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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Accurate Parameter Estimation for Unbalanced Three-Phase System by Yuan Chen, Hing Cheung So

“…After converting the three-phase waveforms into a pair of orthogonal signals via the αβ-transformation, the nonlinear least squares (NLS) estimator is developed for accurately finding the frequency, phase, and voltage parameters. …”
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Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory by Lingli Guo, Zhengguang Xu, Ye Wang

“…Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by K-means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. …”
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Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation by Naveed Iqbal, Azmat Ullah Khan Niazi, Ramsha Shafqat, Shamsullah Zaland

“…In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form  0cDIγxI=αxI+PI,xI+AIWI,I∈0,T,xI0=x0, in which γ∈0,1, E1 is the fuzzy metric space and I=0,T is a real line interval. …”
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Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind by José Antonio Ezquerro, Miguel Ángel Hernández-Verón

“…So, we present a strategy that consists of approximating the kernel of the nonlinear integral equation by a Chebyshev interpolation polynomial, which is separable. …”
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Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media by Piyush R. Mistry, Vikas H. Pradhan, Khyati R. Desai

“…An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.…”
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Fractional-Order Epidemic Model for Measles Infection by Philip N. A. Akuka, Baba Seidu, Eric Okyere, Stephen Abagna

“…In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional-order derivative operator. …”
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A Mathematical Characterization for Patterns of a Keller-Segel Model with a Cubic Source Term by Shengmao Fu, Ji Liu

“…It is proved that, given any general perturbation of magnitude δ, its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes, over a time period of the order ln(1/δ). …”
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Two-Stage Adaptive Optimal Design with Fixed First-Stage Sample Size by Adam Lane, Nancy Flournoy

“…For simplicity, we assume a nonlinear regression model with normal errors. We show that the distribution of the maximum likelihood estimates converges to a scale mixture family of normal random variables. …”
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Effects of Duct Cross Section Camber and Thickness on the Performance of Ducted Propulsion Systems for Aeronautical Applications by Rodolfo Bontempo, Marcello Manna

“…The axisymmetric flow field around a ducted rotor is thoroughly analysed by means of a nonlinear and semi-analytical model which is able to deal with some crucial aspects of shrouded systems like the interaction between the rotor and the duct, and the slipstream contraction and rotation. …”
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Effects of Soret and Dufour on Unsteady Magneto-Convective Transport through a Vertical Perforated Sheet with Chemical Reaction by Md. Mosharrof Hossain, Md. Hasanuzzaman, A. Rahim Laskar, Ashish Barmon

“…The model that formed nonlinear governing equations is transformed by applying the similarity analysis with the help of the finite difference method. …”
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A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory by Chang Lehao, Tian Hongwei, He Zhaoxia, Liu Geng

“…The mesh stiffness and load distribution can be obtained after solving the nonlinear contact equilibrium equations. Compared with the conventional finite element method,the proposed method has higher computational efficiency and stability. …”
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Synchronization in pth Moment for Stochastic Chaotic Neural Networks with Finite-Time Control by Yuhua Xu, Jinmeng Wang, Wuneng Zhou, Xin Wang

“…Compared with some existing results about finite-time mean square stability of stochastic neural network, we obtain some useful criteria of finite-time synchronization in pth moment for chaotic neural networks based on finite-time nonlinear feedback control and finite-time adaptive feedback control, which are efficient and easy to implement in practical applications. …”
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Existence Results for Polyharmonic Boundary Value Problems in the Unit Ball by Sonia Ben Othman, Habib Mâagli, Malek Zribi

“…Here we study the polyharmonic nonlinear elliptic boundary value problem on the unit ball B in ℝn(n≥2)(−△)mu+g(⋅,u)=0, in B (in the sense of distributions) limx→ξ∈∂B(u(x)/(1−|x|2)m−1)=0(ξ). …”
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Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure by R.R. Aguiar, H.I. Weber

“…The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. …”
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The evolutionarydynamics of a population model with a strong Allee effect by Jim M. Cushing

“…An evolutionary game theoretic model for a population subject to predationand a strong Allee threshold of extinction is analyzed using, among othermethods, Poincaré-Bendixson theory. The model is a nonlinear, planeautonomous system whose state variables are population density and the meanof a phenotypic trait, which is subject to Darwinian evolution, thatdetermines the population's inherent (low density) growth rate (fitness). …”
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Actuator Fault Diagnosis in a Boeing 747 Model via Adaptive Modified Two-Stage Kalman Filter by Fikret Caliskan, Youmin Zhang, N. Eva Wu, Jong-Yeob Shin

“…An adaptive modified two-stage linear Kalman filtering algorithm is utilized to identify the loss of control effectiveness and the magnitude of low degree of stuck faults in a closed-loop nonlinear B747 aircraft. Control effectiveness factors and stuck magnitudes are used to quantify faults entering control systems through actuators. …”
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Dinámicas de la violencia en una realidad disruptiva: la deshumanización acelerada por la IA by Reinaldo Batista Cordova

“…These are three complex and nonlinear concepts, which implies an implicit difficulty in relating them to understand a possible, yet not evident correlation. …”
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Neural network blind equalization optimized by parallel genetic algorithm with partial elitist strategy by Er-fu WANG, Yuan-shuo ZHENG, Xin-wu CHEN

“…The simulation results under the nonlinear channel condition show that the method has better convergence performance.…”
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Robust Control for the Suspension Cable System of the Unmanned Helicopter with Sensor Fault under Complex Environment by Rong Mei

“…To suppress the swing of the hanging load when the unmanned helicopter is in the forward flight state, a nonlinear line motion model is firstly established. …”
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