
Title  Asymptotic Approaches in Nonlinear Dynamics : New Trends and Applications 
Author(s)  Awrejcewicz, Jan;Andrianov, Igor V;Manevitch, Leonid I 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1998. 
Description  XI, 310 p : online resource 
Abstract Note  How well is Nature simulated by the varied asymptotic models that imaginative scientists have invented? B. Birkhoff [52J This book deals with asymptotic methods in nonlinear dynamics. For the first time a detailed and systematic treatment of new asymptotic methods in combination with the Pade approximant method is presented. Most of the basic results included in this manuscript have not been treated but just mentioned in the literature. Providing a stateoftheart review of asymptotic applications, this book will prove useful as an introduction to the field for novices as well a reference for specialists. Asymptotic methods of solving mechanical and physical problems have been developed by many authors. For example, we can refer to the excel?? lent courses by A. Nayfeh [119122]' M. Van Dyke [154], E.J. Hinch [94J and many others [59, 66, 95, 109, 126, 155, 163, 50d, 59dJ. The main features of the monograph presented are: 1) it is devoted to the basic principles of asymp?? totics and its applications, and 2) it deals with both traditional approaches (such as regular and singular perturbations, averaging and homogenization, perturbations of the domain and boundary shape) and less widely used, new approaches such as one and twopoint Pade approximants, the distributional approach, and the method of boundary perturbations 
ISBN,Price  9783642720796 
Keyword(s)  1. APPLIED MATHEMATICS
2. CLASSICAL MECHANICS
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. Mathematical and Computational Engineering
9. Mathematical Methods in Physics
10. MECHANICS
11. Mechanics, Applied
12. Numerical and Computational Physics, Simulation
13. PHYSICS
14. STATISTICAL PHYSICS
15. Theoretical and Applied Mechanics

Item Type  eBook 
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