Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons by Janarthanan Ramadoss, Sajedeh Aghababaei, Fatemeh Parastesh, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain

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A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems by Yasser Mohamed Hamada

“…A new method based on shifted Chebyshev series of the first kind is introduced to solve stiff linear/nonlinear systems of the point kinetics equations. The total time interval is divided into equal step sizes to provide approximate solutions. …”
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Application of Gap Metric to LADRC Design in Multilinear Model of SDR by Hongfu Wang, Qinghua Zeng, An Wang, Zongyu Zhang

“…This greatly simplifies the parameter tuning process of the LADRC when it was applied to strongly nonlinear systems. Finally, through the comparison of simulation with adaptive PI controller and model-assisted LADRC (M-LADRC), the results have shown that the control method designed in this paper can obtain satisfactory performance and has a good engineering application prospect.…”
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Power Forecasting of Combined Heating and Cooling Systems Based on Chaotic Time Series by Liu Hai, Song Yong, Du Qingfu

“…Firstly, chaos should be detected and quantified for the intensive studies of nonlinear systems. If the largest Lyapunov exponent is positive, the dynamical system must be chaotic. …”
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Analysis, Filtering, and Control for Takagi-Sugeno Fuzzy Models in Networked Systems by Sunjie Zhang, Zidong Wang, Jun Hu, Jinling Liang, Fuad E. Alsaadi

“…The fuzzy logic theory has been proven to be effective in dealing with various nonlinear systems and has a great success in industry applications. …”
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Adaptive Sliding Mode Control of Mobile Manipulators with Markovian Switching Joints by Liang Ding, Haibo Gao, Kerui Xia, Zhen Liu, Jianguo Tao, Yiqun Liu

“…It has been shown that the adaptive control problem for the Markovian jump nonlinear systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions. …”
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Optimal LQG controller design for inverted pendulum systems using a comprehensive approach by Monika Rani, Sushma S. Kamlu

“…Abstract Controlling nonlinear systems, such as the inverted pendulum on a moving cart, presents a well-known challenge due to the system’s nonlinearities and highly coupled states. …”
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Chaos Prediction in Fractional Delayed Energy-Based Models of Capital Accumulation by Mohamed El-Borhamy, Tamer Medhat, Manal E. Ali

“…In accordance with the literatures related to the problem of chaos, the concluded results confirm the proposed theorem by El-Borhamy in which the time delay possesses the ability to change the dynamic state of nonlinear systems from regular to chaotic within the fractional order derivative domain.…”
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Chaotic Motions in the Real Fuzzy Electronic Circuits by Shih-Yu Li, Cheng-Hsiung Yang, Chin-Teng Lin, Li-Wei Ko, Tien-Ting Chiu

“…Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. …”
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A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Enc... by Janarthanan Ramadoss, Romanic Kengne, Dianorré Tokoue Ngatcha, Victor Kamdoum Tamba, Karthikeyan Rajagopal, Marceline Motchongom Tingue

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A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing by Arthanari Ramesh, Alireza Bahramian, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain

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Displacement Transmissibility Characteristics of Harmonically Base Excited Damper Isolators with Mixed Viscous Damping by Xiaojuan Sun, Jianrun Zhang

“…Also, the influence of nonlinear damping on the response characteristics is investigated by comparing the transmissibility of linear and nonlinear systems. The resonant frequency always shifts to a lower value as the nonlinear damping component of the force fd(x˙)=c1x˙+c2|x˙|x˙ becomes stronger, and when the damping ratio in the corresponding linear model is relatively high, the relative transmissibility decreases at frequencies higher than the resonance frequency of the corresponding linear damping system and the absolute one increases for the frequency ratios above 2. …”
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Fractional Grassi–Miller Map Based on the Caputo h-Difference Operator: Linear Methods for Chaos Control and Synchronization by Ibtissem Talbi, Adel Ouannas, Giuseppe Grassi, Amina-Aicha Khennaoui, Viet-Thanh Pham, Dumitru Baleanu

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A Survey on High-Order Internal Model Based Iterative Learning Control by Miao Yu, Sheng Chai

“…HOIM-based ILC for nonlinear systems is more complex than HOIM-based ILC for linear systems, and when the system parameters change iteratively, the Lyapunov-based analysis method is used instead of traditional contraction mapping method. …”
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Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate by Minghui Yao, Wei Zhang

“…The paper demonstrates how to employ the energy phase method to analyze the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of high-dimensional nonlinear systems in engineering applications. Numerical simulations show that for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate, the Shilnikov type multipulse chaotic motions can occur. …”
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Research Progress in Computational Methods for System-Level Coupling of Electromagnetic Pulse by Haiyan Xie, Jianguo Wang

“…Their abilities to analyze nonlinear systems are examined. The transient EMT method is not only applicable to nonlinear cases but can also be easily integrated with circuit or device analysis. …”
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Application of Sum of Squares Method in Nonlinear H∞ Control for Satellite Attitude Maneuvers by Fanwei Meng, Dini Wang, Penghui Yang, Guanzhou Xie

“…Simulation results show that the SOS method is comparable to the LMI method used for linear systems, and it is expected to find a broad range of applications in the analysis and design of nonlinear systems.…”
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Robust l2−l∞ Filtering for Takagi-Sugeno Fuzzy Systems with Norm-Bounded Uncertainties by Wenbai Li, Yu Xu, Huaizhong Li

“…As we know that the Takagi-Sugeno fuzzy linear systems can be used to represent smooth nonlinear systems, the studied plants can also be uncertain complex systems. …”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

“…The proposed method is based on algebraic identification, known for its robust performance in both linear and nonlinear systems. In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. …”
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A DBN-Based Deep Neural Network Model with Multitask Learning for Online Air Quality Prediction by Jiangeng Li, Xingyang Shao, Rihui Sun

“…In this paper, for the purpose of improve prediction accuracy of air pollutant concentration, a deep neural network model with multitask learning (MTL-DBN-DNN), pretrained by a deep belief network (DBN), is proposed for forecasting of nonlinear systems and tested on the forecast of air quality time series. …”
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