Search
41 articles for “Nonlinear mathematical modelling”
-
Nonlinear Mathematical Modelling of Next-Generation Wireless Communication Systems for Adaptive Network Optimization
Abstract: Next-generation wireless communication systems operate under highly dynamic conditions characterized by nonlinear channel behaviour, time-varying interference, heterogeneous traffic, mobility, fading, and rapidly changing resource requirements. Conventional linear network models are often inadequate for representing the coupled relationships among channel quality, transmit power, bandwidth allocation, interference, latency, and energy consumption. This study develops a nonlinear mathematical modelling framework for adaptive optimization of wireless communication networks. The proposed formulation represents the network …
Published in Recent Trends in Electronics Communication Systems · Vol. 13, Issue 2, 2026 Read article
-
Nonlinear Mathematical Modelling and Adaptive Optimization of Nuclear Reactor Thermal-Hydraulic Systems for Safe and Efficient Operation
Abstract: Advanced nuclear reactors are characterized by strongly coupled nonlinear interactions among neutron kinetics, reactor power, fuel temperature, coolant temperature, reactivity, and coolant flow. Accurate mathematical representation of these interactions is essential for analysing reactor stability, thermal behaviour, and safe operating conditions. This study develops a nonlinear mathematical framework for coupled neutronic–thermal reactor dynamics by integrating point-reactor kinetics, delayed-neutron precursor equations, fuel and coolant energy balances, and temperature- dependent reactivity feedback. …
Published in Journal of Thermal Engineering and Applications · Vol. 16, Issue 2, 2026 Read article
-
Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems
Abstract: With the rising requirement for high capacity, low latency and energy-efficient optical communication, the need for strict mathematical models of the nonlinear dynamics of photonic systems has grown. In this study, a mathematical framework based on the Hamiltonian formalism is developed for the characterization of the nonlinear dynamics in advanced optical communication systems. The proposed formulation is the result of a natural evolution of optical amplitude, phase, dispersion, nonlinear interaction …
Published in Trends in Opto-electro & Optical Communication · Vol. 16, Issue 3, 2026 Read article
-
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
-
Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
-
Design of Model-based Controllers for a CSTR Process
Abstract: The objective of this paper is to propose suitable control strategies for controlling highly nonlinear system represented by the mathematical model of the jacketed continuous stirred tank reactor (CSTR) with so called Van de Vusse reaction. The operating point of the reactor is chosen so as to give maximum yield of the desired product. The mathematical model of reactor is obtained by considering the feed flow rate (Fr) as the …
Published in Journal of Instrumentation Technology & Innovations · Vol. 5, Issue 1, 2015 · pp. 13–20 Read article
-
Symmetry Breaking in Mathematical Models: Bifurcation, Chaos, and Pattern Formation
Abstract: Symmetry breaking serves as a central organizing principle in the understanding of nonlinear systems across physics, biology, chemistry, and engineering. When a system transitions from a symmetric state to an asymmetric configuration, it often signals the onset of new structures, dynamic behaviors, or even chaotic regimes. This review explores symmetry breaking from the theoretical and mathematical perspectives of bifurcation theory, chaos theory, and pattern formation. We discuss how small parameter …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 25–30 Read article
-
Physics-Adaptive Digital Twin with Neural-Operator Reduced-Order Modelling
Abstract: This study proposes a novel Physics-Adaptive Digital Twin with Neural-Operator Reduced-Order Modelling (PADT-NO) framework for predictive modelling of complex, nonlinear, and multiscale fluid flows. The proposed mathematical framework integrates fundamental conservation laws, Navier–Stokes dynamics, physics-constrained neural operators, adaptive reduced-order modelling, and uncertainty-aware state estimation within a unified computational architecture. Unlike conventional computational fluid dynamics and purely data-driven approaches, the proposed model dynamically couples high-fidelity physical information with a low-dimensional latent …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 89–103 Read article
-
First Order Sliding Mode Control of Coupled Tank System
Abstract: This paper investigates the challenging problem of liquid level control in Coupled Tank Systems (CTS). CTS, characterized by its nonlinear behaviour and sensitivity to disturbances, presents significant control challenges. This report suggests and assesses several control measures to solve these problems. Mathematical models are developed to capture the system's nonlinear dynamics, and controllers such as Proportional-Integral (PI) and Sliding Mode Controllers (SMC) are designed. The PI controller effectively regulates the …
Published in Trends in Electrical Engineering · Vol. 14, Issue 3, 2024 Read article
-
Harmonic Analysis of 6-Pulse Diode Bridge Rectifier Circuits
Abstract: This paper analyzes the steady-state harmonic performance of the six-diode, 3-phase rectifier bridge circuits. A procedure for determining the frequency spectra of the different voltages and currents within the bridge circuit, resulting from a 60-Hz 3-phase supply, is presented. The effect of the smoothing shunt-capacitor is also demonstrated. Based on a Mathematica code, the paper presents the results of a comprehensive list of case studies. The procedure can handle unsymmetrical …
Published in Journal of Power Electronics and Power Systems · Vol. 10, Issue 2, 2020 · pp. 1–10 Read article
-
Enhancing Surface Roughness of Polylactic Acid (PLA) 3D-Printed Parts Using CO₂ Laser Scanning: An Experimental Study on Parameter Optimization
Abstract: Fused deposition modeling (FDM) of polylactic acid (PLA) often suffers from poor surface finish due to the inherent layer-by-layer deposition process, limiting its use in high-precision applications. This study investigates CO₂ laser scanning as an efficient post-processing technique to reduce the surface roughness (Ra) of PLA parts while maintaining structural integrity. Specimens (100 × 80 × 5 mm) were fabricated with varying infill densities (35%, 70%, and 100%) to assess …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 503–511 Read article
-
Investigations on PAPR Reduction using PTS Technique for OFDM Communication Systems
Abstract: AbstractOrthogonal Frequency Division Multiplexing (OFDM) is a spectral efficient technique for high data rate communication systems. It also provides robustness to multipath frequency selective fading but suffers from high peak-to-average power ratio (PAPR) and causes high power amplifiers to operate in the nonlinear region. In this paper partial transmit sequence (PTS) as PAPR reduction technique has been investigated. Mathematical modelling and Matlab simulation have been carried out to analyse its …
Published in Journal of Communication Engineering & Systems · Vol. 5, Issue 3, 2015 · pp. 19–26 Read article
-
Wavelet based Adaptive Sliding Mode Control for Discrete Time Uncertain Nonlinear Systems
Abstract: This paper focuses on the development of a wavelet based adaptive sliding mode control strategy for a classof discrete time uncertain nonlinear systems. An adaptive sliding mode control is utilized to assure the stabletracking of uncertain nonlinear system under consideration. Wavelet neural network (WNN) is used to mimicthe uncertainties present in the system. Proposed scheme is derived to guaranty the necessary and sufficientreaching condition for sliding mode control in presence …
Published in Journal of Control & Instrumentation · Vol. 1, Issue 1-2-3, 2011 · pp. 59–68 Read article
-
Modelling of Large Elasto-plastic Deformations by EFGM
Abstract: Current work reports modelling and simulation of geometric and material nonlinearities arising due large elasto-plastic displacements in structural specimens by invoking enriched element free Galerkin method (EFGM). The displacement approximations are constructed by using moving least square approach. Standard displacement based approximations are modified by incorporating suitable enrichment functions depending on the nature of interfaces present in the components. Large deformations give rise to geometric nonlinearities which have been modelled …
Published in Journal of Polymer & Composites · Vol. 12, Issue 2, 2024 · pp. 130–143 Read article
-
A Threshold-Weighted Mathematical Fusion Model for Epidemic Outbreak Prediction Using SEIR Residual Dynamics and Cloud-Based Machine Learning
Abstract: Accurate prediction of epidemic outbreaks is critical for effective public health management, resource planning, early warning generation, and timely intervention by municipal authorities. Traditional compartmental models such as Susceptible–Exposed–Infectious–Recovered (SEIR) offer valuable epidemiological insights and mathematical interpretability; however, they may not adequately capture the complex nonlinear relationships present in real-world urban health systems. Conversely, data-driven machine learning techniques can identify hidden patterns in large datasets but often lack epidemiological structure …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 2, 2026 · pp. 12–19 Read article
-
Mathematical Analysis and Stability Analysis of Coupled Orbital–Attitude Dynamics for Autonomous Spacecraft under Perturbative Forces
Abstract: Autonomous spacecraft operating in Earth orbit are subjected to coupled translational and rotational dynamics influenced by gravitational and environmental perturbations. Accurate mathematical characterization of these interactions is essential for trajectory prediction, attitude stabilization, autonomous navigation, and mission reliability. This study develops a nonlinear mathematical framework for coupled orbital–attitude dynamics of an autonomous spacecraft under perturbative forces. The translational dynamics are formulated using the two-body gravitational model augmented by the second …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article
-
Fluid-Structure Interaction Simulation of Parachute by Eulerian-Lagrangian penalty method
Abstract: In general, modeling and simulation of a model consisting of fluid and solid combinations has been considered difficult, and it has become impossible in terms of computer dependencies and accuracy to be analyzed by Fluent or other programs. The parachute evaluation process, which is historically based on a large amount of experimental data, necessitates many falling experiments. These tests can be costly and time-consuming, and they don't always allow for …
Published in Recent Trends in Fluid Mechanics · Vol. 11, Issue 2, 2024 · pp. 15–22 Read article
-
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
-
Modelling & Simulation Of Fuzzy Logic Based Controller For Energy Storage System
Abstract: AbstractThe problem of transient stability in multimachine model is a semi-infinite optimization problem for nonlinear phenomenon in network of energy storage system. As this involves several sets of differential equations and algebraic constraints; therefore the application of several mathematical programming techniques won’t be enough to solve the problem. In the past several ad hoc algorithms had been proposed. This study presents a new methodology to restore the transient stability by …
Published in Journal of Electronic Design Technology · Vol. 8, Issue 2, 2017 · pp. 9–15 Read article
-
Optimization of Control Parameters Based on Genetic Algorithm Technique for Integrated Electrohydraulic Servo Actuator System
Abstract: Electrohydraulic servo systems have been used in industry in a wide number of applications. Its dynamics are complex and highly nonlinear, these features significantly add uncertainty to the controller design procedure. Therefore, it is a demanding task to obtain a precise mathematical model of controlled servo systems. The present paper presents the development of a detailed non-linear mathematical model of the ISA and a computer simulation program using MATLAB/SIMULINK package. …
Published in Journal of Mechatronics and Automation · Vol. 6, Issue 3, 2019 · pp. 24–41 Read article