Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model by Lin Wang, Jinbo Ni, Chunzhi Yang

“…T-S fuzzy models are employed to approximate the unknown nonlinear systems and tracking error signals are used to update the parametric estimates. …”
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Determination of the response of a class of nonlinear time invariant systems by Sudhangshu B. Karmakar

“…This paper illustrates by means of a simple example a new approach for the determination of the time domain response of a class of nonlinear systems. The system under investigation is assumed to be described by a nonlinear differential equation with forcing term. …”
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Singularity-Free Neural Control for the Exponential Trajectory Tracking in Multiple-Input Uncertain Systems with Unknown Deadzone Nonlinearities by J. Humberto Pérez-Cruz, José de Jesús Rubio, Rodrigo Encinas, Ricardo Balcazar

“…The trajectory tracking for a class of uncertain nonlinear systems in which the number of possible states is equal to the number of inputs and each input is preceded by an unknown symmetric deadzone is considered. …”
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A Comparative Study on Qualification Criteria of Nonlinear Solvers with Introducing Some New Ones by R. H. AL-Obaidi, M. T. Darvishi

“…To achieve the criteria, different algorithms to solve nonlinear systems are categorised to three kinds. For any category, two criteria are defined to compare different algorithms in that category. …”
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Adaptive Neural Control Approach for Switched Nonlinear Discrete-Time Systems With Actuator Faults and Input Dead Zone by Ymnah Alruwaily, Mohamed Kharrat

“…In this paper, an adaptive control strategy is developed for discrete-time switched nonlinear systems with actuator faults and dead-zone input under arbitrary switching conditions. …”
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Modification of Homotopy Perturbation method for addressing systems of PDEs by Osama Alkhazaleh

“…We extend MHPM to solve more intricate nonlinear systems, showcasing its adaptability and robustness through applications to Burgers’ equations and the Brusselator model. …”
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Finite-Time Robust Stabilization for Stochastic Neural Networks by Weixiong Jin, Xiaoyang Liu, Xiangjun Zhao, Nan Jiang, Zhengxin Wang

“…Based on the recent finite-time stability theorem of stochastic nonlinear systems, sufficient conditions are established for ensuring the finite-time stability of the dynamics of SNNs in probability. …”
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A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems by Yongquan Zhou, Qifang Luo, Huan Chen

“…Based on the test of several typical nonlinear equations and a circle packing problem, the results show that the differential evolution invasive weed optimization (DEIWO) algorithm has a higher accuracy and speed of convergence, which is an efficient and feasible algorithm for solving nonlinear systems of equations.…”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The findings underscore the efficiency and reliability of the applied techniques, demonstrating their applicability to a wide range of complex nonlinear systems.…”
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Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies by Jürgen Geiser

“…We present an extension of linear splitting schemes and concentrate on nonlinear systems of differential equations and generalise in this respect the recent MPE method; see (Chin and Geiser, 2011). …”
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Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics by S. Z. Hassan, D. M. Alsaleh, Munerah Almulhem, R. A. Alomair, A. F. Daghestani, Mahmoud A. E. Abdelrahman

“…Finally, the strategy provided here is applicable to many nonlinear systems and new energy trends in natural science.…”
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Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis by Yong-Hua Liu, Ying Feng, Xinkai Chen

“…The output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. …”
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Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method by Xiaofei Zhou, Junmei Li, Yulan Wang, Wei Zhang

“…Over the past two decades, hyperchaotic system between nonlinear systems has been extensively studied. Although many kinds of numerical methods of the system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. …”
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Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams by D. Scharwald, L. Gehse, P. R. Sharapova

“…In this work, we present a theoretical approach to the generation of correlated Schmidt modes carrying OAM via parametric down-conversion (PDC) in cascaded nonlinear systems (nonlinear interferometers) pumped by Laguerre–Gaussian beams. …”
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ADAPTIVE FUZZY SLIDING MODE CONTROL FOR THE TURNTABLE SERVO SYSTEM by HUANG Pei, WANG XinYuan

“…The integral sliding mode surface is used to design the switching function and the fuzzy method is used to realize the high precision control of linear systems and nonlinear systems. The simulation results show that the adaptive fuzzy sliding mode control is not only robust and fast response speed,but also can greatly weaken the chattering phenomenon of sliding mode control under the similar control effect.…”
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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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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method by Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla

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Stabilization Using a Discrete Fuzzy PDC Control with PID Controllers and Pole Placement: Application to an Experimental Greenhouse by Amine Chouchaine, Elyes Feki, Abdelkader Mami

“…This paper proposes a control strategy for complex and nonlinear systems, based on a parallel distributed compensation (PDC) controller. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. The proposed controller is applied to the inner and outer loop for heading and position trajectory tracking control to handle the external disturbances caused by the variation in the payload weight during the flight period. …”
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Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism by Cao Shulei Xie Jin Ding Weigao

“…In the coupled system, the effects of the coupling between multi-nonlinear systems on the dynamic characteristics of the system are analyzed by the two-parameter chaotic edge method, bifurcation diagram and the maximum Lyapunov exponent. …”
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