Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications by Gonca Durmaz, Gülhan Mınak, Ishak Altun

“…Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. …”
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Développement d’un modèle statistique de prédiction de la durée de vie du rachis lombaire, dépendant de la contrainte appliquée, de l’âge et de la densité osseuse by Houcine Ayari, Marc Thomas, Sylvie Doré

“…Due to their large dispersion, the results of the fatigue tests published by Brinckmann (1988) have been classified for analysis using the experiment design method. A nonlinear model presenting a coefficient of determination R2 of 94 % has been established. …”
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Complex Network in Solar Features by Somayeh Taran

“…The complex network of sunspots has also shown that sunspots and sunspot groups are formed through complex nonlinear dynamics.…”
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State estimation with quantum extreme learning machines beyond the scrambling time by Marco Vetrano, Gabriele Lo Monaco, Luca Innocenti, Salvatore Lorenzo, G. Massimo Palma

“…Abstract Quantum extreme learning machines (QELMs) leverage untrained quantum dynamics to efficiently process information encoded in input quantum states, avoiding the high computational cost of training more complicated nonlinear models. On the other hand, quantum information scrambling (QIS) quantifies how the spread of quantum information into correlations makes it irretrievable from local measurements. …”
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Blind equalization algorithm based on complex support vector regression by Ling YANG, Liang CHEN, Bin ZHAO, Guolong ZHANG, Yuan LI

“…A new blind equalization algorithm for complex valued signals was proposed based on the framework of complex support vector regression(CSVR).In the proposed algorithm,the error function of multi-modulus algorithm (MMA) was substituted into CSVR to construct the cost function,and the regression relationship was established by widely linear estimation,and the equalizer coefficients were determined by the iterative re-weighted least square (IRWLS) method.Different from spliting the complex valued signals into real valued signals used in support vector regression,the Wirtinger’s calculus was used in complex support vector regression to analyze the complex signals directly in the complex regenerative kernel Hilbert space.Simulation experiments show that for QPSK modulated signals,compared with the blind equalization algorithm based on support vector regression,the equalization performance of the proposed algorithm is significantly improved in linear channel and nonlinear channel by choosing appropriate kernel function and iterative optimization method.…”
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Logistic chaotic sequence generator based on physical unclonable function by Chunguang HUANG, Hai CHENG, Qun DING

“…Logistic nonlinear chaotic system has many good characters such as initial value sensitivity and topological mixing in the some parameter condition,which is used to create the random sequence signal generator.Because of the attributions of randomness and uniqueness even under the exact,the same circuit layouts and manufacturing procedures,there is still an instinct unclonable difference in each integrated circuit.Therefore,a new sequence stream generator was proposed based on Logistic chaotic system and physical unclonable function designed by double output look-up-table (LUT).The output of the Logistic sequence generator was associated with a specific physical circuit.This kind of sequence generator could resist an attack such as the replication of the keys of the system.The system was designed and tested on the Xilinx FPGA board.The results show that the same architecture of the circuit and the same config file operated on the different FPGA developing board can generate the total different random chaotic sequence stream and improve the randomness of the stream.…”
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W-Band GaAs pHEMT Power Amplifier MMIC Stabilized Using Network Determinant Function by Seong-Hee Han, Dong-Wook Kim

“…The amplifier’s stability was evaluated using the network determinant function, ensuring robust performance under both linear and nonlinear conditions. Simultaneous matching for gain and output power was achieved with minimal passive elements. …”
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On the Inverse EEG Problem for a 1D Current Distribution by George Dassios, George Fragoyiannis, Konstantia Satrazemi

“…It is shown that the support is identified through the solution of a nonlinear algebraic system which is investigated thoroughly. …”
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RESEARCH ON THE DIRECTIVITY RESPONSE OF THE SPHERICAL PENDULUM SEISMOGRAPH by LIU Zhao, LIU YuMing, XU Hao, LI YaMei, ZHU YuTian

“…The analysis concludes that the spherical pendulum seismic measurement scheme may be a feasible restoration scheme with Rayleigh wave（the main component of non-local earthquakes） as wave source. A nonlinear complete mechanical model of the spherical pendulum under Rayleigh wave excitation is established. …”
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Machine Learning of the Reactor Core Loading Pattern Critical Parameters by Krešimir Trontl, Dubravko Pevec, Tomislav Šmuc

“…We employ a recently introduced machine learning technique, support vector regression (SVR), which is a data driven, kernel based, nonlinear modeling paradigm, in which model parameters are automatically determined by solving a quadratic optimization problem. …”
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Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System by Guangya Peng, Fuhong Min, Enrong Wang

“…Besides, the modular equivalent circuit of four-wing memristive system is designed and the corresponding results are observed to verify its accuracy and rationality. A nonlinear synchronization controller with exponential function is devised to realize synchronization of the coexistence of multiple attractors, and the synchronization control scheme is applied to image encryption to improve secret key space. …”
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Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems by Israa Hadi, Iden H. Al Kanani

“…Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. …”
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Annual Energy Consumption Forecasting Based on PSOCA-GRNN Model by Huiru Zhao, Sen Guo

“…The generalized regression neural network (GRNN) model was employed to forecast the annual energy consumption due to its good ability of dealing with the nonlinear problems. Meanwhile, the spread parameter of GRNN model was automatically determined by PSOCA algorithm (the combination of particle swarm optimization algorithm and cultural algorithm). …”
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ANALYSIS ON DYNAMIC CHARACTERISTICS OF TOOTH ROOT CRACK OF GEAR DRIVE SYSTEM UNDER VARIABLE LOAD EXCITATION by SHI PeiMing, ZHAO Na, LIANG Kai, HAN DongYing

“…According to the characteristics that crack can cause changes in mesh stiffness,the four degree of freedom dynamic model of the single-stage gear transmission system with the gear crack fault is established and the nonlinear dynamic mechanism of crack fault is studied. …”
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Dynamic Model and Quantitative Analysis of Stick-Slip Vibration in Horizontal Well by Baojin Wang, Zhongyang Wang, Fushen Ren

“…The influence of axial and torsional excitation on stick-slip is analyzed. The nonlinear motion predicted by the model is consistent with the observation results in the experiments. …”
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Estimates for Unimodular Multipliers on Modulation Hardy Spaces by Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang

“…Finally, we investigate the boundedness of the operator eit|Δ|α/2 for α>0 and obtain the local well-posedness for the Cauchy problem of some nonlinear partial differential equations with fundamental semigroup eit|Δ|α/2.…”
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Study on Impact Behavior and Impact Force of Bridge Pier Subjected to Vehicle Collision by Deyuan Zhou, Ruiwen Li, Juan Wang, Changtuan Guo

“…In order to study the impact behavior of bridge piers, a vehicle-double-pier collision numerical model was developed by LS-DYNA. Nonlinear material constitutive laws considering the strain-rate effect were used. …”
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Design of SVC Controller Based on Improved Biogeography-Based Optimization Algorithm by Feifei Dong, Dichen Liu, Jun Wu, Bingcheng Cen, Haolei Wang, Chunli Song, Lina Ke

“…Considering that common subsynchronous resonance controllers cannot adapt to the characteristics of the time-varying and nonlinear behavior of a power system, the cosine migration model, the improved migration operator, and the mutative scale of chaos and Cauchy mutation strategy are introduced into an improved biogeography-based optimization (IBBO) algorithm in order to design an optimal subsynchronous damping controller based on the mechanism of suppressing SSR by static var compensator (SVC). …”
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Distributed H∞ Control of AVs Interacting by Uncertain and Switching Topology in a Platoon by Feng Gao, Dongfang Dang, Qiuxia Hu, Yingdong He

“…After compensating for the powertrain nonlinearities, we model the node dynamics as a linear uncertain system. …”
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Insect visual system inspired small target detection for multi-spectral remotely sensed images by HUANG Feng-chen1, LI Min1, SHI Ai-ye1, TANG Min1, XU Li-zhong1

“…Most existing target detection algorithms for multi-spectral remotely sensed images dependent on the background model or prior knowledge of spectral,so the false alarm rate of detection algorithms would be enhanced by clutter background and little prior information.Inspired by small target detection neurons of the insect visual system,a bionic small target detection model and its corresponded detection method were proposed for multi-spectral remotely sensed images.Based on the nonlinear filtering characteristic of neural cell which is sensitive to transient signals,target detection was completed by suppressing the local background texture and enhancing target feature.Experimental results showed that the proposed method can detect target with stable low false alarm rate under the condition of complexity background.Meanwhile,the proposed method can balance the contradictory relationship between spatial resolution and background complexity.Compared with existing target detection algorithms,it was simple and easy to be completed.…”
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