The Shock Characteristics of Tilted Support Spring Packaging System with Critical Components by An-Jun Chen

“…The nonlinear dynamical equations of tilted support spring packaging system with critical components were obtained under the action of half-sine pulse. …”
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Navigating Deeply Uncertain Tradeoffs in Harvested Predator-Prey Systems by Antonia Hadjimichael, Patrick M. Reed, Julianne D. Quinn

“…The complex ecological interactions implied by different parameterizations of such systems yield highly complex and nonlinear dynamic properties with multiple distinct basins of attraction. …”
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Fault Feature Extraction of Gear Crack based on QPSO-Volterra by Chen Li, Xiaojuan Wei, Ningzhou Li

“…The simulation results show that the high-order GIRFs are very sensitive to the nonlinear characteristics of the system caused by the gear crack failure, and can effectively characterize and distinguish the nonlinear dynamic characteristics of the gear meshing transmission system under different conditions. …”
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Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt by S. P. Chen, Y. H. Qian

“…The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues. …”
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Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement by Zhu Lingyun, Gu Meihua, Gou Xiangfeng

“…In order to reveal the dynamics and dynamic characteristics of face-gear in the transmission process, a nonlinear dynamic model of bending, torsion and pendulum of face-gear transmission system considering multi-state engagement is established. …”
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Separable Nonlinear Least-Squares Parameter Estimation for Complex Dynamic Systems by Itai Dattner, Harold Ship, Eberhard O. Voit

“…Nonlinear dynamic models are widely used for characterizing processes that govern complex biological pathway systems. …”
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A fault tolerant control for iced aircraft based on fixed-time incremental dynamic inversion with FTESO by JIANG Feihong, LIU Xiaoxiong, LIU Zhenbao, LI Yu, CHEN Jiaxin

“…To address this problem, in this paper a fixed-time incremental nonlinear dynamic inversion(INDI) control method based on a fixed-time dilated state observer(FTESO) is proposed, and a flight controller for a certain type of transport aircraft is designed based on this method, which is used to enhance the flight control capability under icing conditions, and thus improve the flight safety. …”
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Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes by Min Ye, Hongkun Zuo

“…Then, we investigate the effectiveness and the accuracy of our nonlinear dynamical mechanism analysis via computer simulations. …”
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Designing a Neural Observer to Estimate the State Variables of the Dynamical System of a Specific Class of Leukaemia by Yousef Farshidi, Reza Ghasemi, Aminin Sharafian Ardekani

“…This article aims to present a novel neural network observer-based approach in order to estimate the state variables of the nonlinear dynamical system of chronic myelogenous leukemia (CML), specially the number of the infected cells. …”
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An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric by Mahdi Ahmadi

“…In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. …”
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Numerical Simulation Study of Progressive Collapse of Reinforced Concrete Frames with Masonry Infill Walls under Blast Loading by Qinghu Xu, Xuezhi Zhen, Yu Zhang, Mengjun Han, Wenkang Zhang

“…The influence of masonry infill walls on the progressive collapse performance of reinforced concrete (RC) frame structures was investigated in this paper, using a nonlinear dynamic analysis approach. Based on ANSYS/LS-DYNA finite element software, two finite element models of RC frame structures with and without masonry infilled walls were established. …”
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The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam by Wenguang Liu, Mark E. Barkey

“…This behaviour induces not only nonlinear dynamic response but also nonlinear crack growth. …”
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INVESTIGATION ON ELASTIC CONTACT DYNAMIC STRESS OF A DEEP-GROOVE BALL BEARING BASED ON EXPLICIT DYNAMICS by TU WenBing, LUO Ya, WANG ChaoBing, ZHANG Long, CHEN QiPing

“…Considering the characteristic of elastic nonlinear contact in rolling element bearing,taking deep-groove ball bearing 6304 as investigation object,a flexible finite element dynamic model for contact nonlinear dynamic problem of a deep-groove ball bearing was established. …”
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Investigation of Nonlinear Behaviour of Semiburied Cylindrical Concrete Reservoir without Dynamic Load Effect by Mazhar Fatahi, Mahdi Meftah Halghi, Mehran Soltani Tehrani

“…Moreover, the response correcting behaviour (R) was evaluated based on the findings from a push-over and nonlinear dynamic analysis. This research finding indicated that the reservoir shapes and support types affect the deformability of the reservoirs. …”
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Research on short-term precipitation forecasting method based on CEEMDAN-GRU algorithm by Hua Xu, Zongkai Guo, Yu Cao, Xu Cheng, Qiong Zhang, Dan Chen

“…Using precipitation data from January 1, 2019, to December 31, 2022, as a sample, the model capitalizes on CEEMDAN’s superior signal decomposition capabilities and GRU’s ability to capture nonlinear dynamic patterns in time series. To assess the model’s effectiveness, comparisons were conducted with 12 benchmark models, including CEEMDAN-LSTM, EMD-GRU, EMD-LSTM, BI-LSTM, GRU, LSTM, and TCN. …”
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Effect of Seismic Frequency Spectra on Surrounding Rock Damage Evolution of Large Underground Caverns by Yumin Zhang, Zeqi Zhu, Rongchao Xu, Zhiquan Huang

“…By inputting five earthquakes of various frequency spectra, the fully nonlinear dynamic analysis was performed for some large underground caverns in the gorge and mountain region in Sichuan Province in China with the explicit difference method. …”
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Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion by Xiaolei Du, Ming Li

“…Then, the multiple-scale method is conducted to analyze the nonlinear dynamic characteristics of the mechanical system; the frequency-response curves are mainly studied under different parameters, such as the heave excitation, rotor speed, and damping; and the numerical method is also introduced to analyze its dynamic behaviors, such as the steady-state response and its corresponding phase diagram, Poincaré section. …”
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Load Parameter Identification for Parallel Robot Manipulator Based on Extended Kalman Filter by Shijie Song, Xiaolin Dai, Zhangchao Huang, Dawei Gong

“…Then, according to the dynamic model, the excitation signal is designed and a weak nonlinear dynamic model is derived. Furthermore, the identification model is presented and the identification algorithm based on the extended Kalman filter is designed. …”
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