Application Of Asymptotic Methods Of The Theory Of Nonlinear Oscillations To The Problem Of Wave Propagation PDF Download
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Author | : I. F. Budagyan |
Publisher | : |
Total Pages | : 7 |
Release | : 1966 |
Genre | : |
ISBN | : |
Download Application of Asymptotic Methods of the Theory of Nonlinear Oscillations to the Problem of Wave Propagation Book in PDF, ePub and Kindle
Author | : Nikolaĭ Nikolaevich Bogoli︠u︡bov |
Publisher | : CRC Press |
Total Pages | : 556 |
Release | : 1961 |
Genre | : Science |
ISBN | : 9780677200507 |
Download Asymptotic Methods in the Theory of Non-linear Oscillations Book in PDF, ePub and Kindle
Author | : Sergey G. Glebov |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 460 |
Release | : 2017-04-10 |
Genre | : Mathematics |
ISBN | : 3110382725 |
Download Oscillations and Resonances Book in PDF, ePub and Kindle
This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators
Author | : |
Publisher | : |
Total Pages | : 537 |
Release | : 1961 |
Genre | : |
ISBN | : |
Download Asymptotic Methods in the Theory of Non-linear Oscillations Book in PDF, ePub and Kindle
Author | : Nguyen Van Dao |
Publisher | : Springer Science & Business Media |
Total Pages | : 341 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 9401141509 |
Download IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems Book in PDF, ePub and Kindle
This volume contains selected papers presented at the Symposium on "Recent Developments in Non-linear Oscillations of Mechanical Systems", held in Hanoi, Vietnam, from 2 - 5 March 1999. This Symposium was initiated and sponsored by the International Union of Theoretical and Applied Mechanics (lUI AM) and organised in conjunction with Vietnam National University, Hanoi. Ihe purpose of the Symposium was to bring together scientists active in different fields of oscillations with the aim to review the recent progress in theory of oscillations and engineering applications and to outline the prospects in its further achievements to then co-ordinate and direct research in this field to further co-operation between scientists and various scientific institutions. An International Scientific Committee was appointed by the Bureau of IUI AM with the following members: Nguyen Van Dao (Vietnam, Co-Chairman) E.J. Kreuzer (Germany, Co-Chairman) D.H. van Campen (The Netherlands) F.L. Chernousko (Russia) A.H. Nayfeh (U.S.A) Nguyen Xuan Hung (Vietnam) W.O. Schiehlen (Germany) J.M.T. Thompson (U.K) Y. Veda (Japan). This Committee selected the participants to be invited and the papers to be presented at the Symposium. As a result of this procedure, 52 active scientists from 16 countries responded to the invitation, and 42 papers were presented in lecture and poster discussion sessions.
Author | : M. V. Karasev |
Publisher | : American Mathematical Soc. |
Total Pages | : 298 |
Release | : 2003 |
Genre | : Asymptotic symmetry (Physics) |
ISBN | : 9780821833360 |
Download Asymptotic Methods for Wave and Quantum Problems Book in PDF, ePub and Kindle
The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper ``Quantization and Intrinsic Dynamics'' a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods. Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrodinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point. All the papers contain detailed references and are oriented not only to specialists in asymptotic methods, but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.
Author | : Marco Sammartino |
Publisher | : World Scientific |
Total Pages | : 228 |
Release | : 2007-04-27 |
Genre | : Mathematics |
ISBN | : 9814475076 |
Download Asymptotic Methods In Nonlinear Wave Phenomena: In Honor Of The 65th Birthday Of Antonio Greco Book in PDF, ePub and Kindle
This book brings together several contributions from leading experts in the field of nonlinear wave propagation. This field, which during the last three decades has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or nanoscale and the recognition of crucial applications to the understanding of biological phenomena.Nonlinear wave theory requires the use of disparate approaches, including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory. This book presents a unique blend in which different aspects of the theory are enlightened and several real-life applications are investigated. The book will be a valuable resource for applied scientists interested in some of the most recent advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.
Author | : Maurice Roseau |
Publisher | : Elsevier |
Total Pages | : 360 |
Release | : 2012-12-02 |
Genre | : Mathematics |
ISBN | : 0444601910 |
Download Asymptotic Wave Theory Book in PDF, ePub and Kindle
Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods. It also discusses applications to the wave equation, the elements of scattering matrix theory, problems related to the wave equation, and diffraction. Organized into eight chapters, this volume begins with an overview of the Fourier-Laplace integral, the Mellin transform, and special functions such as the gamma function and the Bessel functions. It then considers wave propagation, with emphasis on representations of plane, cylindrical or spherical waves. It methodically introduces the reader to the reflexion and refraction of a plane wave at the interface between two homogeneous media, the asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity, and the asymptotic behavior of the Laplace transform. The book also examines the method of steepest descent, the asymptotic representation of Hankel's function of large order, and the scattering matrix theory. The remaining chapters focus on problems of flow in open channels, the propagation of elastic waves within a layered spherical body, and some problems in water wave theory. This book is a valuable resource for mechanics and students of applied mathematics and mechanics.
Author | : Nikolaĭ Nikolaevich Bogoli︠u︡bov |
Publisher | : |
Total Pages | : 898 |
Release | : 1955 |
Genre | : Asymptotes |
ISBN | : |
Download Asymptotic Methods in the Theory of Nonlinear Oscillations Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 290 |
Release | : 1977 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Download Problems of the asymptotic theory of nonlinear oscillations Book in PDF, ePub and Kindle