Introduction To Nonlinear Oscillations PDF Download
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Author | : Vladimir I. Nekorkin |
Publisher | : John Wiley & Sons |
Total Pages | : 264 |
Release | : 2015-04-01 |
Genre | : Science |
ISBN | : 3527685421 |
Download Introduction to Nonlinear Oscillations Book in PDF, ePub and Kindle
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 | : Vladimir I. Nekorkin |
Publisher | : John Wiley & Sons |
Total Pages | : 264 |
Release | : 2015-06-08 |
Genre | : Science |
ISBN | : 3527413308 |
Download Introduction to Nonlinear Oscillations Book in PDF, ePub and Kindle
Ein Überblick über die Methoden zu Studium der Existenz und Stabilität nichtlinearer Schwingungen. Dieses Lehrbuch präsentiert systematisch die Theorie von Bifurkationen für ein- und zweidimensionale dynamische Systeme, die die Grundlage dieser Methoden bildet.
Author | : Ronald E. Mickens |
Publisher | : CUP Archive |
Total Pages | : 234 |
Release | : 1981 |
Genre | : Science |
ISBN | : 9780521222082 |
Download An Introduction to Nonlinear Oscillations Book in PDF, ePub and Kindle
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Author | : Jack K. Hale |
Publisher | : Courier Dover Publications |
Total Pages | : 192 |
Release | : 2015-03-24 |
Genre | : Mathematics |
ISBN | : 0486803260 |
Download Oscillations in Nonlinear Systems Book in PDF, ePub and Kindle
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.
Author | : P.S Landa |
Publisher | : Springer Science & Business Media |
Total Pages | : 550 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9401587639 |
Download Nonlinear Oscillations and Waves in Dynamical Systems Book in PDF, ePub and Kindle
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 | : Massimiliano Berti |
Publisher | : Springer Science & Business Media |
Total Pages | : 191 |
Release | : 2007-10-01 |
Genre | : Mathematics |
ISBN | : 0817646809 |
Download Nonlinear Oscillations of Hamiltonian PDEs Book in PDF, ePub and Kindle
Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.
Author | : John Guckenheimer |
Publisher | : Springer Science & Business Media |
Total Pages | : 475 |
Release | : 2013-11-21 |
Genre | : Mathematics |
ISBN | : 1461211409 |
Download Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Book in PDF, ePub and Kindle
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 | : Irving R. Epstein |
Publisher | : Oxford University Press |
Total Pages | : 407 |
Release | : 1998-10-22 |
Genre | : Science |
ISBN | : 0198025661 |
Download An Introduction to Nonlinear Chemical Dynamics Book in PDF, ePub and Kindle
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
Author | : Alexander Fidlin |
Publisher | : Springer Science & Business Media |
Total Pages | : 367 |
Release | : 2005-12-19 |
Genre | : Technology & Engineering |
ISBN | : 3540281169 |
Download Nonlinear Oscillations in Mechanical Engineering Book in PDF, ePub and Kindle
"Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions. Another important source of nonlinearity which is covered is that caused by rotating unbalanced parts common in various machines as well as variable inertias occurring in all kinds of crank mechanisms. This book is written for advanced undergraduate and postgraduate students, but it may be also helpful and interesting for both theoreticians and practitioners working in the area of mechanical engineering at universities, in research labs or institutes and especially in the R and D departments within industrial firms.
Author | : Ali H. Nayfeh |
Publisher | : John Wiley & Sons |
Total Pages | : 720 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3527617590 |
Download Nonlinear Oscillations Book in PDF, ePub and Kindle
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.