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Perturbation Solutions
Perturbation methods are analytical techniques used to obtain approximate solutions to problems in mathematics as well as in various engineering... -
Small Perturbation Theory
The classical flutter is formulated and well captured within the linear aerodynamic theory. From a practical point of view this implies that small... -
Effect of a Strong Local Atmospheric Perturbation on the Propagation of Low-Frequency Electromagnetic Waves in the Earth Ionosphere
AbstractCoefficients of reflection and transmission of electromagnetic waves in a frequency interval of 1–10 kHz are numerically calculated for the...
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Perturbation Methods for a Continuum Metamodel
Perturbation methods, already used in the first part of the book to analyze the sample system, are here applied to general structures. The metamodel... -
Modal truncation method for continuum structures based on matrix norm: modal perturbation method
Modal analysis is a widely applied method to study the vibration phenomenon of continuum structures, but there is no clear method to solve the modal...
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Orbital perturbation coupling of primary oblateness and solar radiation pressure
Solar radiation pressure can have a substantial long-term effect on the orbits of high area-to-mass ratio spacecraft, such as solar sails. We present...
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Dynamic Utility-Improving Time Series Data Perturbation Framework
Enforcing privacy on data collected from sensors located on modern devices and industrial equipment is a challenging research topic. Data protection... -
Taming Non-autonomous Chaos in Duffing System Using Small Harmonic Perturbation
In this work, three different classes of the excited models of Duffing system have been considered. In the considered Duffing models, for... -
Application of homotopy perturbation method to the radial thrust problem
The dynamics of a spacecraft propelled by a continuous radial thrust resembles that of a nonlinear oscillator. This is analyzed in this work with a...
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Higher-Order Homotopy Perturbation Method for the Fractal Rotational Pendulum Oscillator
PurposeIt is of great significance in scientific research to quickly understand a fractal nonlinear system by obtaining an analytical solution...
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Template-Based Universal Adversarial Perturbation for SAR Target Classification
With deep learning models been widely applied to SAR images interpretation, the adversarial robustness problem of models has drawn much attention.... -
Catenary Solutions for Inextensible Cables: A Perturbation-Based High-Order Approximation
Cable structures are structurally efficient and architecturally elegant solutions for bearing and transferring loads across medium and large spans.... -
Normal Magnetizing-Based Eddy Current Testing Method for Multidirectional Cracks on Steel Plate Surface Based on Permeability Perturbation
Conventional-magnetizing-based eddy current testing (CMB-ECT) typically applies a direct current (DC) tangential magnetization field parallel to the...
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Perturbation-based oversampling technique for imbalanced classification problems
We present a simple yet effective idea, perturbation-based oversampling (POS), to tackle imbalanced classification problems. In this method, we...
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Worst-Case Adversarial Perturbation and Effect of Feature Normalization on Max-Margin Multi-label Classifiers
Multi-label classification is a generalization of single-label classification, where an unseen sample is automatically assigned a subset of... -
Contact Interaction of Solids of Revolution with Surface Perturbation
The effect of shape variation on the normal contact of elastic bodies is analyzed in this paper. Contact of a toroid with a ball is considered as a... -
Robust Control of Ultrasonic Power Transfer System Under Parameter Perturbation
Ultrasonic Power Transfer (UPT) technology has many advantages such as easy concentration of energy, no electromagnetic interference, and penetration... -
Effect of oblique incident wave perturbation on rock spalling: An insight from DEM modelling
In order to study spalling failure characteristics of rock under oblique incidence of stress wave, a split Hopkinson pressure bar (SHPB) spalling...
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Optimal perturbation control in plane Poiseuille flow using stability modifier
In this article we have numerically attained the optimal perturbation control in plane Poiseuille flow using stability modifier (wall transpiration).... -
A perturbation approach for predicting wave propagation at the spatial interface of linear and nonlinear one-dimensional lattice structures
We present analysis of dispersive wave propagation through a spatial interface between a linear and nonlinear monatomic chain using a proposed...