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| 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 | : 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 | : M.I Rabinovich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 586 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9400910339 |
Download Oscillations and Waves Book in PDF, ePub and Kindle
'Et mai - ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
| 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 | : Santo Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 218 |
| Release | : 2021-09-10 |
| Genre | : Science |
| ISBN | : 1000404757 |
Download Dynamical Systems and Nonlinear Waves in Plasmas Book in PDF, ePub and Kindle
Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and comprehensible style to serve as a compact volume for advanced postgraduate students and researchers working in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas or other nonlinear media. It provides an introduction to the background of dynamical systems, waves, oscillations and plasmas. Basic concepts of dynamical systems and phase plane analysis for the study of dynamical properties of nonlinear waves in plasmas are presented. Different kinds of waves in plasmas are introduced. Reductive perturbative technique and its applications to derive different kinds of nonlinear evolution equations in plasmas are discussed. Analytical wave solutions of these nonlinear evolution equations are presented using the concept of bifurcation theory of planar dynamical systems in a very simple way. Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are presented using phase plots and time-series plots. Super nonlinear waves and its bifurcation behaviour are discussed for various plasma systems. Multiperiodic, quasiperiodic and chaotic motions of nonlinear plasma waves are discussed in presence of external periodic force. Multistability of plasma waves is investigated. Stable oscillation of plasma waves is also presented in dissipative plasmas. The book is meant for undergraduate and postgraduate students studying plasma physics. It will also serve a reference to the researchers, scientists and faculties to pursue the dynamics of nonlinear waves and its properties in plasmas. It describes the concept of dynamical systems and is useful in understanding exciting features, such as solitary wave, periodic wave, supernonlinear wave, chaotic, quasiperiodic and coexisting structures of nonlinear waves in plasmas. The concepts and approaches, discussed in the book, will also help the students and professionals to study such features in other nonlinear media.
| Author | : Andrei K. Abramian |
| Publisher | : Springer Nature |
| Total Pages | : 276 |
| Release | : 2020-11-02 |
| Genre | : Science |
| ISBN | : 303053006X |
Download Nonlinear Dynamics of Discrete and Continuous Systems Book in PDF, ePub and Kindle
This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonlinear dynamic processes in continua and structures; applications, including discrete and continuous dynamic models of structures and media; and problems of asymptotic approaches.
| Author | : Vladimir I. Nekorkin |
| Publisher | : John Wiley & Sons |
| Total Pages | : 264 |
| Release | : 2016-05-02 |
| Genre | : Science |
| ISBN | : 352768543X |
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 | : 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 | : 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 | : 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.
