Semisupervised Kernel Marginal Fisher Analysis for Face Recognition by Ziqiang Wang, Xia Sun, Lijun Sun, Yuchun Huang

“…SKMFA can make use of both labelled and unlabeled samples to learn the projection matrix for nonlinear dimensionality reduction. Meanwhile, it can successfully avoid the singularity problem by not calculating the matrix inverse. …”
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Travelling wave solutions to some PDEs of mathematical physics by Kourosh Nozari, Ghasem Alizadeh Afrouzi

“…Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. …”
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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems by Waleeda Swaidan, Amran Hussin

“…The proposed method has been applied to solve linear and nonlinear optimal control problems with infinite time horizon. …”
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Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems by Xiaona Song, Mi Wang, Shuai Song, Jingtao Man

“…This paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. …”
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Higher-Order Multifractal Detrended Partial Cross-Correlation Analysis for the Correlation Estimator by Keqiang Dong, Xiaojie Gao

“…In this paper, we develop a new method to measure the nonlinear interactions between nonstationary time series based on the detrended cross-correlation coefficient analysis. …”
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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. …”
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Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions by A. Beléndez, M. L. Alvarez, J. Francés, S. Bleda, T. Beléndez, A. Nájera, E. Arribas

“…To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in Chebyshev polynomials and the original nonlinear differential equation is approximated by a cubic Duffing equation. …”
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Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy by Yong-Hui Xia, Xiaoqing Yuan, Kit Ian Kou, Patricia J. Y. Wong

“…The essential condition of these previous results is based on the assumption that the nonlinear term satisfies |f(t,x)|≤μe−ε|t|. However, this condition is very restricted. …”
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Acoustic Characterization of Fluorinert FC-43 Liquid with Helium Gas Bubbles: Numerical Experiments by Christian Vanhille, Cristian Pantea, Dipen N. Sinha

“…Very low sound speed and high sound attenuation are found, in addition to a particularly high acoustic nonlinear parameter. This result suggests the possibility of using this medium as a nonlinear enhancer in various applications. …”
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Numerical Simulations and Control of Offshore Energy Harvesting Using Piezoelectric Materials in a Portal Frame Structure by Wagner B. Lenz, Mauricio A. Ribeiro, Rodrigo T. Rocha, Jose M. Balthazar, Angelo M. Tusset

“…Thus, using the current models for a portal frame in the literature and the spectrum of available energy in sea waves, a nonlinear mathematical model accounting for the coupling of a nonlinear piezoelectric material is considered. …”
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Extendability of Equilibria of Nematic Polymers by Hongyun Wang, Hong Zhou

“…We formulate equilibrium states as solutions of a nonlinear system and calculate the determinant of the Jacobian matrix of the nonlinear system. …”
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Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions by Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon

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Optical leptons by Lubomir M. Kovachev

“…We obtain optical vortices with classical orbital momentum ℓ=1 and spin j=±1/2 as exact solutions of a system of nonlinear Maxwell equations (NMEs). Two kinds of Kerr-type media, namely, those with and without linear dispersion of the electric and the magnet susceptibility, are investigated. …”
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Epidemic models with differential susceptibility and stagedprogression and their dynamics by James M. Hyman, Jia Li

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Synchronization of Coupled Networks with Uncertainties by Yi Zuo, Xinsong Yang

“…A distinct feature of the network is that all the dynamical nodes are affected by uncertain nonlinear nonidentical perturbations. In order to synchronize the network onto a given isolate trajectory, a novel adaptive controller is designed to overcome the effects of the nonidentical uncertain nonlinear perturbations. …”
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Motions of a Powered Top with a Spherical Tip on a Curved Surface by David C. Meeker, Miles A. Townsend

“…The movement of the top is simulated by an integration of the fully nonlinear equations of motion and compared with the partially linearized results.…”
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Comment on “Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications” by Ziyatkhan Aliyev

“…As applications of this result, these authors study the existence of nodal solutions for a class of nonlinear fourth-order eigenvalue problems with sign-changing weight. …”
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Some Inevitable Remarks on “Tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings” by Hamed H. Alsulami, Antonio-Francisco Roldán-López-de-Hierro, Erdal Karapınar, Stojan Radenović

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Detection of ultrafast electron energization by whistler-mode chorus waves in the magnetosphere of Earth by S. Kurita, Y. Miyoshi, S. Saito, S. Kasahara, Y. Katoh, S. Matsuda, S. Yokota, Y. Kasahara, A. Matsuoka, T. Hori, K. Keika, M. Teramoto, I. Shinohara

“…Our findings indicate that these transient flux variations result from the nonlinear acceleration of electrons induced by the chorus waves, highlighting the importance of nonlinear wave-particle interactions in creating high energy electrons in the Earth’s magnetosphere. …”
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Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind by François Dubeau

“…We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.…”
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