Impulsive Control and Synchronization of Complex Lorenz Systems by Shaban Aly, Ali Al-Qahtani, Houari B. Khenous, Gamal M. Mahmoud

“…In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. …”
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Controller Design of Multiinput Multioutput Time-Delay Large-Scale System by Chia-Wei Lin, Tzuu-Hseng S. Li, Chung-Cheng Chen

“…The paper presents a novel feedback linearization controller of nonlinear multiinput multioutput time-delay large-scale systems to obtain both the tracking and almost disturbance decoupling (ADD) performances. …”
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The General Traveling Wave Solutions of the Fisher Equation with Degree Three by Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li

“…Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.…”
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Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales by Yongkun Li, Chao Wang

“…Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.…”
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Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions by A. Roldán, J. Martínez-Moreno, C. Roldán, E. Karapınar

“…We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. …”
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A Novel Approach to Measure the Hydraulic Capacitance of a Microfluidic Membrane Pump by Chun-Hui Wu, Chia-Wei Chen, Long-Sheng Kuo, Ping-Hei Chen

“…The measured hydraulic capacitance data and the proposed equations in the linear and nonlinear regions qualitatively exhibited good agreement.…”
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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented. From the error equation of this class, different families of iterative schemes with memory can be designed increasing the order of convergence up to six. …”
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Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation by Buffe, Rémi, Takahashi, Takéo

“…Then, the result on the nonlinear system is obtained by a fixed-point argument.…”
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Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability by Manuel De la Sen, Asier Ibeas

“…Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.…”
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Optimal feedback control of dynamical systems via value-function approximation by Kunisch, Karl, Walter, Daniel

“…A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. …”
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Islanding Detection for Microgrid Based on Frequency Tracking Using Extended Kalman Filter Algorithm by Bin Li, Jingpeng Wang, Hailong Bao, Huiying Zhang

“…Taylor series expansion was introduced to solve nonlinear state equations. In addition, a typical microgrid model was built using MATLAB/SIMULINK. …”
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Analyzing Similarity Solution of Modified Fisher Equation by Esen Hanaç Duruk, Mehmet Emir Koksal, Ram Jiwari

“…In this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. …”
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Asymptotic and numerical solutions for diffusion models for compounded risk reserves with dividend payments by S. Shao, C. L. Chang

“…After defining the process of conditional probability in finite time, martingale theory turns the nonlinear stochastic differential equation to a special class of boundary value problems defined by a parabolic equation with a nonsmooth coefficient of the convection term. …”
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Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces by Mohammed Ali Alghamdi, Naseer Shahzad, Habtu Zegeye

“…Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.…”
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Sliding Mode-Based Control of a UAV Quadrotor for Suppressing the Cable-Suspended Payload Vibration by Tom Kusznir, Jaroslaw Smoczek

“…This paper addresses the problem of damping vibrations of a cable-suspended payload during positioning of the quadrotor. A nonlinear model is derived for the coupled quadrotor-pendulum system in the X-Z plane using Euler–Lagrange formulation. …”
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On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods by A. K. Gupta, S. Saha Ray

“…Comparison between the obtained solutions with the exact solutions exhibits that both the featured methods are effective and efficient in solving nonlinear problems. The obtained results justify the applicability of the proposed methods for fractional order Burgers-Fisher and generalized Fisher’s equations.…”
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An Analytical Study of the External Environment of the Coevolution between Manufacturing and Logistics Based on the Logistic Model by Yunfei Zhou, Li Yan

“…This paper discusses the cooperative mechanism of external random interference factors on system evolution, analyzes the nonlinear variation of external environmental factors with time, and gives the estimation method. …”
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Qualitative Analyses of Fractional Integrodifferential Equations with a Variable Order under the Mittag-Leffler Power Law by Mdi Begum Jeelani, Abeer S. Alnahdi, Mohammed A. Almalahi, Mohammed S. Abdo, Hanan A. Wahash, Nadiyah Hussain Alharthi

“…This research paper intends to study some qualitative analyses for a nonlinear fractional integrodifferential equation with a variable order in the frame of a Mittag-Leffler power law. …”
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Approximate Analytical Solution for the Forced Korteweg-de Vries Equation by Vincent Daniel David, Mojtaba Nazari, Vahid Barati, Faisal Salah, Zainal Abdul Aziz

“…HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter ℏ, where it is easy to adjust and control the convergence region of the series solution. …”
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Application of Asymptotic Analysis of a High-Dimensional HJB Equation to Portfolio Optimization by Lei Hu

“…The Hamilton–Jacobi–Bellman equation formulated from the optimal investment problem is a high-dimensional nonlinear partial differential equation and difficult to find its analytical or numerical solutions. …”
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