Nonlinear Resonance Analysis
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Nonlinear Resonance Analysis
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Author : Elena Kartashova
language : en
Publisher: Cambridge University Press
Release Date : 2010-10-21
Nonlinear Resonance Analysis written by Elena Kartashova and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-21 with Science categories.
Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.
Nonlinear Resonances
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Author : Shanmuganathan Rajasekar
language : en
Publisher: Springer
Release Date : 2015-11-30
Nonlinear Resonances written by Shanmuganathan Rajasekar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-30 with Science categories.
This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.
Nonlinear Resonance From Circuits To Systems
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Author : Luigi Fortuna
language : en
Publisher: World Scientific
Release Date : 2025-02-27
Nonlinear Resonance From Circuits To Systems written by Luigi Fortuna and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
This book is a specific monograph on nonlinear resonance in circuits and systems. The topic falls within the wider area of research that the authors have been developing during the last several years, which includes strange attractors and bifurcations in nonlinear circuits and control systems. Particularly, this monograph discusses the active use of jump resonance circuits, outlining the concept of multi jump and multiple hysteresis jump resonance with the aim of designing electronic circuits, either analog or digital, capable of sensing frequency drifts.The organization is optimized for the reader's quick acquisition of theoretical knowledge which can immediately be applied to carry out practical experiments on nonlinear circuits. The first few chapters present main concepts of jump resonance and the recent advances on nonlinear resonance. Then, the relevance of jump resonance is analyzed in the case of the Chua's circuit and presented in the discrete-time domain. The multi-jump resonance phenomenon is also studied, offering the real possibility of designing multi-jump resonance responses for multi-drift frequency detection. Some chapters focus on the presentation of practical devices, including digital solutions.This monograph is a suitable reading for both theorists and practitioners in nonlinear electronic circuits, especially those interested in how nonlinear resonance can be useful to design advanced circuits and systems.
Nonlinear Resonance Analysis
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Author :
language : en
Publisher:
Release Date : 2010
Nonlinear Resonance Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.
Nonlinear Resonance Computer Components
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Author : Takao Ozawa
language : en
Publisher:
Release Date : 1963
Nonlinear Resonance Computer Components written by Takao Ozawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Computers categories.
A mathematical analysis of the series resonant circuit is given. The principle of harmonic balance is applied to the differential equations for the circuit in order to obtain the steady state responses. It is shown that the circuit is a threshold device with respect to the amplitude of the driving voltage. A three phase clock system is used to drive the basic resonant circuits, which are coupled to form threshold logic. Various types of coupling between the circuits are considered. The transient response of the circuit which is closely related to the switching speed is analyzed by a series method. Two basic resonant circuits are coupled to form a flip-flop. The conditions for bistability of the coupled circuits are investigated. Possible realizations of the resonant circuit and the logic circuits are suggested, with the assumption that all necessary devices are available. (Author).
Introduction To Nonlinear Dynamics For Physicists
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Author : Henry D I Abarbanel
language : en
Publisher: World Scientific
Release Date : 1993-06-23
Introduction To Nonlinear Dynamics For Physicists written by Henry D I Abarbanel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-23 with Science categories.
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Proceedings Of The Annual Symposium On Frequency Control
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Author :
language : en
Publisher:
Release Date : 1975
Proceedings Of The Annual Symposium On Frequency Control written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Oscillators, Crystal categories.
Normal Modes And Localization In Nonlinear Systems
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Author : Alexander F. Vakakis
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11
Normal Modes And Localization In Nonlinear Systems written by Alexander F. Vakakis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.
This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
Linear And Nonlinear Rotordynamics
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Author : Yukio Ishida
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-05
Linear And Nonlinear Rotordynamics written by Yukio Ishida and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-05 with Technology & Engineering categories.
A wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics: Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wind turbines. The contents of other chapters on Balancing, Vibrations due to Mechanical Elements, and Cracked Rotors are added to and revised extensively. The authors provide a classification of rotating shaft systems and general coverage of key ideas common to all branches of rotordynamics. They offers a unique analysis of dynamical problems, such as nonlinear rotordynamics, self-excited vibration, nonstationary vibration, and flow-induced oscillations. Nonlinear resonances are discussed in detail, as well as methods for shaft stability and various theoretical derivations and computational methods for analyzing rotors to determine and correct vibrations. This edition also includes case studies and problems.
Evolution Of Extreme Waves And Resonances
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Author : Shamil U. Galiev
language : en
Publisher: CRC Press
Release Date : 2020-06-10
Evolution Of Extreme Waves And Resonances written by Shamil U. Galiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-10 with Science categories.
The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle–waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different artificial and natural systems from atom scale to the Universe are explored. Vast amounts of experimental data and comparisons of them with the results of the developed theory are presented. The book was written for graduate students as well as for researchers and engineers in the fields of geophysics, nonlinear wave studies, cosmology, physical oceanography, and ocean and coastal engineering. It is designed as a professional reference for those working in the wave analysis and modeling fields.