Optimization of Aircraft Flight Trajectory Combined with Thinking Navigation Algorithm by Yifan Yang

“…By processing the original satellite clock error data by the first-order difference method, the modeling data can be more suitable for nonlinear characteristics. Moreover, this paper chooses a simple network structure and uses the MEA to select the optimal initial parameters of the model for the BP neural network, which can avoid the local optimization of the BP neural network results. …”
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Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization by Shah Faisal, Muhammad Adil Khan, Tahir Ullah Khan, Tareq Saeed, Zaid Mohammmad Mohammad Mahdi Sayed

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A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability by Dhinakaran Veeman, Hayder Natiq, Ahmed M. Ali Ali, Karthikeyan Rajagopal, Iqtadar Hussain

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Robust uplink power control algorithm for multimedia CDMA cellular systems by GU Hong-yu, YANG Chen-yang

“…Taking the traffic burstiness, the link gain estimation error and other cell interference into account, the outage probability was derived and a nonlinear iterative algorithm （NIA） was obtained. Given a data rate allocation profile for BE traffics, the NIA could determine whether the link reliability of both QG and BE traffics could be guaranteed by power control. …”
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On the Dynamics of the Furuta Pendulum by Benjamin Seth Cazzolato, Zebb Prime

“…It provides a compact yet impressive platform for control demonstrations and draws the attention of the control community as a platform for the development of nonlinear control laws. Despite the popularity of the platform, there are very few papers which employ the correct dynamics and only one that derives the full system dynamics. …”
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Synchronization of Chaotic Delayed Neural Networks via Impulsive Control by Yang Fang, Kang Yan, Kelin Li

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Restrictive metric regularity and generalized differential calculus in Banach spaces by Boris S. Mordukhovich, Bingwu Wang

“…We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X). …”
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Support vector machine based fast Monte Carlo reliability evaluation method for composite power system by Yuxiao LEI, Gengfeng LI, Yuxiong HUANG, Zhaohong BIE

“…A fast Monte Carlo reliability evaluation method for composite power system based on support vector machine (SVM) was proposesd.Firstly,sample data for training the SVM model was obtained by enumerating component failures and calculating the corresponding minimum load shedding.Then,the SVM algorithm was used to mine the nonlinear mapping relationship between component failures and minimum load shedding,and the minimum load shedding estimation model was trained.Finally,the model was combined with the Monte Carlo simulation.By randomly sampling component states,for each state,the estimation model obtained by the training directly gave the minimum load shedding,thereby achieving a rapid assessment of the reliability of the composite power system.The proposed method is applied to the IEEE RTS 79 system,which verifies its effectiveness.…”
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Measurement and simulation of strain fields around crack tips under mixed-mode fatigue loading by Y. Hos, M. Vormwald, J.L.F. Freire

“…The mechanical material behavior has been assumed as linear elastic in a first approach for calculating stress intensity factors. The nonlinear nature of the cyclic deformation has been taken into account by applying a cyclic plasticity model, and plasticity-induced crack closure is captured by a contact formulation.…”
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On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation by Chunyan Huang

“…The strategy is to develop uniform and dyadic exponential decay estimates for the generalized Ginzburg-Landau semigroup e-a+it-Δα to overcome the derivative in the nonlinear term.…”
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Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method by Mubashir Qayyum, Qursam Fatima

“…RPSM is applied to various linear and nonlinear stiff systems, and closed-form solutions are achieved. …”
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A SVM Based Spectrum Prediction Scheme for Cognitive Radio by Yuan Xu, Huaxiang Lu, Xu Chen

“…The channel status is forecasted by utilizing the excellent forecasting performance of the model in small sample and nonlinear data of SVM. The results show that by avoiding invalid prediction, the spectrum utilization can also be improved, and the forecasting accuracy is better than model based on back propagation（BP）, thus the proposed algorithm is practicable and flexible for spectrum prediction in cognitive radio.…”
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Infinitely Many Eigenfunctions for Polynomial Problems: Exact Results by Yi-Chou Chen

“…For any polynomial yx, we assume that T:Rx→Rx is a nonlinear operator with Tyx=Fx, yx. In this paper, we will find an eigenfunction yx∈Rx to satisfy the following equation: Fx, yx=ayx for some eigenvalue a∈R and we call the problem Fx, yx=ayx a fixed point like problem. …”
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Effect of Variation of Hard Segment Content and Graphene-Based Nanofiller Concentration on Morphological, Thermal, and Mechanical Properties of Polyurethane Nanocomposites by Michał Strankowski

“…Both applied nanofillers influenced melting and crystallization of the PU matrix. The nonlinear viscoelastic behavior of the nanocomposites (Payne effect) was studied, and the results were compared with theoretical predictions.…”
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ADAPTIVE FUZZY SLIDING MODE CONTROL FOR THE TURNTABLE SERVO SYSTEM by HUANG Pei, WANG XinYuan

“…The integral sliding mode surface is used to design the switching function and the fuzzy method is used to realize the high precision control of linear systems and nonlinear systems. The simulation results show that the adaptive fuzzy sliding mode control is not only robust and fast response speed,but also can greatly weaken the chattering phenomenon of sliding mode control under the similar control effect.…”
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Evaluation of Provincial Economic Resilience in China Based on the TOPSIS-XGBoost-SHAP Model by Zhan Wu

“…The aim of this research is to propose a framework for measuring and analysing China’s economic resilience based on the XGBoost machine learning algorithm, using Bayesian optimization (BO) algorithm, extreme gradient-boosting (XGBoost) algorithm, and TOPSIS method to measure China’s economic resilience from 2007 to 2021. The nonlinear effects of its key drivers are also analysed in conjunction with the SHAP explainable model to explore the path of China’s economic resilience enhancement. …”
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Symbolic dynamics, entropy and complexity of the feigenbaum map at the accumulation point by Werner Ebelings, Katja Rateitschak

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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method by Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla

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Tomography of longitudinal phase space linearization for the generation of attosecond electron bunches by B. H. Schaap, P. Musumeci

“…Here, we report on a tomographic measurement of the (pre)linearized longitudinal phase space of a low charge 3 MeV electron bunch generated with the 1.6 cell Pegasus photoinjector for the generation of attosecond bunches. The nonlinear correlations in the longitudinal phase space induced by space charge at the photocathode, radiofrequency field curvature of the gun, and vacuum dispersion are compensated using a compact X-band linearizer. …”
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Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

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