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Author : Ioėlʹ Gilʹevich Malkin
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)
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:
Author : John Guckenheimer
Publisher : Springer Science & Business Media
ISBN 13 : 1461211409
Total Pages : 475 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields written by John Guckenheimer and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
Author : Lamberto Cesari
Publisher : Princeton University Press
ISBN 13 : 1400882648
Total Pages : 300 pages
Book Rating : 4.4/5 (8 download)
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.
Author : P.S Landa
Publisher : Springer Science & Business Media
ISBN 13 : 9401587639
Total Pages : 550 pages
Book Rating : 4.4/5 (15 download)
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.
Author : Vladimir Ivanovich Zubov
Publisher : World Scientific
ISBN 13 : 9789810209780
Total Pages : 416 pages
Book Rating : 4.2/5 (97 download)
Download or read book Theory of Oscillations written by Vladimir Ivanovich Zubov and published by World Scientific. This book was released on 1999 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the controlled/non-controlled nonlinear systems of differential equations. A mathematical apparatus is developed to construct stationary conditions and to carry out studies on the behaviour of integral curves in the neighbourhood of such conditions.Considerable coverage is given to existence and methods of finding periodic orbits and almost-periodic solutions, as well as to the description of the class of ergodic recurrent motions. There is further treatment of the perturbation method and the theory of time-independent and periodic perturbations in particular.The theory developed here is applied to the construction and investigation of the neigbourhood of time-independent conditions for nonlinear systems of automatic control, and the control of charged particle beam in magnetic field. Some other specific problems are also solved such as after effect systems and orbit quantization.
Author : Thomas L., Saaty
Publisher : RWS Publications
ISBN 13 : 1888603380
Total Pages : 404 pages
Book Rating : 4.8/5 (886 download)
Download or read book Non Linear Mathematics Vol. I written by Thomas L., Saaty and published by RWS Publications. This book was released on 2014-12-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."
Author : Vi︠a︡cheslav Mikhaĭlovich Starzhinskiĭ
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.E/5 ( download)
Download or read book Applied Methods in the Theory of Nonlinear Oscillations written by Vi︠a︡cheslav Mikhaĭlovich Starzhinskiĭ and published by . This book was released on 1980 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 1400881757
Total Pages : 224 pages
Book Rating : 4.4/5 (8 download)
Download or read book Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.
Author : Valeri Obukhovskii
Publisher : Springer
ISBN 13 : 3642370705
Total Pages : 189 pages
Book Rating : 4.6/5 (423 download)
Download or read book Method of Guiding Functions in Problems of Nonlinear Analysis written by Valeri Obukhovskii and published by Springer. This book was released on 2013-05-13 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.
Author : Ahmed A. Moustafa
Publisher : John Wiley & Sons
ISBN 13 : 1119159180
Total Pages : 845 pages
Book Rating : 4.1/5 (191 download)
Download or read book Computational Models of Brain and Behavior written by Ahmed A. Moustafa and published by John Wiley & Sons. This book was released on 2017-09-18 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive Introduction to the world of brain and behavior computational models This book provides a broad collection of articles covering different aspects of computational modeling efforts in psychology and neuroscience. Specifically, it discusses models that span different brain regions (hippocampus, amygdala, basal ganglia, visual cortex), different species (humans, rats, fruit flies), and different modeling methods (neural network, Bayesian, reinforcement learning, data fitting, and Hodgkin-Huxley models, among others). Computational Models of Brain and Behavior is divided into four sections: (a) Models of brain disorders; (b) Neural models of behavioral processes; (c) Models of neural processes, brain regions and neurotransmitters, and (d) Neural modeling approaches. It provides in-depth coverage of models of psychiatric disorders, including depression, posttraumatic stress disorder (PTSD), schizophrenia, and dyslexia; models of neurological disorders, including Alzheimer’s disease, Parkinson’s disease, and epilepsy; early sensory and perceptual processes; models of olfaction; higher/systems level models and low-level models; Pavlovian and instrumental conditioning; linking information theory to neurobiology; and more. Covers computational approximations to intellectual disability in down syndrome Discusses computational models of pharmacological and immunological treatment in Alzheimer's disease Examines neural circuit models of serotonergic system (from microcircuits to cognition) Educates on information theory, memory, prediction, and timing in associative learning Computational Models of Brain and Behavior is written for advanced undergraduate, Master's and PhD-level students—as well as researchers involved in computational neuroscience modeling research.
Author : Constantin Corduneanu
Publisher : John Wiley & Sons
ISBN 13 : 1119189489
Total Pages : 366 pages
Book Rating : 4.1/5 (191 download)
Download or read book Functional Differential Equations written by Constantin Corduneanu and published by John Wiley & Sons. This book was released on 2016-03-25 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
Author : Tong-Ren Ding
Publisher : World Scientific
ISBN 13 : 981270468X
Total Pages : 394 pages
Book Rating : 4.8/5 (127 download)
Download or read book Approaches to the Qualitative Theory of Ordinary Differential Equations written by Tong-Ren Ding and published by World Scientific. This book was released on 2007 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing's equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.
Author : Michael Bushev
Publisher : World Scientific
ISBN 13 : 9789810212865
Total Pages : 300 pages
Book Rating : 4.2/5 (128 download)
Download or read book Synergetics written by Michael Bushev and published by World Scientific. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: For centuries, humankind has believed that the world with all its form and structure was created by supernatural forces. In recent decades science has shaken these beliefs with the discovery of the exciting possibility of a self-created and self-creating world ? of self-organization. Synergetics endeavours to reveal the intimate mechanisms of self-organization. The transitions from chaos to order, the nature of self-organization, the various approaches to it and certain philosophical inferences are outlined. Synergetics thus represents a remarkable confluence of many strands of thought, and has become a paradigm in modern culture. This book exposes the reader to striking new vistas in physics and mathematics, chemistry and biology, social sciences and philosophy ? all interlocked around the concept of self-organization.
Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 1400882176
Total Pages : 300 pages
Book Rating : 4.4/5 (8 download)
Download or read book Contributions to the Theory of Nonlinear Oscillations, Volume III written by Solomon Lefschetz 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.
Author : Vladimir I. Nekorkin
Publisher : John Wiley & Sons
ISBN 13 : 3527685421
Total Pages : 264 pages
Book Rating : 4.5/5 (276 download)
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.
Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 140088263X
Total Pages : 360 pages
Book Rating : 4.4/5 (8 download)
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.
Author : Yoshisuke Ueda
Publisher : Aerial Press (CA)
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Road to Chaos written by Yoshisuke Ueda and published by Aerial Press (CA). This book was released on 1992 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
