Complexity: a new paradigm for fracture mechanics by A. Carpinteri, S. Puzzi

“…In fact, under the label of Complexity Sciences we comprehend a large variety of approaches: nonlinear dynamics, deterministic chaos theory, nonequilibrium thermodynamics, fractal geometry, intermediate asymptotics, complete and incomplete similarity, renormalization group theory, catastrophe theory, self-organized criticality, neural networks, cellular automata, fuzzy logic, etc. …”
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Joint optimization strategy of service cache and resource allocation in mobile edge network by Long LONG, Zichen LIU, Zaiwang LU, Yucheng ZHANG, Lei LI

“…Aiming at the problem that computing and storage resources of edge node in a mobile edge computing (MEC) system were limited, and excessive task offloading would cause the mismatch between the computing capacity and the load capacity of the edge server, resulting in the increase of task processing delay, the joint optimization of task offloading and storage resources under the three-layer network architecture composed of multi-user, edge server and cloud server was studied to reduce the overall system delay.For the problem was a mixed integer nonlinear problem, a joint optimization strategy of service caching and resource allocation was proposed.First, the continuous and discrete variables of the original problem were decoupled into two sub-problems, namely, the service cache decision problem and the joint optimization problem of computing resources and communication resources.Then, the linear reconstruction, relaxation method and convex optimization method were used to alternately optimize the two sub-problems to obtain the near-optimal solution.Simulation results demonstrate that the proposed strategy can obtain a near-optimal performance with low complexity, and can reduce up to 10% of the task duration compared with other strategies.…”
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An Artistic Image Fusion Method with Improved Cartoon-Texture Decomposition by Zhou Meng

“…An improved cartoon-texture decomposition method for art image fusion is proposed. The nonlinear local total variation component is used as the indicator function of image decomposition to obtain the image cartoon structure component and texture oscillation component. …”
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D2D cooperative caching strategy based on graph collaborative filtering model by Ningjiang CHEN, Linming LIAN, Pingjie OU, Xuemei YUAN

“…A D2D cooperative caching strategy based on graph collaborative filtering model was proposed for the problem of difficulty in obtaining sufficient data to predict user preferences in device-to-device (D2D) caching due to the limited signal coverage of base stations.Firstly, a graph collaborative filtering model was constructed, which captured the higher-order connectivity information in the user-content interaction graph through a multilayer graph convolutional neural network, and a multilayer perceptron was used to learn the nonlinear relationship between users and content to predict user preferences.Secondly, in order to minimize the average access delay, considering user preference and cache delay benefit, the cache content placement problem was modeled as a Markov decision process model, and a cooperative cache algorithm based on deep reinforcement learning was designed to solve it.Simulation experiments show that the proposed caching strategy achieves optimal performance compared with existing caching strategies for different content types, user densities, and D2D communication distance parameters.…”
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Asian Options Pricing and Parameter Estimation of Uncertain Mean-Reverting Currency Model With Exponential Ornstein–Uhlenbeck Exchange Rate by Lujun Zhou, Zhigang Fu

“…Additionally, the paper investigates the nonlinear relationship between option prices and expiration time. …”
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Synthesis and Kinematic Analysis for Bi-objective Path of Six-bar Linkage by Guangzhen Cui, Yanqiu Xiao, Caidong Wang, Zhiqiang Guo

“…Firstly，based on the set of nonlinear equations of bi-objective path for six-bar linkage，five general precision points is the largest number that can be achieved precision bi-objective path of six-bar linkage. …”
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Novel Evaluation of Fuzzy Fractional Helmholtz Equations by Meshari Alesemi, Naveed Iqbal, Noorolhuda Wyal

“…It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures.…”
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Flexural behavior of delta and bi-delta cold-formed steel beams: experimental investigation and numerical analysis by Yazid Hadidane, Nadia Kouider, Mohammed Benzerara

“…The properties of this type of sections are most often based on the method involving the effective width designated by the Eurocode 3 standard. A nonlinear analysis by finite elements (FE) using the ABAQUS calculation program is carried out, thus making it possible to compare the experimental results with the numerical ones as well as those which are given by the theory proposed by Eurocode 3. …”
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A Numerical Simulation of Extratropical Storm Surge and Hydrodynamic Response in the Bohai Sea by Yumei Ding, Lei Ding

“…It is shown that the simulated storm surge and tides agree well with the observations. The nonlinear interaction between the surge and astronomical tides, the spatial distribution of the maximum surge level, and the hydrodynamic response to the storm surge are studied. …”
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Heat Transport Hysteresis Generated Through Frequency Switching of a Time-Dependent Temperature Gradient by Renai Chen, Galen T. Craven

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Observations on Harmonics Summation in Transmission Systems: Alternative Aggregation Estimation by Rafael S. Salles, Maise N. S. Silva, Paulo F. Ribeiro

“…Harmonic summation analysis and estimation is not a simple task since there will be variations because of the grid complexity, nonlinear sources, and unpredictable behaviour of harmonic currents that affect the results. …”
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Vector Bond Graph Method of Kineto- static Analysis for Hybrid Driving Five Linkage Mechanism by Wang Zhongshuang, Wang Xifeng

“…For the algebraic difficulties brought by differential causality and nonlinear junction structure in automatic modeling and dynamics analysis of this kind mechanism,the effective bond graph augment method is proposed. …”
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Interval Shannon Wavelet Collocation Method for Fractional Fokker-Planck Equation by Shu-Li Mei, De-Hai Zhu

“…Metzler et al. introduced a fractional Fokker-Planck equation (FFPE) describing a subdiffusive behavior of a particle under the combined influence of external nonlinear force field and a Boltzmann thermal heat bath. …”
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VB-Based Gaussian Sum Cubature Kalman Filter for Adaptive Estimation of Unknown Delay and Loss Probability by Ruipeng Wang, Xiaogang Wang, Haojie Zhang

“…Therefore, a variational Bayesian- (VB-) based Gaussian sum cubature Kalman filter is proposed to solve the nonlinear tracking problem of multistep random measurement delay and loss (MRMDL) with unknown probability. …”
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Application of HEC-HMS Model in Flood Simulation of Qingshan River Basin by PENG Chujie

“…It is more and more important to realize the fast simulation of flood process in the early warning of mountain flood disaster in small and medium river basins.This paper builds a distributed hydrological model for Qingshan River Basin by combining HEC-HMS model with GIS technology,extracts the characteristics of river system and conducts gridding on small basin based on DEM data,calculates the surface runoff by initial and constant loss method and Snyder unit hydrograph method,simulates the process of base flow recession through nonlinear boussinesq method,conducts the channel routing by Muskingum method,calibrates the parameters with the past 5 measured flood data,as well as verifies the prediction results by 13 floods.The simulation results show that during the verification period,the errors of peak discharge are all within 20%,the time difference for peaks is less than 3 h,the certainty coefficient is less than 0.7 for only 2 floods,and above 0.7 for others.The results show that with high accuracy and stability,the HEC-HMS model for flood simulation in this river basin conforms to the requirements of the flood forecast,which is of great application value for the exploration of small basin flood simulation and analysis.…”
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Research of the Rolling Bearing Fault Feature Extraction Technology based on the Wavelet Noise Reduction and RSSD by Chen Baojia, Yan Wenchao, Wu Zhiping, Zhu Chenxi

“…The rolling bearing fault vibration signals are nonlinear and non- stationary and have strong noise background,in order to extract the fault feature effectively,a feature extraction technology which combines wavelet denoising and resonance- based sparse signal decomposition（ RSSD） is proposed. …”
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A Method to Improve the Performance of Arrays for Aperture-Level Simultaneous Transmit and Receive by Dujuan Hu, Xizhang Wei, Mingcong Xie, Yanqun Tang

“…However, due to the nonlinear characteristics and the accompanying noise of the active devices in the system, the coupling from the transmit channel to the receive channel cannot be accurately estimated in massive arrays, making it hard to improve the isolation between the transmit and receive channels. …”
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Harmonic Detection Method Based on Particle Swarm Optimization and Simulated Annealing Algorithm of Electrohydraulic Servo System by Tao Wang, Jinchun Song

“…Due to the comprehensive influence of many nonlinear coupling factors within a system, when the input signal provided by an electrohydraulic servo shaker is sinusoidal, it often leads to the existence of high-order harmonic components of the system, which makes the output servo signal parameters exist extremely serious. …”
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Resource Assignment Algorithms for Autonomous Mobile Robots with Task Offloading by Giuseppe Baruffa, Luca Rugini

“…This minimization is a nonlinear integer programming problem, with high complexity. …”
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Forward Kinematics Solution of Stewart Platform based on Improved Non-dominated Sorting Genetic Algorithm by Qiguo Hu, Yanli Luo, Yuqian Wang

“…Due to the highly multivariate nonlinear function， the forward kinematics solution method is hard to be both fast and accurate. …”
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