Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise by Yanfeng Guo, Donglong Li

“…The approximate parameterizations of the small scales for the large scales are given in the process of seeking for stochastic parameterizing manifolds, which are obtained as pullback limits of some backward-forward systems depending on the time-history of the dynamics of the low modes in a mean square sense through the nonlinear terms. When the corresponding pullback limits of some backward-forward systems are efficiently determined, the corresponding non-Markovian reduced systems can be obtained for researching good modeling performances in practice.…”
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On efficient iterative schemes for finding all solutions of non-linear engineering problems by Mudassir Shams, Nasreen Kausar

“…Nonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail. …”
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Numerical Study on Deformation Capacity of Steel Plate Reinforced Concrete Shear Walls by Zhi Zhou, Jiang Qian, Wei Huang

“…This paper investigates the deformation capacity of the SPRC shear wall under cyclic loads. A nonlinear 3-D finite element model in ABAQUS was developed and validated against published experimental results. …”
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Seismic Resistance of Non-Linearly Deformable Large-Span Spatial Structures of Unique Buildings by Saidmaksud R. Razzakov

“…Physically and geometrically nonlinear deformation models and computational algorithms for solving dynamic problems are proposed for estimating the stress-strain state of smooth and ribbed spatial systems with variable stiffness caused by damage accumulation and orthotropic structure reinforced by ribs. …”
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Consensus of Second-Order Multiagent Systems with Directed Signed Networks and Communication Delays by Huiqin Pei, Qiang Lai

“…First, under a strongly connected directed graph, some properties for signed digraph and the model of second-order MASs are provided. A distributed nonlinear consensus control protocol is proposed for implementing consensus of second-order MASs with signed digraph and communication delay. …”
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A QP-Free Algorithm for Finite Minimax Problems by Daolan Han, Jinbao Jian, Qinfeng Zhang

“…The nonlinear minimax problems without constraints are discussed. …”
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Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper by Wiesław Grzesikiewicz, Artur Zbiciak

“…The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for numerical implementation. …”
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Boundedness of Singular Integral Operators with Operator-Valued Kernels and Maximal Regularity of Sectorial Operators in Variable Lebesgue Spaces by Qinghua Zhang, Yueping Zhu, Feng Wang

“…Finally, a type of semilinear evolution equations with domain-varying nonlinearities is taken into account.…”
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Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory by Jin-soo Hwang

“…We show the first and twice Fréchet differentiabilities of the nonlinear solution map from a bilinear input term to the weak solution of the equation. …”
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THE TECHNIQUES SEPARATING THREE OVERLAP PEAKS IN GAMMA SPECTRUM by Trịnh Ngọc Pháp, Mai Xuân Trung

“…The calculation procedure was performed by the Levenberg-Marquardt algorithm with linear and nonlinear background. Based on separating the two overlap peaks method has been implemented in our previous article, the separating three overlap peaks was successfully implemented in this paper, in which the calculations were tested with gamma-ray spectra by using a Semiconductor detector and a Scintillator detector.…”
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Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

“…These subalgebras are then used to reduce the underlying equation to nonlinear third-order ordinary differential equations. …”
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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

“…The underlying equation has applications in mechanics and nonlinear dynamics as well. This equation has been widely studied in the qualitative scheme. …”
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Multiple-Model Cardinality Balanced Multitarget Multi-Bernoulli Filter for Tracking Maneuvering Targets by Xianghui Yuan, Feng Lian, Chongzhao Han

“…Then, the extended Kalman (EK) and unscented Kalman filtering approximations for the GM-MM-CBMeMBer filter to accommodate mildly nonlinear models are described briefly. Simulation results are presented to show the effectiveness of the proposed filter.…”
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Analytical Model for Deflections of Bonded Posttensioned Concrete Slabs by Min Sook Kim, Joowon Kang, Young Hak Lee

“…A finite element model was established based on layered and degenerated shell elements. Nonlinearities of the materials are considered using the stress-strain relationships for concrete, reinforcing steel, and prestressing tendons. …”
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Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis by Abayneh Kebede Fantaye, Zerihun Kinfe Birhanu

“…In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. …”
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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator by Ahmed Sami Abdulghafour, Raid Kamel Naji

“…The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. …”
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The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces by Ge Dong, Xiaochun Fang

“…The differential part is driven by a Leray-Lions operator in Orlicz-Sobolev spaces, while the nonlinear term g:Ω×R×RN→R is a Carathéodory function satisfying a growth condition. …”
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Copula-based trading of cointegrated cryptocurrency Pairs by Masood Tadi, Jiří Witzany

“…To identify the most suitable pairs and generate trading signals formulated from a reference asset for analyzing the mispricing index, the study employs linear and nonlinear cointegration tests, a correlation coefficient measure, and fits different copula families, respectively. …”
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Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction by Poom Kumam, Fayyaz Rouzkard, Mohammad Imdad, Dhananjay Gopal

“…Motivated by this paper, we prove results on coincidence points for a pair of weakly increasing mappings satisfying a nonlinear contraction condition described by a rational expression on an ordered complete metric space. …”
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Safe Control for Spiral Recovery of Unmanned Aerial Vehicle by Chang-Jian Ru, Rui-Xuan Wei

“…Then, based on control scheduling of state variables and nonlinear dynamic inversion control laws, the spiral recovery controller is designed to accomplish guidance and control of spiral recovery. …”
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