Search
13 articles for “Eigen function”
-
Study of Phase Velocity and Magneto Plasmon Dispersion on the Surface of Carbon Nanotubes in Low Energy State
Abstract: Several authors have worked on theoretical and experimental plasmon excitations. The researchers have been studying the dispersion relation of magneto plasmon in the low energy state on a cylindrical surface of carbon nanotube obtained with the help of linear-angular momentum transfer. Here, we demonstrate the Dirac-like Hamiltonian equation for carbon nanotubes in the presence and absence of a parallel applied magnetic field. We assume the cylindrical carbon nanotube is infinitesimally …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 3, 2022 · pp. 21–25 Read article
-
n-Dimensional Eigenfunction Wavelet Transform
Abstract: AbstractIn this paper, Eigenfunction transform defined for single variable is extended for functions of n variables. Translation, convolution and dilation associated with n dimensional Eigenfunction transform are defined. Also, we define Eigenfunction wavelet for n variables. Eigenfunction wavelet transform (EWT) for n variables is introduced. Inversion formula for n dimensional EWT is also derived. Keywords: Eigenfunction transform Eigenfunction wavelet transform, translation, convolution, dilationCite this ArticleT.G. Thange, R.D. Swami, A.M.Alure. n-Dimensional …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 32–37 Read article
-
Study of Effect of Shape, Size and Symmetry on Electronic States of Some Three-dimensional Structures in Mesoscopic Size Regime
Abstract: This study presents theoretical study of effect of size and symmetry of different shaped three-dimensional GaAs structures in mesoscopic size regime. The effective mass Schrӧdinger equation is used in various shapes and its solution are modified as a function of volume and aspect ratio of structures. The calculated energy eigenvalues for square prism, equilateral prism, regular tetrahedral, cylindrical and spherical are comparatively analyzed to observe the effect of shape, size …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 1, 2019 · pp. 26–36 Read article
-
Design and Analysis of MEMS based Piezoelectric Accelerometer Having Square Shaped Proof Mass
Abstract: In any spacecraft launching program, the most prominent issue is to locate the spacecraft or satellite, in particular orbit of any particular planet. Now, while making the position of that spacecraft in space, abrupt changes in velocity occur and these velocity changes can break the controlling circuitry of the system since the velocity changes occur at very high environmental pressure. The designed device converts the deflections due to mentioned pressure …
Published in Journal of Aerospace Engineering & Technology · Vol. 5, Issue 2, 2015 · pp. 72–78 Read article
-
Identification of Elastic Constants of Polymer based Composites through Vibration Test Data
Abstract: This paper presents sex per mental and analytical methods of determining elastic constants of two different kinds of materials. Elastic constants of unidirectional glass/epoxy laminates and Aluminium from the measured eigenfrequencies has been performed. Traditional ‘strike method’ is adopted for the exciting the structure and response is obtained through accelerometer. Vibration analysis is carried out using frequency response function (FRF) measurement technique to determine natural frequencies and mode shapes. Elastic …
Published in Journal of Polymer & Composites · Vol. 5, Issue 3, 2017 · pp. 16–21 Read article
-
LQR-Based Optimal Control of Inverted Pendulum System with State Estimation and Stability Analysis
Abstract: The inverted pendulum on a cart is a canonical benchmark problem in control systems engineering, capturing the essential challenges of stabilizing an inherently unstable, underactuated, and nonlinear plant. Classical Proportional-Integral-Derivative (PID) controllers, while widely employed in industrial practice, exhibit fundamental performance limitations when applied to such systems, primarily due to their inability to account for multivariable coupling, process noise, and the absence of a systematic optimization framework. This paper presents …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 1, 2026 · pp. 31–43 Read article
-
Quasar: Quantum-Accelerated Sustainable Anomaly Recognition in Climate Systems
Abstract: Accurate detection of climate anomalies is vital for disaster alleviation and policy making in a sustainable manner, but customary detection methods face the challenges of computational inefficiency and physical inconsistency. In this study, we propose a novel approach called Quantum-Optimized Fuzzy Physics-Informed Neural Networks (QFuzzy-PINNs), which integrates quantum computing, fuzzy logic, and physics-informed deep learning. As a first step, we employ quantum annealing for conventional optimization to adjust multiple Gaussian …
Published in International Journal of Climate Conditions · Vol. 2, Issue 2, 2025 · pp. 18–27 Read article
-
Quantum-Fuzzy Tensor Operators and Uncertainty-Band Bifurcation for Symmetry-Preserving State Discrimination
Abstract: A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems. In this formulation, fuzzy membership and non-membership degrees are represented through expectations of effect operators acting on density matrices, providing a natural bridge between fuzzy logic and quantum measurement theory. Conjunction and disjunction operations are extended to the quantum domain via tensorised channels, constructed using projective measurements and unitary transformations, enabling logical …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 08–15 Read article
-
Matrix based Internet of Things for Product Surfing
Abstract: This paper presents an idea on matrix IoT. The product-surfer matrix is defined by IoT based on pause time during internet surfing. This study will be beneficial for industries. The discrete distribution is defined for product and its generalization is appeared as the matrix. The IoT function is established by the one-to-one correspondence. Each element of the product domain is associated with the unique element of the matrix. It presents …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 32–37 Read article
-
Estimation of Power System Stabilizer Parameters Using Swarm Intelligence Techniques to Improve Small Signal Stability of Power System
Abstract: Interconnection of the power system utilities and grids presents a formidable challenge in front of design engineers. With the interconnections, power system has emerged as a more complex and nonlinear system. In recent years, small signal stability issues have gained much importance along with the conventional transient stability issues. Transient stability of the power system can be achieved with high gain and fast acting automatic voltage regulators (AVRs). However, AVRs …
Published in Trends in Electrical Engineering · Vol. 6, Issue 2, 2016 · pp. 16–25 Read article
-
Intuitionistic Fuzzy Hypergraph Laplacians and Dominating Transversals for Resilient Discrete Network Design
Abstract: This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting. Classical graphs compress multi-way coordination into pairwise edges, while ordinary fuzzy graphs often ignore the non-membership information that becomes critical in emergency logistics, infrastructure interdependence, and cyberphysical coordination. We therefore formulate an intuitionistic fuzzy hypergraph in which each vertex hyperedge incidence carries membership, non-membership, and hesitation, and we construct a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 15–21 Read article
-
Linear Stability Analysis of Taylor-Couette Flow with and without Viscous Heating
Abstract: This paper presents linear stability analysis of the incompressible viscous flow between the two concentric counter rotating cylinders. The parallel flow assumption is applied; hence the mean flow is the function of radial coordinate only. The main objective of this study is to explore the effect of the viscous heating, Nahme number and radius ratio (Ratio of inner to outer cylinder radius, η) on the stability characteristics of Taylor-Couette flow. …
Published in Recent Trends in Fluid Mechanics · Vol. 4, Issue 2, 2017 · pp. 15–22 Read article
-
Voltage Stability Study based on New Evolutionary Algorithm
Abstract: This paper describes a PSO optimization algorithm for voltage stability study and its enhancement based on proximity and mechanism analysis. This theorem is implemented based on Gershgorin’s Circle Theorem. The control variables responsible for enhancing the voltage stability limit are generator bus voltages at PV buses, the taps of On-Load –Tap-Changing Transformer. (OLTC), change in reactive power etc. The objective function of proposed algorithm is to maximize the minimal diagonal …
Published in Trends in Electrical Engineering · Vol. 7, Issue 2, 2017 · pp. 21–31 Read article