Numerical Solutions to Optimal Portfolio Selection and Consumption Strategies under Stochastic Volatility by Lei Ge, Qiang Zhang

“…In addition, we have used a technique to deal with the nonlinear term, which is another novelty in performing the Crank–Nicolson algorithm. …”
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Some Extensions of Fixed Point Results over Quasi-JS-Spaces by Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar

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Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability by Korosh Mahmoodi, Bruce J. West, Paolo Grigolini

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Characteristics of the Soliton Molecule and Lump Solution in the 2+1-Dimensional Higher-Order Boussinesq Equation by Bo Ren

“…The results in this work may enrich the variety of the dynamics of the high-dimensional nonlinear wave field.…”
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Personalized recommendation model with multi-level latent features by Qing SHEN, Wenbin GUO, Jungang LOU, Qiangguo YU

“…Personalized recommendation has become one of the most effective means to solve information overload, and it is also a hot technology in the research field of massive data mining.However, traditional recommendation algorithms often only use the user’s rating information on the item, and lack a comprehensive consideration of the potential characteristics of the user and the item.The factorization machine, wide neural network, crossover network and deep neural network were combined to extract the shallow latent features, low-order nonlinear latent features, linear cross latent features, and high-order nonlinear latent features of users and items.Thus, a new deep learning personalized recommendation model with multilevel latent features was established.The experimental results on four commonly used data sets show that considering the multi-level potential features of users and items can effectively improve the prediction accuracy of personalized recommendations.Finally, the influence of factors such as the dimensions of the embedding layer and the number of neurons on the prediction performance of the new model was studied.…”
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Application of Local Fractional Homotopy Perturbation Method in Physical Problems by Nabard Habibi, Zohre Nouri

“…Nonlinear phenomena have important effects on applied mathematics, physics, and issues related to engineering. …”
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ENERGY DISSIPATION CHARACTERISTICS OF NON-LINEAR NORMAL VIBRATION CONTACT INTERFACE by ZHANG MingSong, PANG Dan, WANG Hong, HUANG Tao, MING Ming

“…The energy dissipation characteristics of the non-linear normal vibration contact system of the interface have important theoretical and engineering significance for describing the dynamic mechanism of the interface.Based on Hertz contact theory, the dynamic model of nonlinear normal vibration contact of damping joint interface is established, and the dynamic response of damped free vibration and simple harmonic forced vibration and the calculation method of vibration contact energy dissipation are proposed; the non-linearity is established The dynamic equation of the normal vibration contact system, the energy dissipation rate and cumulative energy dissipation rate of damped free vibration, and the input energy and damping loss energy of simple harmonic forced vibration are calculated; the nonlinear normal vibration contact interface is studied The relationship between energy dissipation characteristics and energy transfer provides a theoretical basis for describing the dynamics of the vibrating contact interface.…”
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Bifurcation Type Change of AC Electrostatically Actuated MEMS Resonators due to DC Bias by Dumitru I. Caruntu, Kyle N. Taylor

“…This paper investigates the nonlinear response of microelectromechanical system (MEMS) cantilever resonator electrostatically actuated by applying a soft alternating current (AC) voltage and an even softer direct current (DC) voltage between the resonators and a parallel fixed ground plate. …”
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Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods by Meryem Odabasi Koprulu, Zehra Pinar Izgi

“…The findings would be beneficial to understand physical behaviours in nonlinear optics, particularly twin-core couplers with optical metamaterials.…”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Our results agree with previous results and may help researchers better understand the behavior of nonlinear systems. Furthermore, other fields such as biology, economics, and engineering can apply our results.…”
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Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation by Zhen Wang, Yang Zhao, Zhi Ding, Huiping Tang

“…On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. …”
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Global Existence and Blow-Up of Solutions to a Parabolic Nonlocal Equation Arising in a Theory of Thermal Explosion by Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan

“…First, we prove a comparison principle for some kinds of semilinear parabolic equations under nonlinear boundary conditions; using it, we show a new theorem of subsupersolutions. …”
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The Nonsequential Fusion Method for Localization from Unscented Kalman Filter by Multistation Array Buoys by Gou Yanni, Wang Qi

“…Based on special features of array buoy and the research field of location and tracking of underwater target, the research combines the highly adaptive nonlinear filtering algorithm unscented Kalman filter with the nonlinear programming of multistation array buoy positioning system. …”
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Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation by Li Jun

“…The perturbation method of multiple scales is employed to find the general nonlinear response of the system and four first-order differential equations governing the amplitudes and phases of the responses are derived. …”
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Problem Analysis of Asaoka Method on the Post-construction Settlement Prediction of Soft Ground by ZHOU Yuelei, LIU Zhonghan

“…In view of uncertainty of Asaoka method on the post-construction settlement prediction of soft ground,this paper transforms the measured data at constant time interval through BP neural network with good nonlinear fitting ability,establishes the regression analysis model at different starting points and different time intervals based on Asaoka method,predicts the post-construction settlement by the model and analyze the stability of the predicted value through mathematical methods,as well as comprehensively analyzes the stability of the prediction results with the measured data of a soft foundation treatment project.The analysis results show that:①BP neural network with good nonlinear fitting ability is effectively used in the transformation of the measured data of soft ground;②It is not advisable to judge the reliability of Asaoka method by the correlation coefficient;③The small error of β₁ can cause significant error to the prediction results;④The reliability of prediction results can be increased by expanding time interval.…”
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STOCHASTIC BIFURCATION OF A CURRENT CARRYING THIN RECTANGULAR PLATE IN A MAGNETIC FIELD by WANG Ping, WEI Xing, WANG ZhiRen

“…It was simplified as a nonlinear dynamics differential equation by using Galerkin variation method. …”
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Robust Integrated Guidance and Control Design for Angle Penetration Attack of Multimissiles by Huan Zhou, Xin Zhao

“…In order to ensure the robustness of the system, nonlinear disturbance observers are introduced to estimate the uncertainty of the system model. …”
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Modeling of mechanical behavior of cork in compression by Youns Saadallah

“…Test-model comparisons reveal little relevance of the results given by the trilinear model whereas a very good consistency is observed for the results given by the nonlinear model.…”
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Feature selection method for software defect number prediction based on maximum information coefficient by Guoqing LIU, Xingqi WANG, Dan WEI, Jinglong FANG, Yanli SHAO

“…The traditional feature selection method only considers the linear correlation between variables and ignores the nonlinear correlation, so it is difficult to select effective feature subsets to build the effective model to predict the number of faults in software modules.Considering the linear and nonlinear relationship, a feature selection method based on maximum information coefficient (MIC) was proposed.The proposed method separated the redundancy analysis and correlation analysis into two phases.In the previous phase, the cluster algorithm, which was based on the correlation between features, was used to divide the redundant features into the same cluster.In the later phase, the features in each cluster were sorted in descending order according to the correlation between features and the number of software defects, and then the top features were selected to form the feature subset.The experimental results show that the proposed method can improve the prediction performance of software defect number prediction model by effectively removing redundant and irrelevant features.…”
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Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System by Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu, Jun-Chao Chen

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