An adaptive NMPC for ROVs trajectory tracking with environmental disturbances and model uncertainties by Yi Zhang, Jianing Zhang, Zhiyang Guo, Lei Zhang, Yuchen Shang

“…The trajectory tracking problem is formulated as an online, nonlinear receding horizon optimization process. Control increments are computed as inputs to this nonlinear optimization problem. …”
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A Novel Design of a Neural Network-Based Fractional PID Controller for Mobile Robots Using Hybridized Fruit Fly and Particle Swarm Optimization by Ghusn Abdul Redha Ibraheem, Ahmad Taher Azar, Ibraheem Kasim Ibraheem, Amjad J. Humaidi

“…This work offers the analysis, design, and simulation of a new neural network- (NN) based nonlinear fractional control structure. With suitable arrangements of the hidden layer neurons using nonlinear and linear activation functions in the hidden and output layers, respectively, and with appropriate connection weights between different hidden layer neurons, a new class of nonlinear neural fractional-order proportional integral derivative (NNFOPID) controller is proposed and designed. …”
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Atomistic Study on the Mechanical Properties of HOP–Graphene Under Variable Strain, Temperature, and Defect Conditions by Qing Peng, Jiale Li, Xintian Cai, Gen Chen, Zeyu Huang, Lihang Zheng, Hongyang Li, Xiao-Jia Chen, Zhongwei Hu

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Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces by Shuang Wang

“…Moreover, the fixed points solve the same system of nonlinear variational inequalities.…”
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The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators by Ming-Hung Hsu

“…This work simulates the nonlinear electromechanical behavior of different electrostatic microactuators. …”
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type by Pavel Drábek

“…We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. …”
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Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term by Jing Shao, Wei Song

“…The purpose of the present paper is to establish some new criteria for the classification of the sublinear differential equation as of the nonlinear limit circle type or of the nonlinear limit point type. …”
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Predictive Differential Game Guidance Approach for Hypersonic Target Interception Based on CQPSO by Fan He, Weiyi Chen, Yang Bao

“…The nonlinear differential model is transformed into a differential game model by combining a performance index. …”
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High-Accurate Numerical Schemes for Black–Scholes Models with Sensitivity Analysis by Samir Kumar Bhowmik, Jakobin Alam Khan

“…The significance of both the linear and nonlinear Black-Scholes partial differential equation model is huge in the field of financial analysis. …”
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Initial Parameter Analysis about Resonant Orbits in Earth-Moon System by Li-Bo Liu, Ying-Jing Qian, Xiao-Dong Yang

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Regression Cloud Models and Their Applications in Energy Consumption of Data Center by Yanshuang Zhou, Na Li, Hong Li, Yongqiang Zhang

“…In this paper, we analyzed linear and nonlinear regression energy model based on performance counters and system utilization and proposed a support vector regression energy model. …”
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Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…In this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. …”
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Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas by Qinghao Zhu, Jianming Qi

“…HFSCE expounded the nonlinear long-range ferromagnetic ordering magnetism. …”
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Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum by Qiuzhen WAN, Zhaoteng ZHOU

“…Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system.…”
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Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics by Nur Hasan Mahmud Shahen, Foyjonnesa, Md Habibul Bashar, Tasnim Tahseen, Sakhawat Hossain

“…The undercurrents of nonlinear wave answer are scrutinized and confirmed by MATLAB in 3D and 2D plots, and density plot by specific values of the convoluted parameters is designed. …”
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INVESTIGATION ON ELASTIC CONTACT DYNAMIC STRESS OF A DEEP-GROOVE BALL BEARING BASED ON EXPLICIT DYNAMICS by TU WenBing, LUO Ya, WANG ChaoBing, ZHANG Long, CHEN QiPing

“…Considering the characteristic of elastic nonlinear contact in rolling element bearing,taking deep-groove ball bearing 6304 as investigation object,a flexible finite element dynamic model for contact nonlinear dynamic problem of a deep-groove ball bearing was established. …”
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On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order by Angelo Marcelo Tusset, Frederic Conrad Janzen, Rodrigo Tumolin Rocha, Jose Manoel Balthazar

“…The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. …”
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Fully Kernected Neural Networks by Wei Zhang, Zhi Han, Xiai Chen, Baichen Liu, Huidi Jia, Yandong Tang

“…In this paper, we apply kernel methods to deep convolutional neural network (DCNN) to improve its nonlinear ability. DCNNs have achieved significant improvement in many computer vision tasks. …”
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Structural Damage Identification Method Based on Parametric Boundary Condition Optimization by Wei Guo, Wei Jiang

“…According to the heterogeneous background interference, the subjective consciousness, inaccurate quantification, and high cost in practical engineering, a method of applying the Bouc–Wen hysteresis nonlinear model to hysteresis characteristics of rubber isolation bearings is proposed, and this method analyzes the sensitivity of nonlinear parameters of the Bouc–Wen hysteresis model and obtains the order of nonlinear parameters of hysteresis model under different sizes of excitation. …”
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On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative by Abduljawad Anwar, Shayma Adil Murad

“…In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative. …”
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