Approximation Procedures in Nonlinear Oscillation Theory

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110885719
Total Pages : 284 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Approximation Procedures in Nonlinear Oscillation Theory by : Nikolai A. Bobylev

Download or read book Approximation Procedures in Nonlinear Oscillation Theory written by Nikolai A. Bobylev and published by Walter de Gruyter. This book was released on 2012-05-10 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Eduardo V. Teixeira, Free Boundary Problems: A Primer (2018) Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong

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Publisher : Academic Press
ISBN 13 : 9780080955681
Total Pages : 322 pages
Book Rating : 4.9/5 (556 download)

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Book Synopsis Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong by :

Download or read book Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong written by and published by Academic Press. This book was released on 1969 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Truly Nonlinear Oscillations

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Publisher :
ISBN 13 : 9814466042
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Truly Nonlinear Oscillations by :

Download or read book Truly Nonlinear Oscillations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110208288
Total Pages : 245 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics by : Victor G. Zvyagin

Download or read book Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics written by Victor G. Zvyagin and published by Walter de Gruyter. This book was released on 2008-09-25 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present functional analytical methods for solving a class of partial differential equations. The results have important applications to the numerical treatment of rheology (specific examples are the behaviour of blood or print colours) and to other applications in fluid mechanics. A class of methods for solving problems in hydrodynamics is presented.

Oscillations in Planar Dynamic Systems

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Publisher : World Scientific
ISBN 13 : 981450033X
Total Pages : 340 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Oscillations in Planar Dynamic Systems by : Ronald E Mickens

Download or read book Oscillations in Planar Dynamic Systems written by Ronald E Mickens and published by World Scientific. This book was released on 1996-01-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems. These systems model many important phenomena in the sciences and engineering. In addition to the usual perturbation procedures, the book gives the details of when and how to correctly apply the method of harmonic balance for both first-order and higher-order calculations. This procedure is rarely given or discussed fully in standard textbooks. The basic philosophy of the book stresses how to initiate and complete the calculation of approximate solutions. This is done by a clear presentation of necessary background materials and by the working out of many examples. Contents:Oscillatory SystemsLindstedt-Poincaré Perturbation MethodMethod of Krylov–Bogoliubov–MitropolskyHarmonic BalanceMulti-Time ExpansionsGeneral Second-Order SystemsAppendices Readership: Applied mathematicians. keywords:Nonlinear Oscillations;Perturbation Methods;Multi-Time Expansions;Harmonic Balance;Stability;Qualitative Theory of Differential Equations;Periodic Functions;Lindstedt-Poincare Method;Averaging Method “This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems … a clear presentation of necessary background materials and by the working out of many examples.” Lavoisier-Technique et Documentation

Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I

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Author :
Publisher : Princeton University Press
ISBN 13 : 140088263X
Total Pages : 360 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I by : Solomon Lefschetz

Download or read book Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I, will be forthcoming.

Nonlinear Oscillations

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Publisher : John Wiley & Sons
ISBN 13 : 3527617590
Total Pages : 720 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonlinear Oscillations by : Ali H. Nayfeh

Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.

Blow-Up in Nonlinear Equations of Mathematical Physics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110599007
Total Pages : 344 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Blow-Up in Nonlinear Equations of Mathematical Physics by : Maxim Olegovich Korpusov

Download or read book Blow-Up in Nonlinear Equations of Mathematical Physics written by Maxim Olegovich Korpusov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results

Some Problems in the Theory of Nonlinear Oscillations

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Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Some Problems in the Theory of Nonlinear Oscillations by : Ioėlʹ Gilʹevich Malkin

Download or read book Some Problems in the Theory of Nonlinear Oscillations written by Ioėlʹ Gilʹevich Malkin and published by . This book was released on 1959 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Science of Hysteresis

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Publisher : Elsevier
ISBN 13 : 9780080540788
Total Pages : 2160 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Science of Hysteresis by : Giorgio Bertotti

Download or read book The Science of Hysteresis written by Giorgio Bertotti and published by Elsevier. This book was released on 2005-12-20 with total page 2160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics

Asymptotic Methods in the Theory of Non-linear Oscillations

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Author :
Publisher :
ISBN 13 :
Total Pages : 566 pages
Book Rating : 4.3/5 (91 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 . This book was released on 1961 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson

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Publisher : Elsevier
ISBN 13 : 0080955568
Total Pages : 239 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson by :

Download or read book Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson written by and published by Elsevier. This book was released on 2000-04-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

History of Nonlinear Oscillations Theory in France (1880-1940)

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Author :
Publisher : Springer
ISBN 13 : 3319552392
Total Pages : 381 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis History of Nonlinear Oscillations Theory in France (1880-1940) by : Jean-Marc Ginoux

Download or read book History of Nonlinear Oscillations Theory in France (1880-1940) written by Jean-Marc Ginoux and published by Springer. This book was released on 2017-04-18 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time. This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed. Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments.

Nonlinear Oscillations and Waves in Dynamical Systems

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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.

Introduction to Nonlinear Oscillations

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Publisher : John Wiley & Sons
ISBN 13 : 352768543X
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 2016-05-02 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.

Brouwer Degree

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Publisher : Springer Nature
ISBN 13 : 303063230X
Total Pages : 462 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Brouwer Degree by : George Dinca

Download or read book Brouwer Degree written by George Dinca and published by Springer Nature. This book was released on 2021-05-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.

Contributions to the Theory of Nonlinear Oscillations

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691079110
Total Pages : 299 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Contributions to the Theory of Nonlinear Oscillations by : Solomon Lefschetz

Download or read book Contributions to the Theory of Nonlinear Oscillations written by Solomon Lefschetz and published by Princeton University Press. This book was released on with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM-36)" is not yet available.