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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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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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Parallel Implementation of W-projection Wide-Field Imaging

arXiv

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arXiv 2019年

作者： Baoqiang, L.A.O. Tao, A.N. Ang, Y.U. Zhang, Wenhui Wang, Junyi Quan, G.U.O. Shaoguang, G.U.O. Xiaocong, W.U. Shanghai Astronomical Observatory Key Laboratory of Radio Astronomy Chinese Academy of Sciences Shanghai200030 China Guangxi Cooperative Innovation Center of cloud computing and Big Data Guilin University of Electronic Technology Guilin541004 China Guangxi Colleges Universities Key Laboratory of cloud computing and complex systems Guilin University of Electronic Technology Guilin541004 China

W-projection is a wide-field imaging technique that is widely used in radio synthesis arrays. Processing the wide-field big data generated by the future Square Kilometre Array (SKA) will require significant updates to current methods to significantly reduce the time consumed on data processing. Data loading and gridding are found to be two major time-consuming tasks in w-projection. In this paper, we investigate two parallel methods of accelerating w-projection processing on multiple nodes: they are the hybrid Message Passing Interface (MPI) and Open Multi-Processing (OpenMP) method based on multicore Central Processing Units (CPUs) and the hybrid MPI and Compute Unified Device Architecture (CUDA) method based on Graphics Processing Units (GPUs). Both methods are successfully employed and operated in various computational environments, confirming their robustness. The experimental results show that the total runtime of both MPI+OpenMP and MPI+CUDA methods is significantly shorter than that of single-thread processing. MPI+CUDA generally shows faster performance when running on multiple nodes than MPI+OpenMP, especially on large numbers of nodes. The single-precision GPU-based processing yields faster computation than the double-precision processing;while the single- and double-precision CPU-based processing shows consistent computational performance. The gridding time remarkably increases when the support size of the convolution kernel is larger than 8 and the image size is larger than 2048 pixels. The present research offers useful guidance for developing SKA imaging pipelines. Copyright © 2019, The Authors. All rights reserved.

关键词： Message passing

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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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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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Network Traffic Outlier Detection Based on Full Convolutional Network

Network Traffic Outlier Detection Based on Full Convolutiona...

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International Conference on Computational Intelligence and Security

作者： Jingrong Mo Yong Wang Miao Ye School of Computer Science and Information Security Guilin University of Electronic Technology Guilin Guangxi China Guangxi Cooperative Innovation Center of Cloud Computing and Big Data Guilin University of Electronic Technology Guilin Guangxi China Guangxi Colleges and Universities Key Laboratory of Cloud Computing and Complex Systems Guilin University of Electronic Technology Guilin Guangxi China School of Information and Communication Guilin University of Electronic Technology Guilin Guangxi China

ISBN: (数字)9781728160924

ISBN: (纸本)9781728160931

Network traffic flow can be represented as time series. Outliers of these time series is important for the computer network security. The existing methods for the time series anomaly detection mainly operate on the entire time series to detect the abnormal series, seldom find out the position of the abnormal point. To solve this defect, we propose a method to discover the location of the outliers in time series based on a full convolutional network. We first map the time series into two-dimensional grayscale images by sliding window approach, and then feed them into the full convolutional network. In the classified stage, the feature maps of the last convolution layer are restored to the same size as the input image by up-sampling. Finally, we predict the class for each pixel and calculate the loss on a pixel-by-pixel basis. We tested the model on Yahoo Webscope S5 anomaly benchmark dataset, and the results show that our proposed method can achieve a mean pixel accuracy of 99.4% and mean IOU of 97% on the test dataset.

关键词： Time series analysis Telecommunication traffic Anomaly detection Convolution Feature extraction Gray-scale Machine learning

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A New Construction Method of Regeneration Tree for Single Node Fault Repair Mechanism in Distributed Storage system

A New Construction Method of Regeneration Tree for Single No...

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International Conference on Computational Intelligence and Security

作者： Wei Guo Yong Wang Miao Ye School of Computer Science and Information Security Guilin University of Electronic Technoloay Guilin Guangxi China Guangxi Cooperative Innovation Center of Cloud Computing and Big Data Guilin University of Electronic Technology Guilin Guangxi China Guangxi Colleges and Universities Key Laboratory of Cloud Computing and Complex Systems Guilin University of Electronic Technology Guilin Guangxi China School of Information and Communication Guilin University of Electronic Technology Guilin Guangxi China

ISBN: (数字)9781728160924

ISBN: (纸本)9781728160931

Comparing with the classic redundancy policy of multi-replica technology, Erasure code is preferred due to its higher utilization rate of storage space in distributed storage system. As one kind of the important Erasure code, the traditional regeneration code with star recovery topology cost more time and more network bandwidth in the data recovery process. An efficient approach to reduce the delay time and network consumption is to construct an optimal recovery tree with the best possible bottleneck bandwidth, which is proved to be a Non-deterministic Polynomial problem. To solve this problem, this paper proposed a hybrid genetic algorithm which utilizes the designed crossover operation and mutation operation according to the problem property. A series of experiments have been conducted and the results show that our proposed method has good convergent ability and reduce the regeneration time.

关键词： Topology Bandwidth Genetic algorithms Encoding Network topology Sociology Statistics

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HABEm: Hierarchical Attribute Based Encryption with Multi-Authority for the Mobile cloud Service

HABEm: Hierarchical Attribute Based Encryption with Multi-Au...

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IEEE International Conference on Communications in China (ICCC)

作者： He Qian Song Jing Xu Hong Wang Yong Guangxi Key Laboratory of Cryptograph and Information Security Guilin University of Electronic Technology Guilin China Key Laboratory of Cloud Computing and Complex System Guilin University of Electronic Technology Guilin China

ISBN: (数字)9781728173276

ISBN: (纸本)9781728173283

For the mobile cloud service, the computation and power resources of the mobile terminal are limited. And the attribute-based encryption algorithm has the uncertainty of the attribute expiration time, which highly likely results in the leakage of user privacy, and causes a huge waste of computation and bandwidth resources. To deal with these problems, a hierarchical attribute-based encryption with multi-authority for the mobile cloud service (HABEm) is proposed in this paper. A hierarchical multi-level authorization mechanism, referring to different levels of authorities, manages different attributes of mobile terminal. A proxy is introduced to delegate the high complexity decryption algorithm to improve the decryption efficiency of the mobile terminal. The mobile terminal performs attribute revocation through the authorization authority when the rank of the mobile terminal is changed. Based on the deterministic assumption of the standard model, HABEm is proved to be CPA-safe in theory. The experiment results show that HABEm has higher decryption performance and is very suitable for the mobile cloud service environment.

关键词： Authorization Privacy Uncertainty Encryption complexity theory Servers Standards

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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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Canard Phenomenon of the Snare-Sm Diffusive Model

SSRN

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SSRN 2024年

作者： Pan, Cuiyu Liu, Yongjian School of Mathematics and Statistics Guangxi Normal University Guilin541000 China Center for Applied Mathematics of Guangxi Guangxi Colleges Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin537000 China

This paper is devoted to the periodic behaviors of the SNARE-SM model with weak diffusion. More precisely, with the help of geometric singular perturbation theory, we investigate theoretically the existence of relaxation oscillation and canard explosion phenomenon of the SNARE-SM diffusion model. Numerical simulations are also carried out to verify the theoretical results. These dynamic behaviors implies different modes of neurotransmitter release as the ratio of the clamping action of SNARE-SM proteins complexin to the dissociation of the involved proteins has changed. © 2024, The Authors. All rights reserved.

关键词： Proteins

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