Data-driven model discovery and model selection for noisy biological systems. by Xiaojun Wu, MeiLu McDermott, Adam L MacLean

“…Machine learning methods offer alternative means of model construction: differential equation models can be learnt from data via model discovery using sparse identification of nonlinear dynamics (SINDy). However, SINDy struggles with realistic levels of biological noise and is limited in its ability to incorporate prior knowledge of the system. …”
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Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2) by A. Al-khedhairi, S. S. Askar, A. E. Matouk, A. Elsadany, M. Ghazel

“…The fractional-order case is shown to exhibit rich variety of nonlinear dynamics. Lyapunov exponents are calculated to confirm the existence of wide range of chaotic dynamics in this system. …”
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Reconstruction and Prediction of Chaotic Time Series with Missing Data: Leveraging Dynamical Correlations Between Variables by Jingchan Lv, Hongcun Mao, Yu Wang, Zhihai Yao

“…Although data-driven machine learning methods have been successfully applied to predict complex nonlinear dynamics, forecasting future evolution based on incomplete past information remains a significant challenge. …”
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Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear by Haoqin Zhang, Hao Dong, Libang Wang, Xiaolong Zhao

“…In order to analyze the nonlinear amplitude frequency characteristics of marine herringbone gear transmission system more accurately， the factors such as tooth surface friction， time-varying meshing stiffness， backlash， comprehensive transmission error， external load excitation， intermediate shaft section and elastic support are comprehensively considered， a bending torsional axial pendular nonlinear dynamics model of 24-DOF marine herringbone gear transmission system is established based on the lumped mass parameter method， and the nonlinear dynamic differential equations of the system are derived. …”
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A State Estimation of Dynamic Parameters of Electric Drive Articulated Vehicles Based on the Forgetting Factor of Unscented Kalman Filter with Singular Value Decomposition by Tianlong Lei, Mingming Hou, Liaoyuan Li, Haohua Cao

“…In this paper, a state estimation method of distributed electric drive articulated vehicle dynamics parameters based on the forgetting factor unscented Kalman filter with singular value decomposition (SVD-UKF) is proposed. The 7DOF nonlinear dynamics model of a distributed electric drive articulated vehicle is established. …”
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Nonlinear radiative and mixed convective flow of an Eyring-Powell fluid with Joule heating and entropy optimization by S. Naz, T. Hayat, S. Momani

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Shifting of Nonlinear Phenomenon in the Boost converter Using Aquila Optimizer by Belkacem Korich, Derradji Bakria, Djamal Gozim, Redha Djamel Mohammedi, Mohamed Elbar, Ali Teta

“… Power electronics circuits are characterized by nonlinear dynamics, because of the cyclic switching between a finite number of topologies, which can give rise to a variety of behaviors. …”
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Autonomous Jerk Oscillator with Cosine Hyperbolic Nonlinearity: Analysis, FPGA Implementation, and Synchronization by Karthikeyan Rajagopal, Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Viet-Thanh Pham

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Performance evaluation of an optimized simplified nonlinear active disturbance rejection controller for rotor current control of DFIG-based wind energy system by Ahmed Sobhy, Medhat Hegazy Elfar, Ahmed Refaat, Mahmoud Fawzi

“…Due to the inherent nonlinear dynamics of DFIG, which increase the system's complexity, conventional proportional-integral (PI) controllers often face limitations in maintaining optimal performance. …”
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Watt-level sub-100 fs third near-infrared window laser generated by self-seeded coherent Raman amplification based on erbium-ytterbium co-doped fiber by Jiaxuan Zhang, Jintao Fan, Minglie Hu

“…Detailed numerical simulation reveals that the nonlinear dynamics of the Raman fiber amplification in the polarization-maintaining double-clad erbium-ytterbium co-doped fiber is similar to that of the Mamyshev oscillator. …”
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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Results show that the Hopf bifurcation (HB) and the saddle-node bifurcation (SNB) are inherited for the system, indicating that such bifurcations are the essence of nonlinear dynamics that lead to voltage instability. The greater the disturbance of the bifurcation parameter Q1, the shorter the time of voltage collapse and the smaller the stable operation area of the system. …”
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Nonlinear Robust Controller Applied to an Antilock Braking System With Estimation of Parametric Uncertainties and External Perturbations by Cuauhtemoc Acosta Lua, Stefano Di Gennaro

“…Achieving optimal braking conditions is challenging due to the nonlinear dynamics and parametric uncertainties present in both the longitudinal dynamics of the vehicle and the wheel dynamics. …”
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Use of Artificial Neural Networks and Multiple Linear Regression Model for the Prediction of Dissolved Oxygen in Rivers: Case Study of Hydrographic Basin of River Nyando, Kenya by Yashon O. Ouma, Clinton O. Okuku, Evalyne N. Njau

“…The empirical, conceptual, and physical distributed models for the simulation of hydrological interactions may not adequately represent the nonlinear dynamics in the process of water quality prediction, especially in watersheds with scarce water quality monitoring networks. …”
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STUDY ON THE ANTI-COLLISION CHARACTERISTICS OF ALUMINUM FOAM SANDWICH PLATE PROTECTION DEVICE IN OFFSHORE WIND TURBINE by ZHAO XinLei, LI Chun, HAN ZhiWei

“…The vigorous development of offshore wind energy and dense routes have increased the probability of collision between ships and wind turbines. Based on the nonlinear dynamics theory,the conceptual design of the foam aluminum sandwich structure protection device is proposed. …”
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Soliton solutions of the (2 + 1)-dimensional Jaulent-Miodek evolution equation via effective analytical techniques by Muhammad Zubair Raza, Muhammad Abdaal Bin Iqbal, Aziz Khan, D. K. Almutairi, Thabet Abdeljawad

“…The potential applications of these solutions span diverse domains, such as nonlinear dynamics, fiber optics, ocean engineering, software engineering, electrical engineering, and other areas of physical science. …”
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Social risks of e-learning in a digital society by E. V. Chmykhova

“…Kravchenko’s “humanistic theory of a complex society”, which has a nonlinear dynamics of development, – has been proposed. …”
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Emerging Spatiotemporal Dynamics in Multiterminal Neuromorphic Nanowire Networks Through Conductance Matrices and Voltage Maps by Davide Pilati, Fabio Michieletti, Alessandro Cultrera, Carlo Ricciardi, Gianluca Milano

“…This work allows a better understanding of the local nonlinear dynamics in NW networks and their impact on the information processing capabilities, providing new insights for a rational design of self‐organizing neuromorphic systems.…”
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Experimental validation of the analytical modelling of a digitally created duffing acoustic nonlinear oscillator at low amplitudes by Morell Maxime, Collet Manuel, Gourdon Emmanuel, Ture Savadkoohi Alireza, De Bono Emanuele

“…Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. …”
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Multi-modal feature fusion with multi-head self-attention for epileptic EEG signals by Ning Huang, Zhengtao Xi, Yingying Jiao, Yudong Zhang, Zhuqing Jiao, Xiaona Li

“…First, the time domain features were extracted by kernel principal component analysis, the frequency domain features were extracted by short-time Fourier extracted transform, and the nonlinear dynamic features were extracted by calculating sample entropy. …”
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Breather, lump and other wave profiles for the nonlinear Rosenau equation arising in physical systems by Baboucarr Ceesay, Muhammad Zafarullah Baber, Nauman Ahmed, Muhammad Waqas Yasin, Wael W. Mohammed

“…Abstract This work explores the mathematical technique known as the Hirota bilinear transformation to investigate different wave behaviors of the nonlinear Rosenau equation, which is fundamental in the study of wave occurrences in a variety of physical systems such as fluid dynamics, plasma physics, and materials science, where nonlinear dynamics and dispersion offer significant functions. …”
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