书目名称 | Multifrequency Oscillations of Nonlinear Systems |
编辑 | A. Samoilenko,R. Petryshyn |
视频video | |
概述 | Opens new possibilities of the application of the averaging method to the solution of problems in mechanics, radio engineering, and control |
丛书名称 | Mathematics and Its Applications |
图书封面 |  |
描述 | .In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. ..In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. ..This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations. . |
出版日期 | Book 2004 |
关键词 | Manifold; brandonwiskunde; equation; ordinary differential equation; proof; system; theorem; variable; ordin |
版次 | 1 |
doi | https://doi.org/10.1007/1-4020-2031-7 |
isbn_softcover | 978-90-481-6574-2 |
isbn_ebook | 978-1-4020-2031-5 |
copyright | Springer Science+Business Media Dordrecht 2004 |