A Bayes Formula for Nonlinear Filtering with Gaussian and Cox Noise by Vidyadhar Mandrekar, Thilo Meyer-Brandis, Frank Proske

“…A Bayes-type formula is derived for the nonlinear filter where the observation contains both general Gaussian noise as well as Cox noise whose jump intensity depends on the signal. …”
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Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation by Jing-Jing Zhang, Xiang-Gui Li, Jing-Fang Shao

“…A high-order accuracy numerical method is proposed to solve the (1+1)-dimensional nonlinear Dirac equation in this work. We construct the compact finite difference scheme for the spatial discretization and obtain a nonlinear ordinary differential system. …”
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Well-posedness and controllability of a nonlinear system for surface waves by Alex Montes, Ricardo Córdoba

Subjects: “…nonlinear system…”
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Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle by Tianhong Xiong, Xianyi Li, Yipin Lv, Wenjun Yi

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Nonlinear differential equations with neutral term: Asymptotic behavior of solutions by Maryam AlKandari

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Nonlinear Min-Cost-Pursued Route-Swapping Dynamic System by Wenyi Zhang, Wei Guan, Jihui Ma, Tao Wang

“…This study proposes a nonlinear min-cost-pursued swapping dynamic (NMSD) system to model the evolution of selfish routing games on traffic network where travelers only swap from previous costly routes to the least costly ones. …”
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A Novel Nonlinear LPDA Design for HF Direction Finding by Xiaofei Ren, Hu Li, Shuxi Gong

“…Here, we propose a design method which uses the continuous change of both the scale factor and the spacing factor so that the length of the dipoles and the space between dipoles vary nonlinearly. One advantage of our design is that the effective distance between the phase center position and the feed point of LPDA can be increased. …”
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Global Asymptotic Stability of a Family of Nonlinear Difference Equations by Maoxin Liao

“…In this note, we consider global asymptotic stability of the following nonlinear difference equation xn=(∏i=1v(xn-kiβi+1)+∏i=1v(xn-kiβi-1))/(∏i=1v(xn-kiβi+1)-∏i=1v(xn-kiβi-1)),  n=0,1,…, where ki∈ℕ  (i=1,2,…,v),  v≥2, β1∈[-1,1], β2,β3,…,βv∈(-∞,+∞), x-m,x-m+1,…,x-1∈(0,∞), and m=max1≤i≤v{ki}. …”
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Fourier Spectral Method for a Class of Nonlinear Schrödinger Models by Lei Zhang, Weihua Ou Yang, Xuan Liu, Haidong Qu

“…In this paper, Fourier spectral method combined with modified fourth order exponential time-differencing Runge-Kutta is proposed to solve the nonlinear Schrödinger equation with a source term. …”
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Nonlinear Dynamics Induced by Coil Heat in the PMDC Motor and Control by André Cheukem, Alex Stéphane Kemnang Tsafack, Arnaud Ngonting Topy, Justin Roger Mboupda Pone

“…By using simple powerful tools of analyzing nonlinear dynamical systems like phase portraits, time traces and frequency spectrum in the MATLAB-SIMULINK environment, we showed that under certain conditions, the PMDC motor develops different behaviors so as periodic limited, and chaotic attractors, when the motor drive different form of external load torque and the windings resistance variation. …”
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Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink by Tianjiao Zhang, Luyu Li, Yilin Zheng

“…The dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. …”
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Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies by Jürgen Geiser

“…Moreover, nonlinearity is a challenge to splitting schemes, while one has to extend the exp-functions in terms of a nonlinear Magnus expansion. …”
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Representation of the solution of a nonlinear molecular beam epitaxy equation by Boubaker Smii

“…In this paper, we focus on a specific type of such SPDEs, namely the nonlinear beam epitaxy equation driven by Lévy noise. …”
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Recent Advances in Graphene-Assisted Nonlinear Optical Signal Processing by Jian Wang, Xiao Hu

“…So, we believe that the potential applications of graphene also lie in nonlinear optical signal processing, where the combination of its unique large χ(3) nonlinearities and dispersionless over the wavelength can be fully exploited. …”
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An Efficient Algorithm for Ill-Conditioned Separable Nonlinear Least Squares by Jiayan Wang, Lanlan Guo, Zongmin Li, Xueqin Wang, Zhengqing Fu

“…For separable nonlinear least squares models, a variable projection algorithm based on matrix factorization is studied, and the ill-conditioning of the model parameters is considered in the specific solution process of the model. …”
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On closed-form solutions of some nonlinear partial differential equations by S. S. Okoya

“…Also, we study the corresponding nonlinear wave equation.…”
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Nonlinear ARIMA Models with Feedback SVR in Financial Market Forecasting by Shiwei Su

“…Based on the characteristics of financial markets containing both linear and nonlinear components, this paper chooses to use Autoregressive Integrated Moving Average (ARIMA) model and feedback Support Vector Regression (SVR) models to effectively integrate the ARIMA model and the SVR model, taking into account their respective linear and nonlinear characteristics. …”
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Crack detection in beam-like structures by nonlinear harmonic identification by Paolo Casini, Fabrizio Vestroni, Oliviero Giannini

Subjects: “…Fatigue crack; Damage identification; Nonlinear dynamics; Cracked beam model.…”
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Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients by Xin-Lei Mai, Wei Li, Shi-Hai Dong

“…In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. …”
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Novel Feature Selection Method for Nonlinear Support Vector Regression by Kejia Xu, Ying Xu, Yafen Ye, Weijie Chen

“…The development of sparse techniques presents a major challenge to complex nonlinear high-dimensional data. In this paper, we propose a novel feature selection method for nonlinear support vector regression, called FS-NSVR, which first attempts to solve the nonlinear feature selection problem in the regression technology field. …”
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