Formation Producing Control of Multi-Quadcopter Systems Under the Cloud Access by Nargess Sadeghzadeh-Nokhodberiz, Mohammad-Reza Ghahramani-Tabrizi, Allahyar Montazeri

“…For this purpose, the problem of cloud-based formation control for a nonlinear 6-DOF under-actuated multi-quadcopter system is studied in this paper. …”
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Estimation of Critical Safety Thickness of the Base against Confined Water Inrush for a Rectangular Foundation Pit by Qin-xing Li, Hong-tao Wang, Yan-qing Men, Xiao Yu, Chi Liu, Hua-jun Zhang

“…The results show that the critical safety thickness of the base is positively correlated with nonlinear coefficient and confined water pressure but negatively correlated with cohesion, internal friction angle, nonhomogeneity coefficient, and unit weight. …”
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Unsupervised Anomaly Detection in Hyperspectral Imaging: Integrating Tensor Robust Principal Component Analysis With Autoencoding Adversarial Networks by Atsuya Emoto, Ryo Matsuoka

“…Our method utilizes the AEAN model to learn a nonlinear low-dimensional representation of the spectral characteristics of background regions, which is then incorporated into the TRPCA framework. …”
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Principled neuromorphic reservoir computing by Denis Kleyko, Christopher J. Kymn, Anthony Thomas, Bruno A. Olshausen, Friedrich T. Sommer, E. Paxon Frady

“…Abstract Reservoir computing advances the intriguing idea that a nonlinear recurrent neural circuit—the reservoir—can encode spatio-temporal input signals to enable efficient ways to perform tasks like classification or regression. …”
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Interpretable Machine Learning Insights into the Factors Influencing Residents’ Travel Distance Distribution by Rui Si, Yaoyu Lin, Dongquan Yang, Qijin Guo

“…However, few studies have explored the nonlinear relationships between travel distance patterns and environmental factors. …”
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A Study on Self-Consolidate Concrete in Experimental Reinforced-Concrete Beam Column Structures with Alccofine and Steel Fiber by G. Vimal Arokiaraj, G. Elangovan

“…The percentage of superplasticizer, viscosity modification agent, and crimped steel fiber is maintained. Nonlinear finite element analysis (FEA) to analyse the beam column joint through nonlinear finite element modelling (NLFEM) and the modelling results were compared from the experimental results. …”
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Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation by Letlhogonolo Daddy Moleleki, Chaudry Masood Khalique

“…We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. …”
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Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative by You-Hui Su, Weili Wu, Xingjie Yan

“…We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. …”
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Some Properties of Solutions to Multiterm Fractional Boundary Value Problems with p-Laplacian Operator by KumSong Jong, HuiChol Choi, KyongJun Jang, SongGuk Jong, KyongSon Jon, Ok Ri

“…In this paper, we study some properties of positive solutions to a class of multipoint boundary value problems for nonlinear multiterm fractional differential equations with p-Laplacian operator. …”
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Sociodynamics applied to the evolution of urban and regional structures by Wolfgang Weidlich

“…The central concepts of sociodynamics include transition rates depending on dynamic utilities and the master equation for the probability distribution over macrovariables. From it the set of nonlinear coupled differential equations for the quasi-meanvalues of the macrovariables can be derived.…”
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Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions by SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi

“…In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. …”
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Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Probl... by Yan Tang

“…Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings.…”
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On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics by Young Ik Kim, Young Hee Geum

“…With an error corrector via principal branch of the mth root of a function-to-function ratio, we propose optimal quartic-order multiple-root finders for nonlinear equations. The relevant optimal order satisfies Kung-Traub conjecture made in 1974. …”
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Internal eradicability for an epidemiological model with diffusion by Sebastian Aniţa, Bedreddine Ainseba

“…Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.…”
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Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series by Xiang-Chao Shi, Lan-Lan Huang, Zhen-Guo Deng, Dan Liu

“…In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience.…”
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Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA by Taher S. Hassan, A.A. Elmandouh, Adel A. Attiya, Ahmed Y. Khedr

“…This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. …”
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Bifurcation Problems for Generalized Beam Equations by Fosheng Wang

“…The proof of the main results relies heavily on calculus facts rather than such complicated arguments as Lyapunov-Schmidt reduction technique or Morse index theory from nonlinear functional analysis.…”
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A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation by Zhen Wang, Li Zou, Zhi Zong, Hongde Qin

“…We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. …”
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Multiplicity of Quasilinear Schrödinger Equation by Xiaorong Luo, Anmin Mao, Xiangxiang Wang

“…In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. …”
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The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions by Hassan A. Zedan, W. Barakati, Nada Hamad

“…HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison of the HPM results with the HAM results, and compute the absolute errors between the exact solutions of the DS equations with the HPM solutions and HAM solutions are obtained.…”
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