M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors by Gang Wang, Linxuan Sun, Lixia Liu

“…M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics. …”
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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems by Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge

“…The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. …”
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The Time-Fractional Coupled-Korteweg-de-Vries Equations by Abdon Atangana, Aydin Secer

“…We put into practice a relatively new analytical technique, the homotopy decomposition method, for solving the nonlinear fractional coupled-Korteweg-de-Vries equations. …”
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Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients by Li-hua Zhang

“…Applying the characteristic equations of the obtained symmetries, the (2 + 1)-dimensional KP equation is reduced to (1 + 1)-dimensional nonlinear partial differential equations, including a special case of (2 + 1)-dimensional Boussinesq equation and different types of the KdV equation. …”
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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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Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures by Wei Wang, Xiaozu Su

“…In order to deal with the divergence and instability due to the ill-posedness of the nonlinear finite element (FE) model of strain-softening structure in implicit static analysis, the dynamic relaxation method (DRM) was used with kinetic damping to solve the static increments in the incremental solution procedure so that the problem becomes well-posed. …”
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Sieve Method for Polynomial Linear Equivalence by Baocang Wang, Yupu Hu

“…We consider the polynomial linear equivalence (PLE) problem arising from the multivariate public key cryptography, which is defined as to find an invertible linear transformation ℒ satisfying 𝒫=𝒮∘ℒ for given nonlinear polynomial maps 𝒫 and 𝒮 over a finite field 𝔽q. …”
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Dynamic Vibration Absorber with Negative Stiffness for Rotor System by Hongliang Yao, Zidong Chen, Bangchun Wen

“…Then, the structure of the absorber is proposed; the principles and nonlinear dynamic characteristics of the absorber-rotor system are studied numerically. …”
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On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays by Xinghua Liu, Hongsheng Xi

“…The exponential stability of neutral Markovian jump systems with interval mode-dependent time-varying delays, nonlinear perturbations, and partially known transition rates is investigated. …”
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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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Eigenvalue Criteria for Existence of Positive Solutions to Fractional Boundary Value Problem by Wen Lian, Zhanbing Bai

“…The growth conditions of the nonlinearity with respect to the first eigenvalue of the related linear operator is given to guarantee the existence and multiplicity.…”
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On the stabilization of internally coupled map lattice systems by Weihong Huang

“…The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), where f:ℝ→ℝ is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi+βi<1, for all x∈ℝ, i=1,2,…,n. …”
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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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Pole Placement-Based NMPC of Hammerstein Systems and Its Application to Grade Transition Control of Polypropylene by He De-Feng, Yu Li

“…This paper presents a new nonlinear model predictive control (MPC) algorithm for Hammerstein systems subject to constraints on the state, input, and intermediate variable. …”
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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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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

“…This article conducted an analysis on quantitative properties and stability in a $ \beta $-normed space for a category of boundary value problems of nonlinear two-term fractional-order sequential differential equations with variable coefficients. …”
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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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Efficient Neural Network Modeling for Flight and Space Dynamics Simulation by Ayman Hamdy Kassem

“…For linear flight/space dynamics systems, the technique can find the network weights and biases directly by solving a system of linear equations without the need for training. Nonlinear flight dynamic systems can be easily modeled by training its linearized models keeping the same network structure. …”
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Compensation for Cross-Coupled Dynamics of Dual Twisted-String Actuation Systems by Lei Jiang, Yuejuan Li, Marvin H. Cheng

“…Due to the physical properties of twisted string, the actuator has problems of nonlinear length variation and cross-coupled relationships between two strings. …”
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Approximate Solutions of Fisher's Type Equations with Variable Coefficients by A. H. Bhrawy, M. A. Alghamdi

“…Also the results demonstrate that the proposed method is powerful algorithm for solving the nonlinear partial differential equations.…”
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