Dynamical Systems And Nonlinear Oscillations PDF Download
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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 | : G Ikegami |
Publisher | : World Scientific |
Total Pages | : 279 |
Release | : 1986-01-01 |
Genre | : |
ISBN | : 9814704288 |
Download Dynamical Systems And Nonlinear Oscillations - Proceedings Of The Symposium Book in PDF, ePub and Kindle
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 | : John M. Guckenheimer |
Publisher | : |
Total Pages | : 0 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields Book in PDF, ePub and Kindle
Author | : Gikō Ikegami |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 267 |
Release | : 1986 |
Genre | : Differentiable dynamical systems |
ISBN | : 9789971500689 |
Download Dynamical Systems and Nonlinear Oscillations Book in PDF, ePub and Kindle
Author | : Ferdinand Verhulst |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642971490 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.
Author | : John Guckenheimer |
Publisher | : |
Total Pages | : 459 |
Release | : 2017 |
Genre | : Bifurcation theory |
ISBN | : 9787519226176 |
Download Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Book in PDF, ePub and Kindle
Author | : Polina S. Landa |
Publisher | : Springer |
Total Pages | : 544 |
Release | : 2012-12-22 |
Genre | : Mathematics |
ISBN | : 9789401587648 |
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 | : |
Publisher | : |
Total Pages | : |
Release | : 1986 |
Genre | : MATHEMATICS |
ISBN | : 9789814542371 |
Download Dynamical Systems and Nonlinear Oscillations Book in PDF, ePub and Kindle
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.