期刊：
Fuzzy Sets and Systems,2024年479:108856 ISSN：0165-0114
通讯作者：
Liu, HL
作者机构：
[Xiao, Qizhen; Liu, Hongliang; Liu, HL; Luo, Zhiyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Xiao, Qizhen; Liu, Hongliang; Liu, HL] Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China.
通讯机构：
[Liu, HL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China.
关键词：
Aperiodic DoS attacks;Resilient synchronization;Fixed-time stability;Fuzzy neural networks;Reaction-diffusion terms
摘要：
This work focuses on the resilient fixed -time synchronization of delayed fuzzy memristive reaction -diffusion neural networks under denial -of -service (DoS) attacks. To efficaciously tolerate the aperiodic DoS attacks, a new appropriate controller is designed to ensure the fixed -time resilient synchronization of the systems. Moreover, two mild sufficient conditions are first proposed and the constrained techniques of attacking intervals are employed to overcome the challenge of estimating the upper bound of the settling time under aperiodic DoS attacks. Lastly, an example is utilized to illustrate the effectiveness and feasibility of the theoretical result.
摘要：
In this paper, we give six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + a(x) over F-2(2m) and six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + ax(pm) + a(pm) x over F-p(2m) (p being an odd prime), respectively. In addition, we also investigate permutation polynomials obtained from piecewise functions. Consequently, we find some complete permutation polynomials.
期刊：
Qualitative Theory of Dynamical Systems,2024年23(2):1-17 ISSN：1575-5460
通讯作者：
Hu, SL
作者机构：
[Pan, Chaohong] Hunan First Normal Univ, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China.;[Hu, Shulin; Pan, Chaohong; Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Hu, SL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, we investigate the speed selection mechanism of traveling wave solutions for a reaction–diffusion–advection equation with high-order terms in a cylindrical domain. The study focuses the problem under two cases for Neumann boundary condition and Dirichlet boundary condition. By using the upper and lower solutions method, general conditions for both linear and nonlinear selections are obtained. When the equation is expanded to higher dimensions, literature examining this particular topic is scarce. In light of this, new results have been obtained for both linear and nonlinear speed selections of the equation with high-order terms. For different power exponents m and n, specific sufficient conditions for linear and nonlinear selections with the minimal wave speed are derived by selecting suitable upper and lower solutions. The impact of the power exponents m and n on speed selection is analyzed.
摘要：
Theoretical investigations are conducted to examine the impact of toroidal rotation and ion collisional viscosity on low-frequency zonal flow (LFZF) in a tokamak plasma with the fluid model. The results indicate that while the frequency of LFZF remains unchanged during an isothermal process with gamma=1, its damping rate is influenced by both toroidal rotation and ion collisional viscosity. Specifically, as the ion collisional viscosity increases, so does the damping rate of LFZF; conversely, as the toroidal rotation As its Mach number rises, its damping rate decreases. For a non-isothermal process with gamma > 1 (such as gamma = 5/3), the damping rate and frequency of LFZF are influenced by both toroidal rotation and ion collisional viscosity. It has been demonstrated that when the toroidal rotation Mach number surpasses a certain threshold, the frequency transitions from zero to a finite value, while the damping rate decreases as the toroidal rotation Mach number increases for LFZF. Furthermore, it has been observed that the damping rate of LFZF increases while the frequency decreases with an increase in ion collisional viscosity. Moreover, when the ion collisional viscosity surpasses a certain threshold, the frequency of LFZF drops to zero.
作者机构：
[Xu, Changjin; Xu, CJ] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.;[Liu, Zixin; Pang, Yicheng] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China.;[Shen, Jianwei] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, 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.
通讯机构：
[Xu, CJ ] G;Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
关键词：
ergodic theory;markov Process;hessian matrix;Ito formula
摘要：
In the literature [16], the COVID-19 model has been constructed using deterministic approach. The present manuscript examines a stochastic model designed to capture the interplay between COVID-19 and varying infection rates on disease dynamics. We present the necessary criteria for a global solution to the considered model to exist and be unique. To illustrate several outcomes pertaining to the ergodic properties of the given system, the we utilize nonlinear analysis. Furthermore, the model undergoes simulation and is compared with deterministic dynamics. To verify the efficacy of the considered model and demonstrate its utility, we compare the dynamics of the infected population to real statistical data from multiple countries, such as the United Kingdom, Australia, Spain, and India. The proposed model has proven to be a reliable and effective tool for understanding the intricate nature of COVID-19 dynamics. Moreover, we provide a visually striking depiction of the impact of different infection rates on the propagation of the model under investigation. This visualization provides valuable insight into the multifaceted nature of the pandemic and significantly contributes to the comprehension of COVID-19 dynamics.
摘要：
We present an atomistic simulation of thermoelectric properties in cove-edged graphene nanoribbons (CGNRs) via the nonequilibrium Green's function. Different from gapless zigzag graphene nanoribbons (ZGNRs), CGNRs exhibit a noticeable bandgap. Such a bandgap can be modulated by varying three structural parameters (namely, the width N, the distance between adjacent coves m, as well as the shortest offset n) of CGNRs, which can give rise to the transition from semiconducting to semi-metallic. Due to the less dispersive phonon bands and the decrease in the number of phonon channels of CGNRs, they are found to have the lower phonon thermal conductance than ZGNRs. Modulation of CGNRs can produce over tenfold improvement of the maximum of ZT compared to ZGNRs. This improvement is due to the promotion of the Seebeck coefficient together with the degradation of the phonon thermal conductance of CGNRs compared to ZGNRs.
期刊：
Finite Fields and Their Applications,2024年94:102354 ISSN：1071-5797
通讯作者：
Kan, HB
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 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.;[Zhang, Tongliang] North China Univ Sci & Technol, Coll Sci, Tangshan 063000, Hebei, Peoples R China.
通讯机构：
[Kan, HB ] F;Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.
关键词：
Finite field;Permutation trinomial
摘要：
Let q = 2m and Fq3 be the finite field with q3 elements. In this paper, based on the multivariate method, resultant elimination, and transforming into dealing with some equations over finite fields, we propose two classes of permutation trinomials of Fq3. We illustrate that these two classes of permutation trinomials are QM-inequivalent to all known permutation polynomials over Fq3. Some well-known results can be covered by our theorems.(c) 2023 Elsevier Inc. All rights reserved.
摘要：
Mining can provide abundant resources, but it also causes heavy metal wastewater pollution, which poses a serious threat to aquatic ecosystems. In this study, Cypridopsis vidua was used as the test organism to investigate the single and combined acute toxicity of common heavy metals (such as chromium (Cr) and nickel (Ni)) in mining wastewater. Then, a random forest model (RF model) was used to predict the combined toxicity of chromium and nickel. Single acute toxicity experiments showed that the 96 h-LC(50 )values of the Cr and Ni for Cypridopsis vidua were 0.81 mg/L and 4.3 mg/L, respectively. aCr was more toxic than Ni. Furthermore, the combined acute toxicity experiments demonstrated that the toxicity of Cr-Ni was higher than Ni but lower than Cr. The predicted results of the RF model were highly consistent with the experimental results of the Cr-Ni combined acute toxicity. So, the model has accurate toxicity prediction ability.
摘要：
In this paper, we presented a novel technique called extended modified auxiliary equation mapping technique, which we used to analyze the combined Chen-Lee-Liu derivative nonlinear Schrodinger equation (MCLL-NLSE) analytically. With the help of three parameters, we were able to use our proposed method to produce newer, broader sets of exact solutions, including bright, periodic, semi half bright, dark, combined, semi half dark, doubly periodic, doubly bright, half bright, and half dark. This is the main distinction between our method and others currently in use. To develop the theoretical fluid dynamics, nonlinear fiber optics, electromagnetism, mathematical physics, bio-mathematics, soliton dynamics, plasma physics, industrial studies, quantum mechanics, nuclear physics and many other natural and physical sciences has been greatly impacted by recently discovered solutions. We have presented the newly discovered solutions in graphs in various dimensions using Mathematica 10.4 to provide a better clear picture of the dynamic properties of the solutions. Additionally, we conducted stability tests on the obtained solutions and presented them as a table.
摘要：
Permutations with differential and boomerang uniformity 4 over F22k offer good resistance to block ciphers against differential and boomerang attacks. There are five primarily constructed infinite classes of differentially 4-uniform permu-tations with the best known nonlinearity over F22k , namely the Gold functions, the Kasami functions, the Inverse functions, the Bracken-Leander functions and the Bracken-Tan-Tan functions. It has been shown by Boura et al. and by Mesnager et al. respectively, that the Gold functions and the Bracken-Tan-Tan functions also have boomerang uniformity 4. It is known that the Bracken-Tan-Tan functions are CCZ-inequivalent to the Inverse functions and the Bracken-Leander functions. In this paper, it is proved that the Bracken-Tan-Tan functions are also CCZ-inequivalent to the Gold functions and the Kasami functions. In particular, the Gold functions and the Bracken-Tan-Tan functions are two different classes of boomerang uniformity 4 permutations up to EA-equivalence. (c) 2023 Elsevier Inc. All rights reserved.
摘要：
Summary The Kaczmarz algorithm is widely used in image reconstruction. In this paper, we propose an enhanced version of the Kaczmarz algorithm by integrating Nesterov momentum into the Kaczmarz algorithm, denoted as the Kaczmarz algorithm with momentum. Our innovation offers a novel approach to accelerate the convergence rate of the Kaczmarz algorithm significantly. Based on greedy rules for selecting work row, we prove that the Kaczmarz method with momentum can achieve global linear convergence rates. Furthermore, we extend a constrained version of the Kaczmarz algorithm with Nesterov momentum for improved image reconstruction and prove its convergence. Numerical experiments show that the proposed algorithm outperforms the original Kaczmarz algorithm in terms of efficiency for image reconstruction.
作者机构：
[Li, ZY; Li, Zhenye; Huang, Chenhui; Li, Yuehao; Zhang, Meng; Ding, Xu] Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China.;[Ding, Yu-Feng] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Zhu, Chunguang] Sichuan Univ Sci & Engn, Sch Mat Sci & Engn, Zigong 643002, Sichuan, Peoples R China.
通讯机构：
[Li, ZY ] U;Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China.
关键词：
cathode interface layer;non-covalent interaction;organic solar cells;power conversion efficiency;vermiculite
摘要：
Interface modification plays an important role in improving the power conversion efficiency (PCE) of organic solar cells (OSCs). However, the low non-covalent interaction between the cathode interface layer (CIL) and nonfullerene acceptor (NFA) directly affects the charge collection of OSCs. Here, the non-covalent interaction between the CIL and NFA is enhanced by introducing the 2D vermiculite (VML) in the poly(9,9-bis(3 '-(N,N-dimethyl)-Nethylammonium-propyl-2,7-fluorene)-alt-2,7-(9,9-dioctylfluorene)) dibromide (PFN-Br) interface layer to form an efficient electron transport channel. As a result, the electron extraction efficiency from the active layer to the CIL is increased, and the PCE of OSCs based on PBDB-T:ITIC is boosted from 10.87% to 12.89%. In addition, the strategy of CIL doping VML is proven to be universal in different CIL materials, for which the PCE is boosted from 10.21% to 11.57% for OSCs based on PDINN and from 9.82% to 11.27% for OSCs based on PNDIT-F3N. The results provide a viable option for designing efficient CIL for high-performance non-fullerene OSCs, which may promote the commercialization of OSCs. The non-covalent interaction between the cathode interface layer and nonfullerene acceptor is enhanced by introducing vermiculite in the PFN-Br interlayer. As a result, the power conversion efficiency of organic solar cells based on PBDB-T:ITIC is boosted from 10.87% to 12.89%. image
期刊：
Information Processing Letters,2024年184 ISSN：0020-0190
通讯作者：
Kan, HB
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 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 322000, Peoples R China.;[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Kan, HB ] F;Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;Fudan Univ, Yiwu Res Inst, Yiwu 322000, Peoples R China.
关键词：
Algebraic degree;Cryptography;Finite field;Generalized almost perfect nonlinear function;Monomial
摘要：
In this short note, we present a new class of GAPN power functions of the type xk2p2i+k1pi+k0 over finite fields Fpn with p odd and gcd(n, i) = 1 (up to EA-equivalence). (c) 2023 Elsevier B.V. All rights reserved.
摘要：
This study addresses the preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters. Employing a preassigned-time stable control strategy, two distinct controllers with varying power exponent parameters are designed to ensure that synchronization can be achieved within a predefined time frame. Unlike existing finite/fixed-time results, a priori specification of the settling time is addressed. Furthermore, Green's formula and boundary conditions are efficiently applied to overcome potential symmetry loss. Additionally, the activation function's constraint range is more lenient compared to existing constraints. Finally, the effectiveness of the presented methods are demonstrated through two examples.
作者机构：
[Lin, Wenbin; Yang, Bo] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Lin, Wenbin] Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China.;[Li, Jie] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
通讯机构：
[Wenbin Lin] S;School of Mathematics and Physics, University of South China, Hengyang, China<&wdkj&>School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, China
期刊：
Physics of the Dark Universe,2023年42:101308 ISSN：2212-6864
通讯作者：
Lin, WB
作者机构：
[Li, Jie] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Lin, Wenbin; Yang, Bo; Lin, WB] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Wang, Yu] Univ Rome, Dip Fis, ICRA, Ple Aldo Moro 5, I-00185 Rome, Italy.;[Lin, Wenbin] Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China.
通讯机构：
[Lin, WB ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Quark stars;Massive gravity;MIT bag model;Tolman-Oppenheimer-Volkoff equation
摘要：
We investigate the structure of quark stars in de Rham-Gabadadze-Tolley like massive gravity with an anisotropic matter source. The MIT bag model as the equation of state for compact stars is used to numerically solve the modified Tolman-Oppenheimer-Volkoff equation. We analyze the effects of bag constant, anisotropy parameter and massive gravity parameters on the structure of quark stars. The results show that the mass and radius of the quark star depend on these parameters significantly, and the maximum mass can satisfy the observational data for the massive pulsar PSR J0348+0432. Furthermore, we also discuss other properties of quark stars, including dynamical stability, Schwarzschild radius and compactness.& COPY; 2023 Elsevier B.V. All rights reserved.
摘要：
In 5G frequency division duplex (FDD) systems, the user equipment needs to feedback the measured downlink channel state information (CSI) to the base station to improve the throughput. For massive multiple-input-multiple-output (MIMO) systems, each antenna in base station needs its CSI feedback, which results in significant transmission overhead and latency. We propose an attention-based deep learning network to directly predict the downlink CSI from the corresponding uplink one, eliminating the feedback overhead completely. Specifically, the uplink CSI is first compressed based on the 3D inverse discrete Fourier transform, then is fed into an attention-based deep learning network which can focus on key CSI characteristics. The simulation results show that the proposed method achieves high prediction accuracy and low complexity, indicating prospective applications in FDD massive MIMO systems.
期刊：
Measurement Science And Technology,2023年34(6) ISSN：0957-0233
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.
关键词：
transversely isotropic materials;cylindrical indentation;elastic parameters;dimensional analysis;finite element (FE);three-dimensional (3D)
摘要：
Based on the cylindrical indention experiments, a novel model has been established to characterize the elastic mechanical property of transversely isotropic materials. In the first place, the influences of different loading orientations for indentation, and elastic parameters of materials on the indentation modulus of transversely isotropic materials are analyzed by means of theoretical and dimensional analysis. In the second place, three dimensional (3D) indentation experiments that encompass the wide range of transversely isotropic material parameters are simulated by finite element (FE) approach. Each quantity (transversely isotropic Young's modulus, EP, longitudinal Young's modulus, EL, longitudinal shear modulus, GL, and loading orientation angle, ) how affects the normalized indentation modulus is investigated. Then, the dimensionless analytical relationship between indentation modulus and elastic parameters is put up at three different indentation orientation angles . To prove the correctness of the proposed model, several groups of transversely isotropic materials are selected as input parameters to carry out indentation numerical experiments and the error analysis is made in detail. Simultaneously, the technique is specialized to the particular case of a Zinc single crystal material to verify the accuracy of these formulas derived. These good agreements show that the proposed method is reliable and it could be used to quantify the elastic parameters of the transversely isotropic materials.
