Forced Oscillations Of Nonlinear Hamiltonian Systems PDF Download
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Author | : Ivar Ekeland |
Publisher | : |
Total Pages | : 26 |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Forced Oscillations of Nonlinear Hamiltonian Systems, II. Book in PDF, ePub and Kindle
We study periodic solutions of the nonlinear Hamiltonian system with n degrees of freedom, the Hamiltonian H being convex and super quadratic in both variables, and the forcing terms being T-periodic with mean value zero. We prove that, if these forcing terms lie within bounds which we explicitly compute, system (H has some T-periodic solution, which we also locate explicitly.
Author | : Ivar Ekeland |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : Hamiltonian systems |
ISBN | : |
Download Forced Oscillations of Nonlinear Hamiltonian Systems 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 | : 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 | : Peter Hagedorn |
Publisher | : Oxford University Press, USA |
Total Pages | : 312 |
Release | : 1981 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Download Nichtlineare Schwingungen Book in PDF, ePub and Kindle
Author | : Fritz K. Kneubühl |
Publisher | : Springer Science & Business Media |
Total Pages | : 537 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662034689 |
Download Oscillations and Waves Book in PDF, ePub and Kindle
This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.
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 | : Frank H. Clarke |
Publisher | : |
Total Pages | : 26 |
Release | : 1979 |
Genre | : Boundary value problems |
ISBN | : |
Download Nonlinear Oscillations and Boundary-Value Problems for Hamiltonian Systems Book in PDF, ePub and Kindle
Hamilton's differential equations are basic in the study of theoretical mechanics. A particular class of motions of interest for such systems of equations are the periodic ones, which correspond to oscillations (vibrations) of the underlying physical system; the absence of such motions is usually associated with resonance phenomena. In this paper we give conditions on the Hamiltonian function H which guarantee the existence of periodic orbits, as well as other more general types of motions. One distinction with previous work on the subject is that we consider forced vibrations arising from external driving forces; another is that the solutions in question are characterized directly as the solutions of a specific minimization problem (i.e., we obtain a 'variational principle'), a feature which could prove useful for computational purposes.
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 | : 193 |
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.