Oscillators And Oscillatory Signals From Smooth To Discontinuous
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Oscillators And Oscillatory Signals From Smooth To Discontinuous
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Author : Valery N. Pilipchuk
language : en
Publisher: Springer Nature
Release Date : 2023-09-23
Oscillators And Oscillatory Signals From Smooth To Discontinuous written by Valery N. Pilipchuk and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-23 with Science categories.
This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford’s algebras, give rise to the essentially nonlinear “quasi-impact” methodology based on the idea of non-smooth temporal substitutions. In the years since “Nonlinear Dynamics: Between Linear and Impact Limits,” the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =± 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools.
Asymptotic Methods For Engineers
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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2024-05-20
Asymptotic Methods For Engineers written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-20 with Mathematics categories.
Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).
Advanced Topics In Electric Circuits
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Author : Zdzislaw Trzaska
language : en
Publisher: Springer Nature
Release Date : 2025-06-16
Advanced Topics In Electric Circuits written by Zdzislaw Trzaska and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-16 with Science categories.
This book is addressed to researchers and practitioners in the theory and applications of electric circuits. It can also serve as a textbook for Ph.D. students examining applications of modern mathematics to important issues emerging nowadays more and more often in advanced electrical and electronic systems. The book offers effective tools to facilitate the study of all those circuits and systems increasingly penetrating our world, helping to discover their hidden beauty. The material is presented in twelve chapters divided into sections. Usually, first sections are of an introductory nature, explain studied phenomena and announce numerical results. More advanced investigations are presented in subsequent sections. The center of concern is set on existing modern methods as well as continuously emerging new methods of investigations useful for researchers, engineers and practitioners active in many interdisciplinary fields, where physics, electrochemistry, and electric circuits play a key role. Coverage includes: • Principles of optimal operations of electrical circuits; • The equilibrium state of the circuit as a stationary point of its power functional; • The Gibbs effect and its consequences for circuit analysis; • Accurate calculation of complex dynamic circuits operating in non-sinusoidal periodic states; • Energy hysteresis loops in non-sinusoidal periodic states of circuits; • Optimal transformations of elements in three-phase circuits; • Analog and digital filters; • Fractals and their structures and measures; • Fibonacci, Sierpiński and Cantor circuits; • Chaos in electrical circuits; •Electrochemical impedance spectroscopy; •Circuits with nanostructures and their properties; •Circuits of fractional orders; •AI in electrical circuits. This is the first extensive description of these topics and the interpretations of analytical results and those obtained from computer simulations with MATLAB environments. Special attention is paid to nonlinear electric circuits and finally the presentation is extended to effective applications of the achievements of modern AI. Numerous examples and exercises illustrate main results of the book. The book provides readers with a better understanding of origins and properties of many new circuit structures made possible by nanotechnology and atomic microscopy.
Fourier Analysis A Signal Processing Approach
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Author : D. Sundararajan
language : en
Publisher: Springer Nature
Release Date : 2025-02-24
Fourier Analysis A Signal Processing Approach written by D. Sundararajan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-24 with Computers categories.
This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics, and acoustics. It presents Fourier analysis primarily using physical explanations with waveforms and/or examples, only using mathematical formulations to the extent necessary for its practical use. Intended as a textbook for senior undergraduates and graduate-level Fourier analysis courses in engineering and science departments, and as a supplementary textbook for a variety of application courses in science and engineering, the book is also a valuable reference for anyone – student or professional – specializing in practical applications of Fourier analysis. The prerequisite for reading this book is a sound understanding of calculus, linear algebra, signals and systems, and programming at the undergraduate level. Review of last version “The Fourier analysis is mainly presented from a practical point of view, where the mathematical theory is very simplified. This book is mainly written for broad readership of graduate students and researchers in physics, computer science, and engineering with special interest in signal processing. ... Doubtless, this textbook will stimulate the practical education in the Fourier analysis and its applications in signal processing.” (Manfred Tasche, zbMATH 1407.94002, 2019)
Self Oscillations In Dynamic Systems
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Author : Luis T. Aguilar
language : en
Publisher: Birkhäuser
Release Date : 2015-10-01
Self Oscillations In Dynamic Systems written by Luis T. Aguilar and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Science categories.
This monograph presents a simple and efficient two-relay control algorithm for generation of self-excited oscillations of a desired amplitude and frequency in dynamic systems. Developed by the authors, the two-relay controller consists of two relays switched by the feedback received from a linear or nonlinear system, and represents a new approach to the self-generation of periodic motions in underactuated mechanical systems. The first part of the book explains the design procedures for two-relay control using three different methodologies – the describing-function method, Poincaré maps, and the locus-of-a perturbed-relay-system method – and concludes with stability analysis of designed periodic oscillations. Two methods to ensure the robustness of two-relay control algorithms are explored in the second part, one based on the combination of the high-order sliding mode controller and backstepping, and the other on higher-order sliding-modes-based reconstruction of uncertainties and their compensation where Lyapunov-based stability analysis of tracking error is used. Finally, the third part illustrates applications of self-oscillation generation by a two-relay control with a Furuta pendulum, wheel pendulum, 3-DOF underactuated robot, 3-DOF laboratory helicopter, and fixed-phase electronic circuits. Self-Oscillations in Dynamic Systems will appeal to engineers, researchers, and graduate students working on the tracking and self-generation of periodic motion of electromechanical systems, including non-minimum-phase systems. It will also be of interest to mathematicians working on analysis of periodic solutions.
Analysis Of Geophysical Potential Fields
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Author : P.S. Naidu
language : en
Publisher: Elsevier
Release Date : 1998-06-19
Analysis Of Geophysical Potential Fields written by P.S. Naidu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-19 with Science categories.
When some useful information is hidden behind a mass of unwanted information we often resort to information processing used in its broad sense or specifically to signal processing when the useful information is a waveform. In geophysical surveys, in particular in aeromagnetic and gravity surveys, from the measured field it is often difficult to say much about any one specific target unless it is close to the surface and well isolated from the rest. The digital signal processing approach would enable us to bring out the underlying model of the source, that is, the geological structure. Some of the tools of dsp such as digital filtering, spectrum estimation, inversion, etc., have found extensive applications in aeromagnetic and gravity map analysis. There are other emerging applications of dsp in the area of inverse filtering, three dimensional visualization, etc.The purpose of this book is to bring numerous tools of dsp to the geophysical community, in particular, to those who are entering the geophysical profession. Also the practicing geophysicists, involved in the aeromagnetic and gravity data analysis, using the commercially available software packages, will find this book useful in answering their questions on "why and how?". It is hoped that such a background would enable the practising geophysicists to appreciate the prospects and limitations of the dsp in extracting useful information from the potential field maps. The topics covered are: potential field signals and models, digital filtering in two dimensions, spectrum estimation and application, parameter estimation with error bounds.
A Wavelet Tour Of Signal Processing
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Author : Stephane Mallat
language : en
Publisher: Elsevier
Release Date : 1999-09-14
A Wavelet Tour Of Signal Processing written by Stephane Mallat and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-14 with Computers categories.
This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics
Bifurcation In Autonomous And Nonautonomous Differential Equations With Discontinuities
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Author : Marat Akhmet
language : en
Publisher: Springer
Release Date : 2017-01-23
Bifurcation In Autonomous And Nonautonomous Differential Equations With Discontinuities written by Marat Akhmet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-23 with Mathematics categories.
This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types – those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations. The results obtained can be applied to various fields, such as neural networks, brain dynamics, mechanical systems, weather phenomena and population dynamics. Developing bifurcation theory for various types of differential equations, the book is pioneering in the field. It presents the latest results and provides a practical guide to applying the theory to differential equations with various types of discontinuity. Moreover, it offers new ways to analyze nonautonomous bifurcation scenarios in these equations. As such, it shows undergraduate and graduate students how bifurcation theory can be developed not only for discrete and continuous systems, but also for those that combine these systems in very different ways. At the same time, it offers specialists several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impact, differential equations with piecewise constant arguments of generalized type and Filippov systems.
Advances In Nonlinear Dynamics
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2022-03-01
Advances In Nonlinear Dynamics written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-01 with Technology & Engineering categories.
This second of three volumes includes papers from the second series of NODYCON which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Nonlinear vibration control · Control of nonlinear systems and synchronization · Experimental dynamics · System identification and SHM · Multibody dynamics
Introduction To Control Of Oscillations And Chaos
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Author : Alexander L Fradkov
language : en
Publisher: World Scientific
Release Date : 1998-10-20
Introduction To Control Of Oscillations And Chaos written by Alexander L Fradkov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-20 with Technology & Engineering categories.
This book gives an exposition of the exciting field of control of oscillatory and chaotic systems, which has numerous potential applications in mechanics, laser and chemical technologies, communications, biology and medicine, economics, ecology, etc.A novelty of the book is its systematic application of modern nonlinear and adaptive control theory to the new class of problems. The proposed control design methods are based on the concepts of Lyapunov functions, Poincare maps, speed-gradient and gradient algorithms. The conditions which ensure such control goals as an excitation or suppression of oscillations, synchronization and transformation from chaotic mode to the periodic one or vice versa, are established. The performance and robustness of control systems under disturbances and uncertainties are evaluated.The described methods and algorithms are illustrated by a number of examples, including classical models of oscillatory and chaotic systems: coupled pendula, brusselator, Lorenz, Van der Pol, Duffing, Henon and Chua systems. Practical examples from different fields of science and technology such as communications, growth of thin films, synchronization of chaotic generators based on tunnel diods, stabilization of swings in power systems, increasing predictability of business-cycles are also presented.The book includes many results on nonlinear and adaptive control published previously in Russian and therefore were not known to the West.Researchers, teachers and graduate students in the fields of electrical and mechanical engineering, physics, chemistry, biology, economics will find this book most useful. Applied mathematicians and control engineers from various fields of technology dealing with complex oscillatory systems will also benefit from it.