On the Nonlinear Behavior of the Piezoelectric Coupling on Vibration-Based Energy Harvesters by Luciana L. Silva, Marcelo A. Savi, Paulo C. C. Monteiro, Theodoro A. Netto

“…Subsequently, numerical simulations are carried out showing different responses of the system indicating that nonlinear piezoelectric couplings can strongly modify the system dynamics.…”
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Synchronization of Chaotic Gyros Based on Robust Nonlinear Dynamic Inversion by Inseok Yang, Dongik Lee

“…The proposed synchronization method is based on nonlinear dynamic inversion (NDI) control. NDI is a nonlinear control technique that removes the original system dynamics into the user-defined desired dynamics. …”
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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems by Marios Andreou, Nan Chen

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A Justification of Two-Dimensional Nonlinear Viscoelastic Shells Model by Fushan Li

“…By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional nonlinear viscoelastic shells model satisfied by the leading term of asymptotic expansion of the solution to the three-dimensional equations.…”
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Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problem Duu′′+λfu=0, u(t)>0, t∈I≔(0,1), u(0)=u(1)=0, where D(u)=uk, f(u)=u2n-k-1+sin⁡u, and λ>0 is a bifurcation parameter. …”
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Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument by Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini

“…We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. …”
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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation by Ning Su, Li Zhang

“…As an application, we give the existence for a nonlinear degenerate parabolic equation.…”
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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process by Amine El Koufi

“…In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. …”
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Study on a Class of Piecewise Nonlinear Systems with Fractional Delay by Meiqi Wang, Wenli Ma, Enli Chen, Yujian Chang

“…In this paper, a dynamic model of piecewise nonlinear system with fractional-order time delay is simplified. …”
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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations by Tieshan He, Yimin Lu, Youfa Lei, Fengjian Yang

“…This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.…”
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Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation by Xiaoping Yuan

“…It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.…”
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Pinning Synchronization of Delayed Neural Networks with Nonlinear Inner-Coupling by Yangling Wang, Jinde Cao

“…Without assuming the symmetry and irreducibility of the outer-coupling weight configuration matrices, we investigate the pinning synchronization of delayed neural networks with nonlinear inner-coupling. Some delay-dependent controlled stability criteria in terms of linear matrix inequality (LMI) are obtained. …”
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Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. …”
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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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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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