Sledgehamr: Simulating Scalar Fields with Adaptive Mesh Refinement by Malte Buschmann

“…Understanding the nonlinear dynamics of coupled scalar fields often necessitates simulations on a 3D mesh. …”
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Fuzzy logic based plantwide control applied to ethanol production from potato starch by Amanda Fonseca Oliveira, Félix Rezende Santos, Rodolpho Rodrigues Fonseca

“… Industrial plants dedicated to ethanol production have a large number of interrelated processes and operations with nonlinear dynamics, requiring a process control design method considering plantwide aspects and nonlinear control techniques application, as fuzzy logic, to overcome disturbance effects on process control performance. …”
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Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model by Kang-Jia Wang, Feng Shi, Guo-Dong Wang

“…In this paper, we aim to investigate the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to describe the nonlinear dynamics of magnets. Two recent effective technologies, namely, the variational method and subequation method, are employed to construct the abundant soliton solutions. …”
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An Iterative Technique for the Synthesis of Active Antenna Oscillator Arrays by Theodoros N. Kaifas, John N. Sahalos

“…The resulting arrays are shown to comply with the desired pattern and the nonlinear dynamics thus proving the validity of our method.…”
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The impact of immune cell interactions on virus quasi-species formation by Ali Moussaoui, Vitaly Volpert

“…Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.…”
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Universality and scaling in networks of period-doubling maps with a pacemaker by Anna S. Ivanova, Sergey P. Kuznetsov, Andrew H. Osbaldestin

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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…The effects of external loads, supported clearance, and support stiffness on nonlinear dynamics behaviors of cylindrical shell with nonlinear boundary condition were discussed.…”
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Neural Network-Based Nonlinear Fixed-Time Adaptive Practical Tracking Control for Quadrotor Unmanned Aerial Vehicles by Jianhua Zhang, Yang Li, Wenbo Fei

“…This brief addresses the position and attitude tracking fixed-time practical control for quadrotor unmanned aerial vehicles (UAVs) subject to nonlinear dynamics. First, by combining the radial basis function neural networks (NNs) with virtual parameter estimating algorithms, a NN adaptive control scheme is developed for UAVs. …”
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Fixed-Time Trajectory Tracking Control of Autonomous Surface Vehicle with Model Uncertainties and Disturbances by Jiawen Cui, Haibin Sun

“…By combining the FTDO and ISMC techniques, a new control scheme (FTDO-ISMC) is developed, which can achieve both disturbance compensation and chattering-free condition. (3) Aiming at reconstructing the unknown nonlinear dynamics and external disturbances, a fixed-time unknown observer (FTUO) is proposed, thus providing the FTUO-ISMC scheme that finally achieves trajectory tracking of ASVs with unknown parameters. …”
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On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass by A.A. Al-Qaisia, M.N. Hamdan, B.O. Al-Bedoor

“…The results are presented, discussed and some conclusions on the partially immersed beam nonlinear dynamics are extracted.…”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

“…In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate -within the electrodeposition context- the formation of morphological patterns in a finite two-dimensional spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. …”
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EQUIVALENT CIRCUIT SIMULATION OF A TWO-DEGREE-OF-FREEDOM ELASTIC COLLISION VIBRATION SYSTEM WITH GAPS by ZHU Xifeng, FU Wenbin, MA Shuo, ZHENG Dong

“…A two-degree-of-freedom collision system with gap and elastic constraint was used as the research object, and the regional distribution and transitions of the periodic motion of the system under low frequency conditions were studied by numerical simulation.It was obtained that with the decrease of excitation frequency, the <italic>p</italic>/1 periodic motion occurs with grazing bifurcation transitions to （<italic>p</italic>+1）/1 periodic motion.When the number of collisions was large enough, the Chattering-impact characteristics were presented.Then a circuit model that was completely equivalent to the collision system was established and simulation experiments were carried out.The results show that the results generated by establishing the equivalent circuit are consistent with those generated by numerical simulations, and the equivalent circuit is more efficient in simulation experiments, which can realize fast modal transitions and parameter adjustments，making it more convenient and providing a research method for the study of nonlinear dynamics.…”
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Trajectory Tracking of a Flexible Robot Manipulator by a New Optimized Fuzzy Adaptive Sliding Mode-Based Feedback Linearization Controller by M. J. Mahmoodabadi, N. Nejadkourki

“…To reach this goal, after deriving the dynamical equations of the robot, the feedback linearization approach is utilized to change the nonlinear dynamics to a linear one and find the control law. …”
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Distributed Analytical Formation Control and Cooperative Guidance for Gliding Vehicles by Shengwei Jia, Xiao Wang, Fugui Li, Yulin Wang

“…The proposed method takes full consideration of the characteristics of hypersonic gliding vehicle, such as complex nonlinear dynamics, no thrust, and quasi-equilibrium gliding condition, and no online numerical iteration is needed, which is well applicable for hypersonic gliding vehicles. …”
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Dynamics Evolution of Credit Risk Contagion in the CRT Market by Tingqiang Chen, Jianmin He, Qunyao Yin

“…This work introduces a nonlinear dynamics model of credit risk contagion in the credit risk transfer (CRT) market, which contains time delay, the contagion rate of credit risk, and nonlinear resistance. …”
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Analysis of Free Pendulum Vibration Absorber Using Flexible Multi-Body Dynamics by Emrah Gumus, Atila Ertas

“…In this paper, the beam-tip mass-free pendulum structure is treated as a flexible multibody dynamic system and the ANCF formulation is used to demonstrate the coupled nonlinear dynamics of a large deflection of a beam with an appendage consisting of a mass-ball system. …”
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Chaotic Power System Stabilization Based on Novel Incommensurate Fractional-Order Linear Augmentation Controller by Abdul-Basset A. Al-Hussein, Fadhil Rahma Tahir, Karthikeyan Rajagopal

“…The results in this paper will give a better understanding of the nonlinear dynamic behaviors of the incommensurate fractional-order SMIB power system.…”
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Swarming Computational Procedures for the Coronavirus-Based Mathematical SEIR-NDC Model by Suthep Suantai, Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Watcharaporn Cholamjiak

“…A merit function is constructed by using the nonlinear dynamics of the SEIR-NDC mathematical system based on its 7 classes, and the optimization of the merit function is performed through the PSOSQP. …”
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Suppression of Base Excitation of Rotors on Magnetic Bearings by Steven Marx, C. Nataraj

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Simultaneous prediction of 10m and 100m wind speeds using a model inspired by brain emotional learning by Alireza Hakimi, Parvin Ghafarian

“…Using ERA5 reanalysis data, BELBFM effectively captures the nonlinear dynamics of wind behavior. Evaluation with data from the Persian Gulf demonstrates BELBFM’s high accuracy, enhancing predictive capabilities for applications in renewable energy and structural engineering. …”
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