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EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS

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Acta Mathematica Scientia 2021年第4期41卷 1151-1168页

作者： Yongjian LIU Stanisiaw MIGÓRSKI Van Thien NGUYEN Shengda ZHENG Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal UniversityYulin 537000China College of Applied Mathematics Chengdu University of Information TechnologyChengdu 610225China Jagiellonian University in Krakow Chair of Optimization and Controlul.Lojasiewicza 630348 KrakowPoland Departement of Mathematics FPT UniversityEducation ZoneHoa Lac High Tech ParkKm29 Thang Long HighwayThach That WardHanoiVietnam

The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral frictionless contact condition,and nonmonotone multivalued contact,and friction laws of subdifferential ***,under suitable assumptions,we deliver the weak formulation of the contact model,which is an elliptic system with Lagrange multipliers,and which consists of a hemivariational inequality and a variational ***,we prove the solvability of the contact ***,employing the notion of H-convergence of nonlinear elasticity tensors,we provide a result on the convergence of solutions under perturbations which appear in the elasticity operator,body forces,and surface tractions.

关键词： Mixed variational-hemi variational inequality H-convergence homogenization Clarke subgradient Lagrange multiplier elasticity operator

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Criterion for the Emergence of Meta-Stable States in Traffic systems

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Journal of Applied Mathematics and Physics 2020年第6期8卷 976-982页

作者： Liuhua Zhu School of Physics and Telecommunication Engineering Yulin Normal University Yulin China Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin China

The measurements on actual traffic have revealed the existence of meta-stable states with high flow. Such nonlinear phenomena have not been observed in the classic Nagel-Schreckenberg traffic flow model. Here we just add a constraint to the classic model by introducing a velocity-dependent randomization. Two typical randomization strategies are adopted in this paper. It is shown that the Matthew effect is a necessary condition to induce traffic meta-stable states, thus shedding a light on the prerequisites for the emergence of hysteresis loop in the fundamental diagrams.

关键词： Traffic Flow Cellular Automaton Matthew Effect Hysteresis Loop Meta-Stable State

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An ECG signal de-noising method combining the improved threshold function and ABC algorithm 3

An ECG signal de-noising method combining the improved thres...

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2022 3rd International Conference on Computer Information and big data Applications, CIBDA 2022

作者： Deng, Yanrong Huang, Yanhu School of Information and Communication Guilin University of Electronic Technology Guilin541004 China Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin537000 China Guangxi Key Laboratory of Precision Navigation Technology and Application Guilin University of Electronic Technology Guilin541004 China

ISBN: (纸本)9783800758760

Electrocardiogram (ECG) plays an imperative role in the clinical diagnosis of heart disease and heart abnormalities. In order to obtain the original ECG signal morphology, the wavelet threshold technique is usually used for ECG signal de-noising, in which threshold function and thresholds play very important role. In this paper, an improved threshold function with adjustable shape parameter was structured to improve the problems of the constant deviation in soft threshold function and the discontinuousness in hard threshold function. And then, an optimization strategy based on artificial bee colony algorithm with mean square error (MSE) as the objective function is embedded into the process of de-noising to quickly determine the optimal shape parameter and thresholds. Subsequently, a series of the simulation experiment are carried out by using two benchmark signals and real ECG signal with different noise levels. The signal-to-noise ratio (SNR) and the MSE after de-noising are used as evaluation index of the proposed method. The evaluation results demonstrate that the improved threshold function shows a better performance than the traditional threshold functions under different noise levels, and the proposed method is effective for the selections of the optimal shape parameter and thresholds in ECG signal de-noising. © VDE VERLAG GMBH - Berlin - Offenbach.

关键词： optimization

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The parallelity of complex fuzzy sets and parallelity preserving operators

The parallelity of complex fuzzy sets and parallelity preser...

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作者： Bi, Lvqing Hu, Bo Li, Sizhao Dai, Songsong School of Electronics and Communication Engineering Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin China School of Information Science and Engineering Xiamen University Xiamen361005 China School of Mechanical and Electrical Engineering Guizhou Normal University Guiyang China

complex fuzzy sets have been successfully applied to many domains. In some applications, complex fuzzy operators play an vital role, especially those results depend on the particular choice of the conjunction, disjunction and complement operators. This paper introduces an equivalence relation on complex fuzzy sets, called parallelity. Then we provide a criterion that operators should satisfy the property of parallelity preserving, for the choices of complex fuzzy operators. Finally, several parallelity preserving inference methods are discussed for complex fuzzy reasoning. © 2018 - IOS Press and the authors. All rights reserved.

关键词： Fuzzy inference

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A Spectral Efficient Hybrid Precoding Algorithm for MmWave MIMO systems

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Procedia Computer Science 2020年 174卷 584-590页

作者： Tingting Li Feng Zhao Key Laboratory of Cognitive Radio and Information Processing Guilin University of Electronic Technology Guilin 541004 China Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin China

Millimeter-wave MIMO will use hybrid precoding to improve the spectral efficiency. In this paper, we propose a spectral efficient hybrid precoding algorithm. In order to maximize the projection of hybrid precoding matrix on the optimal precoding matrix, we design the analog precoding matrix by selecting an optimal combination from the candidate matrix. Then, we regard the channel matrix and the obtained analog precoding matrix as an equivalent channel matrix, and use regularized zero-forcing to acquire the digital precoding matrix. Finally, we present simulation results of the proposed hybrid precoding algorithm and show that the algorithm approaches the optimal precoding.

关键词： Millimeter wave MIMO spectral efficiency hybrid precoding candidate matrix equivalent channel matrix

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Broadband tri-polarization reconfigurable filtering antenna based on metasurface

Broadband tri-polarization reconfigurable filtering antenna ...

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IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP)

作者： Long Li Zhao Wu Jiajun Liang Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin P. R. China

A wideband tri-polarization reconfigurable metasurface (MTS) antenna with a filtering function is presented in this article. The proposed antenna consists of two layers, which are the coupled aperture layer and MTS layer. The antenna is excited by a microstrip printed on the bottom of the aperture layer, and the ground plane is fabricated on the top. A reconfigured coupled aperture achieved polarization diversity is etched on the ground plane. Additionally, the complementary split ring resonator (CSRR) is loaded on the ground plane and introduced a low-frequency radiated null. Six sets of PIN diodes are inserted on the microstrip and the reconfigured coupled aperture. By controlling the PIN diodes, polarization diversity is obtained, including linear polarization (LP), right-hand circular polarization (RHCP), and left-hand circular polarization (LHCP) modes. Besides, the MTS is manufactured on the top of the MTS layer. A high-frequency radiated null is realized by the non-uniform MTS. Thus, a polarization diversity with filtering performance antenna based on non-uniform is proposed. The simulated results show the antenna has a wide impedance bandwidth (IMBW) of 41.4% and 45.6% for LP and CP modes, respectively. While the antenna is operated in CP modes, an overlapped 3-dB axial ratio (AR) bandwidth reaches 16.2% for both CP modes. Meanwhile, the out-of-band radiation suppression level is more than 14.6 dB and 17 dB for LP and CP modes.

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Wideband and Low-Profile Filtering Antenna Based on Metasurface and CRSS

Wideband and Low-Profile Filtering Antenna Based on Metasurf...

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Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSRWTC)

作者： Long Li Jiajun Liang Zhao Wu Key Laboratory of Complex System Optimization and Big Data Processing Guangxi Colleges and Universities Yulin Normal University Yulin P. R. China

In this article, we introduce a filtering antenna with broadband and a compact design. It leverages metasurface (MTS) technology in conjunction with the complementary split ring resonator (CSRR) topology. The antenna consists of three parts, including the feeding line, the aperture layer, and the MTS layer. The MTS is excited by a coupled aperture cut out of the ground plane. Besides, the CSRR is loaded on the ground plane to utilize the resonant characteristic and obtain a low-frequency radiation null. Furthermore, the MTS is made up of non-uniform rectangle units and a rectangle ring slot is etched in the outer elements. Due to the non-uniformity of the MTS and the rectangle ring slot, the excited current of the MTS at high frequency is neutralized and two high-frequency radiation nulls are obtained. Hence, the filtering function of the antenna is achieved. In the simulation, the antenna shows a wide -10-dB impedance bandwidth of 40.8% and a good out-of-band radiation suppression level of more than 15 dB. Meanwhile, the antenna has a low prolife of 0.06 λ (at the center operating frequency) and a peak gain of 8 dBi.

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A New Image Encryption Algorithm by Combining Two Chaotic Maps

A New Image Encryption Algorithm by Combining Two Chaotic Ma...

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ISCC 2017-the 5th International Conference on Information Science and Cloud Computing

作者： Congxu Zhu Shuai Li School of Information Science and Engineering Central South University Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University

This treatise proposes a new algorithm of encrypting images by combining Sine map with generalized Arnold transformation. The algorithm adds a shift transformation link to the common permutation-diffusion structure. Firstly,the plain-image is permutated in pixel positions by using the generalized Arnold transformation. Secondly,the permutated image is diffused by using the Sine map. Then,the diffused image is performed through the shifting process,which can avoid multiple encryption and shorten the encryption time. The results of analysis and experimental tests for the proposed algorithm have been given in detail,which showed that our new algorithm is highly secure. In conclusion,it has great application potential in Internet-based image secure communication.

关键词： image Arnold A New Image Encryption Algorithm by Combining Two Chaotic Maps

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Applications of Generalized Fractional Hemivariational Inequalities in Solid Viscoelastic Contact Mechanics

SSRN

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SSRN 2022年

作者： Han, Jiangfeng Li, Changpin Zeng, Shengda Department of Mathematics Shanghai University Shanghai200444 China Guangxi Colleges Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Guangxi 537000 China

This paper studies a generalized fractional hemivariational inequality in infinite-dimensional spaces. Under the suitable assumptions, the existence result is delivered by using the temporally semidiscrete scheme and the surjectivity result for multivalued pseudomonotone operator. As an illustrative application, we propose a frictionless contact model that describes the quasi-static contact between a viscoelastic body and a solid foundation. The viscoelastic constitutive equation is modeled by fractional Kelvin-Voigt law with ψ -Caputo derivative, and the contact condition is expressed as the Clarke subdifferential of a nonconvex and nonsmooth functional. Finally, the weak solvability of the mechanical system is obtained by using our abstract mathematical result. © 2022, The Authors. All rights reserved.

关键词： Viscoelasticity

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Geometric analysis and onset of chaos for the resonant nonlinear Schrödinger system

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The European Physical Journal Special Topics 2021年第11期231卷 2133-2142页

作者： Lai, Ting Feng, Chunsheng Liu, Yongjian Liu, Aimin School of Mathematics and Computational Science Xiangtan University Xiangtan People’s Republic of China Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin People’s Republic of China

In this paper, Jacobi stability of a resonant nonlinear Schrödinger (RNS) system is studied by the KCC theory, which is also called differential geometric method. The RNS system is transformed into an equivalent planar differential system by traveling wave transformation, then the Lyapunov stability of equilibrium points of the planar system is analyzed. By constructing geometric invariants, we analyze and discuss the Jacobi stability of three equilibrium points. The results show that the zero point is always Jacobi stable, while the Jacobi stability of the other nonzero equilibrium points are determined by the values of the parameters. In addition, the focusing tendency towards trajectories around the equilibrium points are studied by the dynamical behavior of deviation vector. Finally, numerical results show that the system presents quasi-periodic and chaotic phenomena under periodic disturbances.

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