Theory of Oscillators

Theory of Oscillators
Author: A. A. Andronov
Publisher: Elsevier
Total Pages: 848
Release: 2013-10-22
Genre: Science
ISBN: 1483194728

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Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.

Oscillatory Models in General Relativity

Oscillatory Models in General Relativity
Author: Esra Russell
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 154
Release: 2017-11-20
Genre: Science
ISBN: 3110515369

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The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. Contents Part I: Dissipative geometry and general relativity theory Pseudo-Riemannian geometry and general relativity Dynamics of universe models Anisotropic and homogeneous universe models Metric waves in a nonstationary universe and dissipative oscillator Bosonic and fermionic models of a Friedman–Robertson–Walker universe Time dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipations Lagrangian and Hamilton descriptions Damped oscillator: classical and quantum theory Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency Riccati representation of time dependent damped oscillators Quantization of the harmonic oscillator with time dependent parameters

Further Insights into Oscillation Theory

Further Insights into Oscillation Theory
Author: Nikolai Verichev
Publisher: Cambridge Scholars Publishing
Total Pages: 496
Release: 2021-07-27
Genre: Technology & Engineering
ISBN: 1527572978

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The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.

Theory of Oscillators

Theory of Oscillators
Author: Aleksandr Aleksandrovich Andronov
Publisher:
Total Pages: 358
Release: 1949
Genre: Oscillations
ISBN:

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Chaotic Oscillators: Theory And Applications

Chaotic Oscillators: Theory And Applications
Author: Tomasz Kapitaniak
Publisher: World Scientific
Total Pages: 669
Release: 1992-11-30
Genre: Science
ISBN: 9814506214

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This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.

Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
Author: Alberto Parmeggiani
Publisher: Springer
Total Pages: 260
Release: 2010-07-23
Genre: Mathematics
ISBN: 3642119220

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This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003–2007) “Development of Dynamical Mathematics with High Fu- tionality” (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program “DMHF”, Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? R×R,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Trading with Oscillators

Trading with Oscillators
Author: Mark Etzkorn
Publisher: John Wiley & Sons
Total Pages: 180
Release: 1997-12-29
Genre: Business & Economics
ISBN: 9780471155386

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Als "Oszillatoren" bezeichnet man eine Gruppe von Marktindikatoren, anhand derer man Wendepunkte in Märkten ermitteln kann. Oszillatoren gehören zu den am häufigsten benutzten Marktindikatoren. Der RSI (Relative Stärke Index) bildet die Grundlage für Kombinationen mit anderen Indikatoren und stellt ein wichtiges Werkzeug für jeden Händler dar. Dieses bahnbrechende Buch behandelt schwerpunktmäßig die praktischen Anwendungen und den Einsatz solch wichtiger Indikatoren wie Stochastic, Momentum, Elder-Ray, Williams%R und den Relative Stärke Index (RSI), der bedeutendste unter den genannten. Der Autor veranschaulicht, wie RSI die innere Stärke eines Wertpapiers ermittelt, wie man ihn berechnet, und wie man ihn einsetzt, um besser entscheiden zu können, ob man bestimmte Marktsignale annimmt oder ablehnt. Darüber hinaus wird aufgezeigt, wie Investoren den RSI unter verschiedenen Marktbedingungen und Zeitspannen adaptieren, modifizieren, anwenden und ihn mit anderen Indikatoren kombinieren können. (01/98)

The Design of Modern Microwave Oscillators for Wireless Applications

The Design of Modern Microwave Oscillators for Wireless Applications
Author: Ulrich L. Rohde
Publisher: Wiley-Interscience
Total Pages: 560
Release: 2005-06-03
Genre: Technology & Engineering
ISBN: 9780471723424

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Delivering the best possible solution for phase noise and output power efficiency in oscillators This complete and thorough analysis of microwave oscillators investigates all aspects of design, with particular emphasis on operating conditions, choice of resonators and transistors, phase noise, and output power. It covers both bipolar transistors and FETs. Following the authors' guidance, readers learn how to design microwave oscillators and VCOs that can be tuned over a very wide frequency range, yet have good phase noise, are low cost, and are small in size. All the essential topics in oscillator design and development are covered, including: * Device and resonator technology * Study of noise sources * Analysis methods * Design, calculation, and optimization methodologies * Practical design of single and coupled oscillators While most of the current literature in the field concentrates on classic design strategies based on measurements, simulation, and optimization of output power and phase noise, this text offers a unique approach that focuses on the complete understanding of the design process. The material demonstrates important design rules starting with the selection of best oscillator topology, choice of transistors, and complete phase noise analysis that leads to optimum performance of all relevant oscillator features. Also included are CMOS oscillators, which recently have become important in cellular applications. For readers interested in specialized applications and topics, a full chapter provides all the necessary references. The contents of the text fall into two major categories: * Chapters 1 through 9 deal with a very detailed and expanded single resonator oscillator, including a thorough treatment of both nonlinear analysis and phase noise * Chapters 10 and 11 use the knowledge obtained and apply it to multiple coupled oscillators (synchronized oscillators) This text is partially based on research sponsored by the Defense Advanced Research Projects Agency (DARPA) and the United States Army and conducted by Synergy Microwave Corporation. With the wealth of information provided for the analysis and practical design of single and synchronized low-noise microwave oscillators, it is recommended reading for all RF microwave engineers. In addition, the text's comprehensive, step-by-step approach makes it an excellent graduate-level textbook.

A Smooth and Discontinuous Oscillator

A Smooth and Discontinuous Oscillator
Author: Qingjie Cao
Publisher: Springer
Total Pages: 273
Release: 2016-09-27
Genre: Technology & Engineering
ISBN: 3662530945

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This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and the perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences.

Foundations of Oscillator Circuit Design

Foundations of Oscillator Circuit Design
Author: Guillermo Gonzalez
Publisher: Artech House Publishers
Total Pages: 448
Release: 2007
Genre: Technology & Engineering
ISBN:

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Oscillators are an important component in today's RF and microwave systems, and practitioners in the field need to know how to design oscillators for stability and top performance. Offering engineers broader coverage than other oscillator design books on the market, this comprehensive resource considers the complete frequency range, from low-frequency audio oscillators to more complex oscillators found at the RF and microwave frequencies. Packed with over 1,200 equations, the book gives professionals a thorough understanding of the principles and practice of oscillator circuit design and emphasizes the use of time-saving CAD (computer aided design) simulation techniques. From the theory and characteristics of oscillators, to the design of a wide variety of oscillators (including tuned-circuit, crystal, negative-resistance, and relaxation oscillators), this unique book is a one-stop reference practitioners can turn to again and again when working on their challenging projects in this field.