Investigation of a spatial double pendulum: an engineering approach by S. Bendersky, B. Sandler

“…Matlab computer programs were used for solving the nonlinear differential equations by the Runge-Kutta method. …”
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New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation by Yu-Ming Chu, Shumaila Javeed, Dumitru Baleanu, Sidra Riaz, Hadi Rezazadeh

“…This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). …”
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Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…The existence of at least one solution is proved by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative. Some illustrative examples are also presented.…”
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Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth by Yakui Xue, Tiantian Li

“…Besides, we compare the delayed SIR epidemic model with nonlinear incidence rate to the one with bilinear incidence rate. …”
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Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model by Yolanda Guerrero Sánchez, Zulqurnain Sabir, Hatıra Günerhan, Haci Mehmet Baskonus

“…The pivotal aim of the present study is to propose the nonlinear mathematical model of the nervous stomach system based on three compartments namely, tension (T), food (F), and medicine (M). …”
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The numerical models of the estimation of the electrooptical parameters of GaAs by Albertas Pincevičius, Rimantas-Jonas Rakauskas, Svajonė Vošterienė

“…The system of the six nonlinear ordinary differen­tial equations is solved. …”
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On Transformation Involving Basic Analogue of Multivariable H-Function by Dinesh Kumar, Frédéric Ayant, Jessada Tariboon

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Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions by Haifa Bin Jebreen

“…To find the solution, the generalized minimal residual method (GMRES method) and Newton’s method are used in linear and nonlinear forms of this system, respectively. The method’s convergence is proven, and some illustrative examples confirm it. …”
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Construction of Target Controllable Image Segmentation Model Based on Homotopy Perturbation Technology by Shu-Li Mei

“…The solution of the variational model is the nonlinear PDEs deduced by the variational approach. …”
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A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative by Badr Saad T. Alkahtani

“…The whole quantity of each compartment is divided into small parts, and then the sum of these all parts is written as a series solution for each agent of the system, while the nonlinear part is decomposed using the Adomian polynomial. …”
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Helicopter Control Energy Reduction Using Moving Horizontal Tail by Tugrul Oktay, Firat Sal

“…For this intention complex, physics-based, control-oriented nonlinear helicopter models are used. Equations of MHT are integrated into these models and they are together linearized around straight level flight condition. …”
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Improved Multiple Lyapunov Functions of input-to-output Stability and input-to-state Stability for Switched Systems by Shizhang Chen, Chongyang Ning

“…This paper investigates the Lyapunov characterizations of input-to-output stability (IOS) and input-to-state stability (ISS) for nonlinear switched systems. The restriction on the negativity of derivatives of Lyapunov functions is relaxed; additionally, subsystems are not restricted to be ISS/IOS throughout the state space. …”
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Robust control problems of vortex dynamics in superconducting films with Ginzburg-Landau complex systems by Aziz Belmiloudi

“…Firstly, we introduce the perturbation problem of the nonlinear governing coupled system of equations (the deviation from the desired target). …”
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Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients by Li-hua Zhang

“…Applying the characteristic equations of the obtained symmetries, the (2 + 1)-dimensional KP equation is reduced to (1 + 1)-dimensional nonlinear partial differential equations, including a special case of (2 + 1)-dimensional Boussinesq equation and different types of the KdV equation. …”
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Optimization of Aircraft Flight Trajectory Combined with Thinking Navigation Algorithm by Yifan Yang

“…By processing the original satellite clock error data by the first-order difference method, the modeling data can be more suitable for nonlinear characteristics. Moreover, this paper chooses a simple network structure and uses the MEA to select the optimal initial parameters of the model for the BP neural network, which can avoid the local optimization of the BP neural network results. …”
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Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization by Shah Faisal, Muhammad Adil Khan, Tahir Ullah Khan, Tareq Saeed, Zaid Mohammmad Mohammad Mahdi Sayed

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A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability by Dhinakaran Veeman, Hayder Natiq, Ahmed M. Ali Ali, Karthikeyan Rajagopal, Iqtadar Hussain

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On the Dynamics of the Furuta Pendulum by Benjamin Seth Cazzolato, Zebb Prime

“…It provides a compact yet impressive platform for control demonstrations and draws the attention of the control community as a platform for the development of nonlinear control laws. Despite the popularity of the platform, there are very few papers which employ the correct dynamics and only one that derives the full system dynamics. …”
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Synchronization of Chaotic Delayed Neural Networks via Impulsive Control by Yang Fang, Kang Yan, Kelin Li

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Restrictive metric regularity and generalized differential calculus in Banach spaces by Boris S. Mordukhovich, Bingwu Wang

“…We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X). …”
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