Design of an Error-Based Adaptive Controller for a Flexible Robot Arm Using Dynamic Pole Motion Approach by Ki-Young Song, Madan M. Gupta, Noriyasu Homma

“…For illustrating the strength of this new approach, in this paper we give an example of a flexible robot with nonlinear dynamics. In the design of this feedback adaptive controller, parameters of the controller are designed as a function of the system error. …”
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Measurement System of Gear Dynamic Transmission Error based on Optical Encoder by Liang Zhihao, Zhao Kegang, Liu Yanwei, Ye Jie

“…Finally,the dynamic transmission error of the gear pair can be obtained by comparing the angle sequences of two shafts. The nonlinear dynamics model of a gear system is built and it’s solved based on fourth-order Runge-Kutta method. …”
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Nonlinear Modeling and Identification of an Aluminum Honeycomb Panel with Multiple Bolts by Yongpeng Chu, Hao Wen, Ti Chen

“…This paper focuses on the nonlinear dynamics modeling and parameter identification of an Aluminum Honeycomb Panel (AHP) with multiple bolted joints. …”
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Bifurcation Scenarios of Neural Firing Patterns across Two Separated Chaotic Regions as Indicated by Theoretical and Biological Experimental Models by Huaguang Gu, Baobao Pan, Jian Xu

“…Nonlinear dynamics can be used to identify relationships between different firing patterns, which play important roles in the information processing. …”
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Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems by Jiaju An, Wei Yang, Xiaohui Xu, Tianxiang Chen, Bin Du, Yi Tang, Quan Xu

“…This paper proposes some novel decentralized adaptive control protocols to settle the quasi-consensus problem of multiagent systems with heterogeneous nonlinear dynamics. Based on local communication with the leader and between the followers, some innovative control protocols are put forward to adapt the control gains and coupling weights simultaneously and to steer the consensus errors to some bounded areas. …”
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Dynamic behavior of solitons in nonlinear Schrödinger equations by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

“…This work represents a significant contribution to applied mathematics and nonlinear dynamics, emphasizing the physical relevance of the system in representing nonlinear wave interactions. …”
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Evaluation of the Autoparametric Pendulum Vibration Absorber for a Duffing System by Benjamın Vazquez-Gonzalez, Gerardo Silva-Navarro

“…The approximate frequency analysis reveals that the nonlinear dynamics of the externally excited system are suppressed by the pendulum absorber and, under this condition, the primary Duffing system yields a time response almost equivalent to that obtained for a linear primary system, although the absorber frequency response is drastically modified and affected by the cubic stiffness, thus modifying the jumps defined by the fixed points. …”
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Alternating Generalized Projection Method for Satellite Reflectarray Synthesis with Sequential Stages of Different Illuminations by Rafael Florencio, René Escalante

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Dynamics of Nonlinear Coupled Electrostatic Micromechanical Resonators under Two-Frequency Parametric and External Excitations by Wen-Ming Zhang, Guang Meng, Ke-Xiang Wei

“…In this paper, nonlinear dynamics and chaos of electrostatically actuated MEMS resonators under two-frequency parametric and external excitations are investigated analytically and numerically. …”
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Feedback-induced nonlinear spin dynamics in an inhomogeneous magnetic field by Tishuo Wang, Zhihuang Luo, Shizhong Zhang, Zhenhua Yu

“…Our findings contribute to future observation of nonlinear dynamical phases and prospective applications in spin masers, time crystals and quasi-crystals, and precision measurement.…”
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Asymptotic stability analysis of a fractional epidemic model for Ebola virus disease in Caputo sense by Samson Olaniyi, Furaha M. Chuma, Sulaimon F. Abimbade

“… In this work, a non-integer-order epidemic system modelling the nonlinear dynamics of Ebola virus disease is formulated in the sense of Caputo-ractional derivative. …”
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Identification of a Typical CSTR Using Optimal Focused Time Lagged Recurrent Neural Network Model with Gamma Memory Filter by S. N. Naikwad, S. V. Dudul

“…Thus FTLR NN with gamma memory filter can be used to learn underlying highly nonlinear dynamics of the system, which is a major contribution of this paper.…”
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Models, systems, networks in economics, engineering, nature and society by S.V. Chuprov, A.V. Babkin

“…The theoretical and methodological basis of the study was formed by the doctrines of thermodynamics, statistical physics, nonlinear dynamics, concepts and methods of theories catastrophe, communication and information, cybernetics and synergetics, evolutionary and innovative economics and production management. …”

Enhanced SOC estimation method for lithium-ion batteries using Bayesian-optimized TCN–LSTM neural networks by Taotao Hu, Xiting Zhu, Maokai Tian

“…Lithium-ion battery state-of-charge (SOC) estimation is crucial for enhancing the safety and performance of battery management systems and prolonging battery lifespan. However, the nonlinear dynamics of battery charging and discharging processes pose significant challenges for achieving accurate SOC estimation. …”
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Analysis of Dynamics Characteristic of Multi-span Cracked Rotor-rolling Bearing by Shen Qian, Xie Weisong, Liu Jiahang, He Zhenpeng

“…Considering the problems of eccentricity and rubbing,the nonlinear dynamics behaviors of the system caused by singular and coupled faults are numerically simulated by the variable step Runge-Kutta method. …”
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Experimental evaluation of DC-DC buck converter based on adaptive fuzzy fast terminal synergetic controller by Zahira Anane, Badreddine Babes, Noureddine Hamouda, Omar Fethi Benaouda, Saud Alotaibi, Thabet Alzahrani, Dessalegn Bitew Aeggegn, Sherif S. M. Ghoneim

“…A type-1 fuzzy logic system (T1-FLS) make the considered controller more robust and is utilized to estimate the undefined converter nonlinear dynamics without resorting to the usual linearization and simplifications of the converter model. …”
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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

“…Adaptive parameter techniques are adopted to cope with the effect of Markovian switching and nonlinear dynamics uncertainty and follow the desired trajectory for wheeled mobile manipulators. …”
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High-Precision computational solutions for nonlinear evolution models in graphene sheets by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

“…Furthermore, this study provides new insights into the nonlinear dynamics and physical properties of graphene sheets, while also identifying connections to other prominent nonlinear evolution equations. …”
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Non‐Hermitian Global Synchronization by Weixuan Zhang, Fengxiao Di, Xiangdong Zhang

“…Here, a novel approach is presented to achieve robust global synchronization by manipulating the interplay between non‐Hermitian physics and nonlinear dynamics. Remarkably, the initial‐state‐independent non‐Hermitian skin and topological global synchronization are proposed, exhibiting diverse anomalous effects such as the enlarged‐size triggered non‐Hermitian global synchronization and nonlinear skin states‐dominated global synchronization. …”
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Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment by Xue-Qin Li, Guang-Chen Bai, Lu-Kai Song, Wei Zhang

“…Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. …”
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