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英文
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Bifurcation Properties for Fractional Order Delayed BAM Neural Networks
作者：
Xu, Changjin* ;Liao, Maoxin;Li, Peiluan;Guo, Ying;Liu, Zixin
期刊：
Cognitive Computation ,2021年13(2):322-356 ISSN：1866-9956
通讯作者：
Xu, Changjin
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.;[Guo, Ying] Cent South Univ, Sch Automat, Changsha 410083, Peoples R China.;[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.
通讯机构：
[Xu, Changjin] G;Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
关键词：
BAM neural networks;Stability;Hopf bifurcation;Fractional order;Delay;Leakage delay
摘要：
In the past several decades, many papers involving the stability and Hopf bifurcation of delayed neural networks have been published. However, the results on the stability and Hopf bifurcation for fractional order neural networks with delays and fractional order neural networks with leakage delays are very rare. This paper is concerned with the stability and the existence of Hopf bifurcation of fractional order BAM neural networks with or without leakage delay. The Laplace transform, stability and bifurcation theory of fractional-order differential equations and Matlab software will be applied. The stability condition and the sufficient criterion of existence of Hopf bifurcation for fractional order BAM neural networks with delay (leakage delay) are established. It is found that when the sum of two delays (leakage delay) crosses a critical value, then a Hopf bifurcation will appear. The obtained results play an important role in designing neural networks. Also the derived results are new and enrich the bifurcation theory of fractional order delayed differential equations.
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英文
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On constructions and properties of (n,m)-functions with maximal number of bent components
作者：
Zheng, Lijing;Peng, Jie* ;Kan, Haibin;Li, Yanjun;Luo, Juan
期刊：
DESIGNS CODES AND CRYPTOGRAPHY ,2020年88(10):2171-2186 ISSN：0925-1022
通讯作者：
Peng, Jie
作者机构：
[Zheng, Lijing; Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Zheng, Lijing; Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Fudan Zhongan Joint Lab Blockchain & Informat Sec, Shanghai, Peoples R China.;[Kan, Haibin] Shanghai Inst Adv Commun & Data Sci, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Inst Intelligent Elect & Syst, Shanghai 200433, Peoples R China.;[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Peng, Jie] S;Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
关键词：
Bent functions;Vectorial bent;Algebraic degree;Differential uniformity;Walsh spectrum
摘要：
For any positive integers n= 2 k and m such that m≥ k, in this paper we show that the maximal number of bent components of any (n,m)-function is equal to 2 m- 2 m-k, and for those attaining the equality, their algebraic degree is at most k. It is easily seen that all (n,m)-functions of the form G(x) = (F(x) , 0) , with F(x) being any vectorial bent (n,k)-function, have the maximal number of bent components. Those simple functions G are called trivial in this paper. We show that for a power (n,n)-function, it has the maximal number of bent components if and only if it is trivial. We also consider the (n,n)-function of the form F(x)=xh(Tren(x)), where h:F2e→F2e, and show that F has the maximal number of bent components if and only if e= k, and h is a permutation over F2e. It essentially shows that all previously known nontrivial functions with maximal number of bent components are subclasses of the class described by F. Based on the Maiorana–McFarland class, we present constructions of large numbers of (n,m)-functions with maximal number of bent components for any integer m in bivariate representation. We also determine the differential spectra and Walsh spectra of the constructed functions. It turns out that our constructions can also provide new plateaued vectorial functions. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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英文
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Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic
作者：
Zheng, Lijing;Kan, Haibin* ;Peng, Jie
期刊：
Finite Fields and Their Applications ,2020年68:101754 ISSN：1071-5797
通讯作者：
Kan, Haibin
作者机构：
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Inform Proc, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Engn Res Ctr Blockchain Shanghai, Fudan Zhongan Joint Lab Blockchain & Inform Secur, Shanghai 200433, Peoples R China.;[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Guilin Rd 100, Shanghai 200234, Peoples R China.;[Zheng, Lijing] Guangxi Univ Sci & Technol, Coll Comp Sci & Commun Engn, Liuzhou 545006, Peoples R China.
通讯机构：
[Kan, Haibin] F;[Kan, Haibin] S;Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Inform Proc, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain Shanghai, Fudan Zhongan Joint Lab Blockchain & Inform Secur, Shanghai 200433, Peoples R China.
关键词：
Finite field;Niho exponent;Permutation trinomial
摘要：
In this paper, we consider two classes of permutation trinomials with Niho-type exponents over the finite field F22m. Some sufficient conditions are obtained to characterize the coefficients of the permutation trinomials. Our numerical result suggests that those sufficient conditions for one class are also necessary. © 2020
语种：
英文
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Ensemble disease gene prediction by clinical sample-based networks
作者：
Luo, Ping;Tian, Li-Ping;Chen, Bolin;Xiao, Qianghua;Wu, Fang-Xiang*
期刊：
BMC Bioinformatics ,2020年21(2):1-12 ISSN：1471-2105
通讯作者：
Wu, Fang-Xiang
作者机构：
[Luo, Ping; Wu, Fang-Xiang] Univ Saskatchewan, Div Biomed Engn, Saskatoon, SK S7N 5A9, Canada.;[Tian, Li-Ping] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China.;[Chen, Bolin] Northwestern Polytech Univ, Sch Comp Sci, Xian 710072, Peoples R China.;[Xiao, Qianghua] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Wu, Fang-Xiang] Univ Saskatchewan, Dept Comp Sci, Saskatoon, SK S7N 5C9, Canada.
通讯机构：
[Wu, Fang-Xiang] U;Univ Saskatchewan, Div Biomed Engn, Saskatoon, SK S7N 5A9, Canada.;Univ Saskatchewan, Dept Comp Sci, Saskatoon, SK S7N 5C9, Canada.
关键词：
Disease gene prediction;Sample-based networks;Ensemble learning;Network centrality;Protein-protein interaction network
摘要：
Background: Disease gene prediction is a critical and challenging task. Many computational methods have been developed to predict disease genes, which can reduce the money and time used in the experimental validation. Since proteins (products of genes) usually work together to achieve a specific function, biomolecular networks, such as the protein-protein interaction (PPI) network and gene co-expression networks, are widely used to predict disease genes by analyzing the relationships between known disease genes and other genes in the networks. However, existing methods commonly use a universal static PPI network, which ignore the fact that PPIs are dynamic, and PPIs in various patients should also be different. Results: To address these issues, we develop an ensemble algorithm to predict disease genes from clinical sample-based networks (EdgCSN). The algorithm first constructs single sample-based networks for each case sample of the disease under study. Then, these single sample-based networks are merged to several fused networks based on the clustering results of the samples. After that, logistic models are trained with centrality features extracted from the fused networks, and an ensemble strategy is used to predict the finial probability of each gene being disease-associated. EdgCSN is evaluated on breast cancer (BC), thyroid cancer (TC) and Alzheimer's disease (AD) and obtains AUC values of 0.970, 0.971 and 0.966, respectively, which are much better than the competing algorithms. Subsequent de novo validations also demonstrate the ability of EdgCSN in predicting new disease genes. Conclusions: In this study, we propose EdgCSN, which is an ensemble learning algorithm for predicting disease genes with models trained by centrality features extracted from clinical sample-based networks. Results of the leave-one-out cross validation show that our EdgCSN performs much better than the competing algorithms in predicting BC-associated, TC-associated and AD-associated genes. de novo validations also show that EdgCSN is valuable for identifying new disease genes. © 2020 The Author(s).
语种：
英文
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Existence of forced waves and gap formations for the lattice Lotka–Volterra competition system in a shifting environment
作者：
Wang, Hongyong* ;Pan, Chaohong* ;Ou, Chunhua*
期刊：
Applied Mathematics Letters ,2020年106:106349 ISSN：0893-9659
通讯作者：
Wang, Hongyong;Pan, Chaohong;Ou, Chunhua
作者机构：
[Wang, HY; Pan, CH; Pan, Chaohong; Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Ou, Chunhua] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构：
[Wang, HY; Pan, CH] U;[Ou, Chunhua] M;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
关键词：
Forced waves;Gap formation;Lattice Lotka–Volterra system;Shifting habitat
摘要：
We study the existence of forced traveling waves and gap formations for the lattice Lotka–Volterra competition system in a shifting habitat. By virtue of upper–lower solution method, we establish that the system admits a forced wave provided that the shifting speed of climate change falls in a certain interval. When the shifting speed is outside the range (except for the two endpoints), gap formations are then shown by theoretical proofs. © 2020 Elsevier Ltd
语种：
英文
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Effect of Si content of CrSi-based coatings on their oxidation resistance in high temperature air
作者：
He, Xiujie;Zhan, Hanyu;Lin, Jian;Liang, Gengyu;Yang, Shengzhi;...
期刊：
Ceramics International ,2020年46(8):11357-11363 ISSN：0272-8842
通讯作者：
Liu, Min;Tan, Jie
作者机构：
[Liang, Gengyu; Ma, Xianfeng; Lin, Jian; He, Xiujie; Liu, Min; Meng, Chuiyi; Zhan, Hanyu; Yang, Shengzhi] Sun Yat Sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Guangdong, Peoples R China.;[Tan, Jie] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Liu, Min] S;[Tan, Jie] U;Sun Yat Sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Guangdong, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
CrSi;Coating;Accident-tolerant fuel;Oxidation
摘要：
Coating of zirconium-based substrates is a promising method to obtain accident-tolerant fuel claddings for light water reactors. In this study, CrSi-based coatings with varying Si content were deposited by multi-arc ion plating, and the effect of Si content on the oxidation behavior of the coatings in air at various temperatures (maximum 1160 °C) was investigated. The solid solution phase, formed by Si in CrSi coating, was seen to improve the oxidation performance of Cr. The nanocomposite structure in CrSiN coating can further improve the oxidation and stability of CrN. The results indicated that Si in CrSi-based coatings plays an effective role in the oxidation resistance of Zircaloy at high temperatures. Thus, these coatings could be used as potential accident tolerant fuel cladding materials for light water reactor applications. © 2020 Elsevier Ltd and Techna Group S.r.l.
语种：
英文
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Temporal stability analysis for multiple similarity solutions of viscous incompressible flows in porous channels with moving walls
作者：
Sun, Yanxiao;Lin, Ping* ;Li, Lin
期刊：
Applied Mathematical Modelling ,2020年77:738-755 ISSN：0307-904X
通讯作者：
Lin, Ping
作者机构：
[Sun, Yanxiao] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing Key Lab Magnetophotoelect Composite & Int, Beijing 100083, Peoples R China.;[Lin, Ping] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland.;[Li, Lin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Lin, Ping] U;Univ Dundee, Div Math, Dundee DD1 4HN, Scotland.
关键词：
Laminar flow;Moving walls;Expansion ratio;Multiple solutions;Temporal stability
摘要：
In this paper, a viscous, incompressible laminar fluid flow along a uniformly porous channel with expanding or contracting walls is considered. We present multiple symmetric steady-state solutions of this flow problem at several different expanding ratios, and use the linear stability theory to analyse the temporal stability for these solutions under symmetric, antisymmetric and general perturbations. We construct second order finite difference schemes for the eigenvalue problems with boundary conditions associated with those perturbations, and observe that most of these solutions which are stable under symmetric perturbations are unstable under antisymmetric perturbations. Furthermore, we verify the linear stability analysis results by directly solving the original perturbed nonlinear time dependent problem, and find that both stability results are consistent. © 2019 Elsevier Inc.
语种：
英文
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