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110 articles for “Nonlinear dynamics”
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Mathematical Derivation and Stability Analysis of a Coupled Neutron Kinetics–Thermal Feedback Model for Nuclear Reactor Safety
Abstract: Nuclear reactor safety assessment requires accurate characterization of the coupled interaction between neutron population dynamics and thermal feedback during steady-state operation and transient conditions. This study develops a mathematically derived coupled neutron kinetics–thermal feedback model for analysing reactor stability and transient behaviour. The formulation integrates point reactor kinetics with delayed-neutron precursor dynamics, fuel-temperature evolution, coolant- temperature variation, and temperature-dependent reactivity feedback. The reactor is represented as a nonlinear dynamical system …
Published in Journal of Nuclear Engineering & Technology · Vol. 16, Issue 2, 2026 Read article
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ANN-Based Adaptive Rotor Current Control for DFIG Wind Systems: A Comparative Dynamic Analysis
Abstract: The variability of rotor current management in Doubly Fed Induction Generator (DFIG)-based wind energy conversion systems is crucial for maintaining stability in power extraction under fluctuating wind and grid circumstances. Traditional proportional-integral (PI) controllers, despite their ease of use, frequently exhibit diminished performance when faced with parameter uncertainty, nonlinear behaviors, and rapid wind fluctuations.This paper presents an adaptive rotor current control strategy, which is an Artificial Neural Network (ANN)-based approach …
Published in Journal of Power Electronics and Power Systems · Vol. 16, Issue 1, 2026 · pp. 41–53 Read article
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Development and Simulation of Non-Linear Gear Dynamics Model
Abstract: With the development of high-speed mechanical transmission, the dynamic characteristics of gear transmission require continuous improvement and more accurate prediction of the gear system dynamics becomes more and more important. The literature revealed that the gear pair transmission system is inherently non-linear which exhibits complex behavior and it is significant to study its vibration characteristics in detail and to analyze the influencing factors. A nonlinear dynamic model of gear transmission …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 11–16 Read article
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Static and Dynamic Analysis of Conventional, Diagrid and Hexagrid Systems Across Different Storey Heights
Abstract: In structural engineering, multi-storey buildings’ seismic resilience in earthquake-prone areas is crucial. The seismic performance of proposed multi-story buildings with different heights (G+13, G+19, and G+27) is thoroughly examined in this study using traditional structural systems that are octagrid and hexagrid. Under seismic zone III conditions, the study evaluates important parameters such as storey drifts and storey displacements using the Response Spectrum Method. Each structural system's seismic response is assessed …
Published in Journal of Offshore Structure and Technology · Vol. 12, Issue 2, 2025 · pp. 36–47 Read article
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Performance of Buildings at Different Soils using Pushover Analysis
Abstract: Earthquake has been considered as the most devastating calamity which may lead to loss of lives and properties as seen in 2001 earthquake at Bhuj, India. In India various buildings has been designed irrespective of the effect of dynamic load corresponding to different kinds of soil condition. So, in this study an attempt has been made to analyse different types of buildings viz. G+4, G+8 and G+12 under different soil …
Published in Journal of Geotechnical Engineering · Vol. 1, Issue 2, 2014 · pp. 22–31 Read article
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Motors Using a Deep Learning-Based Torque Control with Torque Ripple Reduction under Nonlinear Magnetic Conditions
Abstract: This research discusses a deep learning strategy for torque management to minimize the effect of torque ripple in a nonlinear electric motor. Nonlinear electric motor losses may include: magnetic saturation, harmonic flux losses and inverter losses. In many cases when the system parameters deviate and/or instability issues occur, the traditional method with a model-based approach or PI control may encounter challenges. In this case, the authors proposed a hybrid approach …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 2, 2026 Read article
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Noise-Driven Collective Behavior in Mean-Field Coupled Lorenz Oscillator Networks
Abstract: This work investigates the spatiotemporal dynamics of an ensemble of 100 identical Lorenz oscillators coupled through a mean-field scheme in the presence of additive noise. Building on prior studies of spatiotemporal chaos in coupled Lorenz arrays and mean-field coupled chaotic oscillators, the focus is on how the competition between deterministic coupling and stochastic forcing shapes collective behavior, including complete synchronization, desynchronization, clustered states, and noise-modified spatiotemporal chaos. The governing equations …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 2, 2026 Read article
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From Differential Equations to Data Science: A Survey on Analytical Methods in Contemporary Problems
Abstract: The integration of differential equations and data science methods represents a dynamic and evolving approach to solving contemporary challenges across a wide range of disciplines, including engineering, physics, biology, economics, and finance. Differential equations have long served as fundamental tools for modeling continuous systems and processes, offering powerful insights into the behavior of natural and man-made phenomena. For example, they describe how heat diffuses through materials, how populations grow in …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 1–6 Read article
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Seismic Analysis of Conventional, Hexagrid and Octagrid Steel Structural Systems
Abstract: The seismic resilience of multi-story buildings in earthquake-prone regions is a critical consideration in structural engineering. This dissertation presents a comprehensive analysis of the seismic performance of proposed multi-story buildings with varying heights (G+10, G+15, and G+20) using conventional, hexagrid, and octagrid structural systems. The study utilizes the Response Spectrum Method under seismic zone Ⅴ conditions to assess key parameters including storey drift, storey displacement, base shear, and overturning moment. …
Published in Journal of Structural Engineering and Management · Vol. 11, Issue 1, 2024 · pp. 26–41 Read article
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(𝛅,Ü ) Convex Structure on Partial B-Metric Space Concerning Quasi Contraction and Fixed-Point Results
Abstract: This work introduces the concept of (δ,Ü )– Convex Partial b-Metric Spaces using convex structure. Motivated by this approach, we demonstrated fixed point results and their uniqueness, as well as quasi contraction, and provided some supporting instances for the established results. Our findings expand prior fixed-point results to a novel concept (δ,Ü )– Convex Partial b-Metric Spaces. To support our theoretical findings, we provide several instances that exemplify the established …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 24–34 Read article
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Advanced Control Techniques: Super-twisting Controller Applications and Insights
Abstract: Sliding mode control (SMC) provides robust control for uncertain systems. This study focuses on the Super-Twisting Controller (STC), a powerful SMC technique known for its finite-time convergence and robustness. Its importance is to provide chatter-free control and robustness against uncertainty, and make it suitable for systems with nonlinear dynamics and disturbances. The advantages of STC are faster speed, more accurate control actions, and enhanced system stability, though may require careful …
Published in Journal of Experimental & Applied Mechanics · Vol. 15, Issue 2, 2024 · pp. 1–7 Read article
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Instrumentation for Drum-Boiler Water Level Control with MPC and Robust Controller
Abstract: AbstractDrum boilers are used for continuous steam generation in industrial instrumentation on large scale. Controlling and instrumentation aspect in boiler process is highly stringent as the system is highly complex and exhibits nonlinearity, the transient behavior of boiler operation varies with load requirement as it is multivariable dependent. The main cause of instability in drum boiler operation is due to the uneven monitoring of liquid level due to swiss and …
Published in Journal of Instrumentation Technology & Innovations · Vol. 8, Issue 1, 2018 · pp. 1–7 Read article
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AI-Assisted Gain Scheduling for Real-Time Temperature Control in Chemical Reactors
Abstract: Temperature control in continuous stirred-tank reactors (CSTR) represents a critical challenge in chemical process industries due to inherent nonlinearities, time-varying dynamics, and parametric uncertainties. Conventional proportional-integral-derivative (PID) controllers with fixed gains often fail to maintain optimal performance across varying operating conditions, leading to temperature excursions that compromise product quality and safety. This paper presents a novel AI-assisted gain scheduling framework that integrates artificial neural networks (ANN) with adaptive PID control …
Published in Journal of Control & Instrumentation · Vol. 17, Issue 1, 2026 · pp. 24–33 Read article
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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Unified Mathematical Framework for Semiconductor Devices, Junction Dynamics, and Circuit Analysis
Abstract: Semiconductor devices form the fundamental building blocks of modern electronic and integrated circuit systems, where their electrical behavior is governed by coupled carrier transport, electrostatic, and circuit-level phenomena. This work presents a unified mathematical framework for modeling semiconductor devices, junction dynamics, and their interaction with electronic circuits. The formulation integrates fundamental semiconductor relations, carrier concentration, drift–diffusion transport, Poisson’s equation, continuity equations, PN-junction behavior, diode characteristics, bipolar junction transistor operation, and …
Published in Journal of Semiconductor Devices and Circuits · Vol. 13, Issue 2, 2026 · pp. 37–47 Read article
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Study on Single-Slope Solar Still for Experimental and Data-Driven Analysis for Improving Productivity with Different Basin Materials.
Abstract: This study investigates the single-slope solar still under the diurnal variation of water temperature and distillate yield under identical operating conditions. Experimental analysis was conducted to evaluate the performance enhancement through the incorporation of natural basin materials, namely hemp and sand. The water distillation process is focused on improving potable water productivity and thermal behaviour. The inclusion of hemp and sand in the basin leads to noticeable differences in productivity …
Published in Emerging Trends in Chemical Engineering · Vol. 13, Issue 2, 2026 · pp. 31–46 Read article
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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 Read article
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Deploying Fuzzy Logic for Self-Tuning Regulator Design for Motion Control in Modern Electrical Machines
Abstract: Modern electrical machines require sophisticated motion control systems capable of adapting to varying operating conditions, load disturbances, and parameter uncertainties. Traditional self-tuning regulators (STR) based on classical control theory often struggle with nonlinearities, time-varying dynamics, and complex operational environments characteristic of contemporary electric drives. This article presents a comprehensive framework for deploying fuzzy logic in self-tuning regulator design to address these challenges in motion control applications. Fuzzy logic controllers leverage …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 3, Issue 2, 2025 · pp. 11–21 Read article
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Challenges and Solutions in Load Frequency Control: A Review of Controller Design
Abstract: The Load Frequency Control (LFC) of two area interconnected reheat thermal systems utilising a traditional proportional integral (PI) controller is described in this study. Boiler dynamics, a non-linear generating rate constraint, and a regulator dead band are all integrated into the system. When nonlinearities and boiler dynamics are considered, the traditional PID & P controllers do not produce sufficient control performance. To overcome this issue, a PI Controller has been …
Published in Journal of Control & Instrumentation · Vol. 14, Issue 3, 2023 · pp. 36–50 Read article
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The Role of Adaptive Filters in Enhancing Acoustic Echo Cancellation Efficiency in Noisy Environments
Abstract: The novel approach that this work discusses is a DCD-based iterative learning filter approach improved with deep learning methodologies, designed to improve the efficiency of acoustic echo cancellation. The proposed system can really manage both linear and nonlinear echo scenarios, dynamically adapting to fluctuating acoustic environments. The above comparative evaluations with standard filter, the standard RLS filter, indicate that the mean square error, and the standard deviation of the correlation …
Published in International Journal of Radio Frequency Innovations · Vol. 2, Issue 2, 2024 · pp. 9–24 Read article