Classification of Alzheimer's disease using unsupervised diffusion component analysis by Dominique Duncan, Thomas Strohmer

“…The key difference between our method and others used to classify and detect AD early in its course is our nonlinear and local network approach, which overcomes calibration differences among different scanners and centers collecting MRI data and solves the problem of individual variation in brain size and shape. …”
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Relationship between Monthly Rainfall in NW Peru and Tropical Sea Surface Temperature by Juan Bazo, María de las Nieves Lorenzo, Rosmeri Porfirio da Rocha

“…The results show that linear regression model is not enough to provide satisfactory results; however, a nonlinear regression model improves considerably the prediction of rainfall anomalies in NW Peru.…”
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Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method by M Vaghefi, H Rahideh, MR Golbaher Haghighi, AK Manshad

“… This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. …”
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Probing a new regime of ultra-dense gluonic matter using high-energy photons with the CMS experiment by Verma Pranjal

“…This ambiguity hinders the separation of contributions from high and low-energy photon-nucleus interactions, restricting our ability to probe the extremely small-x regime where nonlinear QCD effects are anticipated. This writeup unveils the measurement of coherent heavy quarkonium photoproduction, addressing the two-way ambiguity by employing a forward neutron tagging technique in UPC PbPb collisions at 5.02 TeV. …”
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A New Local Modelling Approach Based on Predicted Errors for Near-Infrared Spectral Analysis by Haitao Chang, Lianqing Zhu, Xiaoping Lou, Xiaochen Meng, Yangkuan Guo, Zhongyu Wang

“…However, most chemical processes or analytes are multivariate and nonlinear in nature. To solve this problem, local errors regression method is presented in order to build an accurate calibration model in this paper, where a calibration subset is selected by a new similarity criterion which takes the full information of spectra, chemical property, and predicted errors. …”
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Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers by Ting Li, Dongyun Yan, Xiaogang Ma

“…With application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. …”
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Asymptotic Formulas for the Reflection/Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor by Eric-Gustavo Bautista, Federico Méndez, Oscar Bautista

“…The asymptotic formulas consider those cases when the geometry of the harbor can be variable in width and depth: linear or parabolic among other transitions or a combination of these geometries. For harbors with nonlinear transitions, the parabolic geometry is less reflective than the other cases. …”
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Soft Story Design of Reinforced Concrete Structures with Masonry Infill Walls by Seyed Mojtaba Hosseini Gelekolai, Mohammad Reza Tabeshpour

“…Structural modeling was carried out based on reliable parameters and some national or international seismic design codes. By using nonlinear static analysis, a simple methodology is proposed and the main result is a simple formula that can be used for the engineering design of concrete moment resistant frames.…”
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On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…We have demonstrated that He’s approach is highly effective and powerful for the solution of such a higher-order nonlinear partial differential equation through our calculations and simulations. …”
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High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation by Jing Wang, Biao Li

“…We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural way. …”
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Position Control of the Single Spherical Wheel Mobile Robot by Using the Fuzzy Sliding Mode Controller by Hamed Navabi, Soroush Sadeghnejad, Sepehr Ramezani, Jacky Baltes

“…We also describe a novel Fuzzy Sliding Mode Controller (FSMC) implemented to control a spherical wheel mobile robot. The nonlinear nature of the equations makes the controller nontrivial. …”
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Smooth imploding solutions for 3D compressible fluids by Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano

“…In addition, we provide simplified proofs of linear stability [67] and nonlinear stability [69], which allow us to construct asymptotically self-similar imploding solutions to the compressible Navier-Stokes equations with density independent viscosity for the case $\gamma =\frac 75$ . …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…The equations governing the physical model with realistic assumptions are stated and nondimensionalised leading to an intractable system of first-order coupled nonlinear differential equations, which is not amenable to exact methods of solution. …”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…In this article, two models of the forecast of time series obtained from the chaotic dynamic systems are presented: the Lorenz system, the manufacture system, and the volume of the Great Salt Lake of Utah. The theory of the nonlinear dynamic systems indicates the capacity of making good-quality predictions of series coming from dynamic systems with chaotic behavior up to a temporal horizon determined by the inverse of the major Lyapunov exponent. …”
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Fuel Cell Output Current Prediction with a Hybrid Intelligent System by José-Luis Casteleiro-Roca, Antonio Javier Barragán, Francisca Segura, José Luis Calvo-Rolle, José Manuel Andújar

“…The data used in this paper to obtain the model have been acquired from a real fuel cell subjected to different load patterns by means of a programmable electronic load. Using this data, a nonlinear model based on a hybrid intelligent system is obtained. …”
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Alternative transmission modes for Trypanosoma cruzi by Christopher M. Kribs-Zaleta

“…Analysis of the system of nonlinear differentialequations focuses on endemic prevalence levels and on the infection's basicreproductive number, whose form may account for how a combination oftraditionally secondary infection routes can maintain the transmission cyclewhen the usual primary route becomes ineffective.…”
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Gas Chromatography-Ion Mobility Spectrometry Detection of Odor Fingerprint as Markers of Rapeseed Oil Refined Grade by Tong Chen, Xingpu Qi, Mingjie Chen, Bin Chen

“…In this work, gas chromatography-ion mobility spectrometry (GC-IMS) was used to analyze the volatile organic compound changes of rapeseed oil with different refined grades, the odor fingerprints of refined rapeseed oil were constructed, and a nonlinear model was built to realize rapid and accurate discrimination of rapeseed oil with different refined grades. 124 rapeseed oil samples with different refined grades were collected and analyzed by GC-IMS and chemometric tools, and 34 characteristic peaks were selected by the colorized difference method as variables to characterize the internal quality in rapeseed oil of different refined grades. …”
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model by Yuqian Deng, Xiuxiong Liu, Yongping Zhang

“…Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. …”
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Trajectory Tracking of a Flexible Robot Manipulator by a New Optimized Fuzzy Adaptive Sliding Mode-Based Feedback Linearization Controller by M. J. Mahmoodabadi, N. Nejadkourki

“…To reach this goal, after deriving the dynamical equations of the robot, the feedback linearization approach is utilized to change the nonlinear dynamics to a linear one and find the control law. …”
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A Robust Control Scheme for a PVTOL System Subject to Wind Disturbances by Carlos Alejandro Merlo-Zapata, Carlos Aguilar-Ibanez, Octavio Gutiérrez-Frías, Mayra Antonio-Cruz, Celso Márquez-Sánchez, Miguel S. Suarez-Castanon

“…Secondly, the backstepping procedure is applied to obtain the height position controller, allowing the reduction of the system and expressing it as an integrator chain with nonlinear disturbance. Therefore, the nested saturation function method is used to obtain a stabilizing controller for the horizontal position and roll angle. …”
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