Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems by Ruyun Ma, Yanqiong Lu, Ruipeng Chen

“…We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u)  in  Ω, ∂u/∂n+b(x)g(u)=0  on  ∂Ω. …”
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. …”
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On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications by S. Amat, C. Bermúdez, S. Busquier, M. J. Legaz, S. Plaza

“…This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. …”
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Electrostrictive Mechanism of Radiation Self-Action in Nanofluids by Albert Livashvili, Victor Krishtop, Margarita Yakunina

“…Explicit expressions for the nonlinear part of the refractive index and concentration lens focal length are presented. …”
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Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals by Hairong Lian, Patricia J. Y. Wong, Shu Yang

“…By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.…”
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Marketing Resource Allocation Strategy Optimization Based on Dynamic Game Model by Yan Long, Hongshan Zhao

“…After combing the existing literature, it is found that there is no research combining two-stage game and nonlinear dynamics to analyze the competition between enterprises for advertising. …”
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Bifurcation Scenarios of Neural Firing Patterns across Two Separated Chaotic Regions as Indicated by Theoretical and Biological Experimental Models by Huaguang Gu, Baobao Pan, Jian Xu

“…Nonlinear dynamics can be used to identify relationships between different firing patterns, which play important roles in the information processing. …”
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An Empirical Study on Relationship between Residents’ Disposable Income and CPI Based on TVECM: Application of Bootstrap SupLM Testing for Threshold Cointegration by Jungang Du

“…Based on the fluctuation characteristics of residents’ disposable income and CPI (Consumer Price Index) in different periods, this article introduces a nonlinear threshold cointegration theory, establishes a TVECM (Threshold Vector Error Correction Model) of the residents’ disposable income and CPI. …”
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Further Improvement on Stability Results for Delayed Load Frequency Control System via Novel LKFs and Proportional-Integral Control Strategy by Xingyue Liu, Kaibo Shi, Lin Tang, Yiqian Tang

“…In this work, novel stability results for load frequency control (LFC) system considering time-varying delays, nonlinearly perturbed load, and time-varying disturbance of system parameters are proposed by using proportional-integral control strategy. …”
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Generalized Multiphase Dynamic Modeling and Precision Interaction Force Control of a Walking Lower Limb Hydraulic Exoskeleton by Shan Chen, Muye Lu, Fangfang Dong, Haijun Liu, Xiaoqing Tian, Jiang Han

“…Wearable lower limb hydraulic exoskeletons can be used to augment the human performance in heavy load transportation. Nonlinear and walking phase-dependent dynamics make the lower limb hydraulic exoskeleton become difficult to be modeled. …”
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Analysis of Local Macroeconomic Early-Warning Model Based on Competitive Neural Network by Xiaoxuan Wang, Jingjing Wang, Ying Zhang, Yixing Du

“…This article proposes a method of selecting macroeconomic early-warning indicators using self-organizing competitive neural networks and designs a macroeconomic nonlinear early warning model of self-organizing competitive neural networks; using fuzzy logic reasoning to introduce economic experts’ experience into macroeconomic early warning analysis, the system has the ability to deal with nonlinear and uncertain problems and realizes the intelligence of the early-warning process, uses the national macroeconomic indicator data from January 1997 to March 2008 for empirical analysis, and compares the self-organizing competitive neural network method with the traditional KL information method. …”
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Research on the Application of Reinforcement Learning in Traffic Flow Prediction by Hu Yiquan

“…High-dimensional state spaces and nonlinear problems can be handled with strong adaptability and strong adaptability. …”
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ON THE TECHNIQUE OF MODELING ONTOGENETIC CHANGES IN FISH AND INSECTS LIFECYCLE by A. Yu. Perevaryukha

“…Changes in survival during early ontogenesis, controlled by important factor – the rate of individual development in a competing group of individuals, can cause unexpected degradation of population with a small excess fishing impact. The theory of nonlinear efficiency of reproduction leads us to the hypothesis that two different nonlinear effects are controlled by similar mechanisms. …”
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Aerodynamic Optimization of a UAV Wing subject to Weight, Geometric, Root Bending Moment, and Performance Constraints by Durmuş Sinan Körpe, Öztürk Özdemir Kanat

“…The aerodynamic analysis tool developed by the coupling of the numerical nonlinear lifting-line method to Xfoil is used to obtain lift and drag coefficients of the baseline wing. …”
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An Energy-Saving Output Feedback Control of Single-Rod Electrohydraulic Servo System with Disturbance Observer by Yunfei Wang, Jiyun Zhao, Haigang Ding, Jiaxiang Man

“…The output feedback controller based on extended state observer and nonlinear disturbance observer has a better tracking performance compared with other controllers. …”
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Dynamic Gust Load Analysis for Rotors by Yuting Dai, Linpeng Wang, Chao Yang, Xintan Zhang

“…The generalized dynamic wake model and Leishman-Beddoes dynamic stall model are applied to calculate the nonlinear unsteady aerodynamic forces on rotors. Then, we transformed the differential aeroelastic governing equation to an algebraic one. …”
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Particle Filtering for Obstacle Tracking in UAS Sense and Avoid Applications by Anna Elena Tirri, Giancarmine Fasano, Domenico Accardo, Antonio Moccia

“…Since assessed methodologies can cause some loss of accuracy due to nonlinearities, advanced filtering methodologies, such as particle filters, can provide more accurate estimates of the target state in case of nonlinear problems, thus improving system performance in terms of collision risk estimation. …”
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Safe cooperative control of CAVs at signal-free intersection under realistic scenarios by Yuta Nakai, Toru Namerikawa

“…In this research, a nonlinear model that considers air resistance, rolling resistance, and slope resistance is used to take into account the real environment. …”
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The Performance of Resistance Progressive Collapse Analysis for High-Rise Frame-Shear Structure Based on OpenSees by Qiang Zhang, Yaozhuang Li

“…A finite element model (FEM) of frame-shear structure was constructed using OpenSees program based on the nonlinear flexibility theory and multi-vertical-line theory that considered bending-shear coupling, and its progressive collapse resistance under abnormal conditions was analyzed. …”
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Mitigation of epidemics in contact networks through optimal contact adaptation by Mina Youssef, Caterina Scoglio

“…Our results show that the piecewise nonlinear control function outperforms the well-known Bang-Bang control function in minimizing both the total number of infection cases and the reduction of contact weights. …”
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