The Theory Of Oscillations

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Theory of Oscillators

Author : A. A. Andronov
Publisher : Elsevier
ISBN 13 : 1483194728
Total Pages : 848 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Theory of Oscillators by : A. A. Andronov

Download or read book Theory of Oscillators written by A. A. Andronov and published by Elsevier. This book was released on 2013-10-22 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Frequency Methods in Oscillation Theory

Author : G.A. Leonov
Publisher : Springer Science & Business Media
ISBN 13 : 9400901933
Total Pages : 415 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Frequency Methods in Oscillation Theory by : G.A. Leonov

Download or read book Frequency Methods in Oscillation Theory written by G.A. Leonov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to nonlocal theory of nonlinear oscillations. The frequency methods of investigating problems of cycle existence in multidimensional analogues of Van der Pol equation, in dynamical systems with cylindrical phase space and dynamical systems satisfying Routh-Hurwitz generalized conditions are systematically presented here for the first time. To solve these problems methods of Poincaré map construction, frequency methods, synthesis of Lyapunov direct methods and bifurcation theory elements are applied. V.M. Popov's method is employed for obtaining frequency criteria, which estimate period of oscillations. Also, an approach to investigate the stability of cycles based on the ideas of Zhukovsky, Borg, Hartmann, and Olech is presented, and the effects appearing when bounded trajectories are unstable are discussed. For chaotic oscillations theorems on localizations of attractors are given. The upper estimates of Hausdorff measure and dimension of attractors generalizing Doudy-Oesterle and Smith theorems are obtained, illustrated by the example of a Lorenz system and its different generalizations. The analytical apparatus developed in the book is applied to the analysis of oscillation of various control systems, pendulum-like systems and those of synchronization. Audience: This volume will be of interest to those whose work involves Fourier analysis, global analysis, and analysis on manifolds, as well as mathematics of physics and mechanics in general. A background in linear algebra and differential equations is assumed.

Mathematical and Physical Papers

Author : William Thomson Baron Kelvin
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical and Physical Papers by : William Thomson Baron Kelvin

Download or read book Mathematical and Physical Papers written by William Thomson Baron Kelvin and published by . This book was released on 1884 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Oscillations in Nonlinear Systems

Author : Jack K. Hale
Publisher : Courier Dover Publications
ISBN 13 : 0486803260
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Oscillations in Nonlinear Systems by : Jack K. Hale

Download or read book Oscillations in Nonlinear Systems written by Jack K. Hale and published by Courier Dover Publications. This book was released on 2015-03-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

Oscillation Theory for Functional Differential Equations

Author : Lynn Erbe
Publisher : Routledge
ISBN 13 : 135142632X
Total Pages : 504 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Oscillation Theory for Functional Differential Equations by : Lynn Erbe

Download or read book Oscillation Theory for Functional Differential Equations written by Lynn Erbe and published by Routledge. This book was released on 2017-10-02 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.

Nonlinear Oscillations and Waves in Dynamical Systems

Author : P.S Landa
Publisher : Springer Science & Business Media
ISBN 13 : 9401587639
Total Pages : 550 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Nonlinear Oscillations and Waves in Dynamical Systems by : P.S Landa

Download or read book Nonlinear Oscillations and Waves in Dynamical Systems written by P.S Landa and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Oscillations of Literary Theory

Author : A. C. Facundo
Publisher : State University of New York Press
ISBN 13 : 1438463103
Total Pages : 244 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Oscillations of Literary Theory by : A. C. Facundo

Download or read book Oscillations of Literary Theory written by A. C. Facundo and published by State University of New York Press. This book was released on 2016-09-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oscillations of Literary Theory offers a new psychoanalytic approach to reading literature queerly, one that implicates queer theory without depending on explicit representations of sex or queer identities. By focusing on desire and identifications, A. C. Facundo argues that readers can enjoy the text through a variety of rhythms between two (eroticized) positions: the paranoid imperative and queer reparative. Facundo examines the metaphor of rupture as central to the logic of critique, particularly the project to undo conventional formations of identity and power. To show how readers can rebuild their relational worlds after the rupture, Facundo looks to the themes of the desire for omniscience, the queer pleasure of the text, loss and letting go, and the vanishing points that structure thinking. Analyses of Nabokov's Lolita, Danielewski's House of Leaves, Findley's The Wars, and Ishiguro's Never Let Me Go are included, which model this new approach to reading.

Introduction to Nonlinear Oscillations

Author : Vladimir I. Nekorkin
Publisher : John Wiley & Sons
ISBN 13 : 3527685421
Total Pages : 264 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Introduction to Nonlinear Oscillations by : Vladimir I. Nekorkin

Download or read book Introduction to Nonlinear Oscillations written by Vladimir I. Nekorkin and published by John Wiley & Sons. This book was released on 2015-04-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.

Biological Clocks, Rhythms, and Oscillations

Author : Daniel B. Forger
Publisher : MIT Press
ISBN 13 : 0262552817
Total Pages : 369 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger

Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

Damped Oscillations of Linear Systems

Author : Krešimir Veselić
Publisher : Springer Science & Business Media
ISBN 13 : 3642213340
Total Pages : 215 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Damped Oscillations of Linear Systems by : Krešimir Veselić

Download or read book Damped Oscillations of Linear Systems written by Krešimir Veselić and published by Springer Science & Business Media. This book was released on 2011-07-09 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

Theory of Oscillations

Author : A. A. Andronov
Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Theory of Oscillations by : A. A. Andronov

Download or read book Theory of Oscillations written by A. A. Andronov and published by . This book was released on 1983 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Oscillatory Models in General Relativity

Author : Esra Russell
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110515229
Total Pages : 185 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Oscillatory Models in General Relativity by : Esra Russell

Download or read book Oscillatory Models in General Relativity written by Esra Russell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Chemical Oscillations, Waves, and Turbulence

Author : Y. Kuramoto
Publisher : Springer Science & Business Media
ISBN 13 : 3642696899
Total Pages : 165 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Chemical Oscillations, Waves, and Turbulence by : Y. Kuramoto

Download or read book Chemical Oscillations, Waves, and Turbulence written by Y. Kuramoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle. The dis covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem onstrated in tbis book for the fields of coupled nonlinear oscillators.

Oscillations and Waves

Author : Richard Fitzpatrick
Publisher : CRC Press
ISBN 13 : 1351063081
Total Pages : 425 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Oscillations and Waves by : Richard Fitzpatrick

Download or read book Oscillations and Waves written by Richard Fitzpatrick and published by CRC Press. This book was released on 2018-07-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations. Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves. Features: Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Asymptotic Methods in the Theory of Non-linear Oscillations

Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher : CRC Press
ISBN 13 : 9780677200507
Total Pages : 556 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Asymptotic Methods in the Theory of Non-linear Oscillations by : Nikolaĭ Nikolaevich Bogoli︠u︡bov

Download or read book Asymptotic Methods in the Theory of Non-linear Oscillations written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and published by CRC Press. This book was released on 1961 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Oscillation Theory Of Partial Differential Equations

Author : Norio Yoshida
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107375
Total Pages : 339 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Oscillation Theory Of Partial Differential Equations by : Norio Yoshida

Download or read book Oscillation Theory Of Partial Differential Equations written by Norio Yoshida and published by World Scientific Publishing Company. This book was released on 2008-10-13 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book is designed to provide the reader with an exposition of interesting aspects — encompassing both rudimentary and advanced knowledge — of oscillation theory of partial differential equations, which dates back to the publication in 1955 of a paper by Ph Hartman and A Wintner. The objective of oscillation theory is to acquire as much information as possible about the qualitative properties of solutions of differential equations through the analysis of laws governing the distribution of zeros of solutions as well as the asymptotic behavior of solutions of differential equations under consideration.This textbook on oscillation theory of partial differential equations is useful for both specialists and graduate students working in the field of differential equations. The book will also help to stimulate further progress in the study of oscillation theory and related subjects.

Contributions to the Theory of Nonlinear Oscillations, Volume V

Author : Lamberto Cesari
Publisher : Princeton University Press
ISBN 13 : 1400882648
Total Pages : 300 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Contributions to the Theory of Nonlinear Oscillations, Volume V by : Lamberto Cesari

Download or read book Contributions to the Theory of Nonlinear Oscillations, Volume V written by Lamberto Cesari and published by Princeton University Press. This book was released on 2016-03-02 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.