Strongly nonlinear oscillators analytical solutions / [electronic resource] :
- 作者： Cveticanin, Livija.
- 其他作者：
- 其他題名：
- Undergraduate lecture notes in physics
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Undergraduate lecture notes in physics
- 主題： Nonlinear oscillators. , Chaotic behavior in systems , Physics , Nonlinear Dynamics. , Appl.Mathematics/Computational Methods of Engineering. , Mathematical Applications in the Physical Sciences. , Mathematical Methods in Physics. , Vibration, Dynamical Systems, Control.
- ISBN： 9783319052724 (electronic bk.) 、 9783319052717 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005120308 | 機讀編目格式
館藏資訊
This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.