Linearization: Geometric, Complex, and Conditional by Asghar Qadir

“…Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary. …”
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Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains by Yu-Jun Zhang, Li-Bing Wu, Hong-Yang Zhao, Xiao-Dong Hu, Wen-Yu Zhang, Dong-Ying Ju

“…In this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. …”
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Pulse Width Modulation Control of Mecanum-Wheeled Mobile Robot With Random Noise by Ruijie Yin, Zhaojing Wu, Likang Feng

“…As a preliminary, PWM strategy of random nonlinear systems is obtained by the aid of the functional analysis tool. …”
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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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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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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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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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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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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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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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