Multifrequency oscillations of nonlinear systems
- 作者: Samoĭlenko, A. M.
- 其他作者: Petryshyn, R.,
- 出版: Dordrecht ;Boston : Kluwer Academic Publishers ©2004.
- 稽核項: 1 online resource (vi, 317 pages).
- 叢書名: Mathematics and its applications ;v. 567
- 標題: SCIENCE System Theory. , SCIENCE , Electronic books. , System Theory. , Nonlinear oscillations.
- ISBN: 1402020309 , 9781402020308
- ISBN: 1402020309
- 試查全文@TNUA:
- 附註: Includes bibliographical references (pages 297-317). From the contents: Introduction. 1: Averaging Method in Oscillation Systems with Variable Frequencies -- 2: Averaging Method in Multipoint Problems -- 3: Integral Manifolds -- 4: Investigation of a Dynamical System in the Neighborhood of Quasiperiodic Trajectory -- References.
- 摘要: 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.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=121911
- 系統號: 005312207
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
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.
來源: Google Book
來源: Google Book
評分
