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Nonlinear Dynamical Systems in Engineering : Some Approximate Approaches / by Vasile Marinca, Nicolae Herisanu
| データ種別 | 電子ブック |
|---|---|
| 著者標目 | *Marinca, Vasile author Herisanu, Nicolae author SpringerLink (Online service) |
| 出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
| 出版年 | 2011 |
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| 巻次 | ISBN:9783642227356 |
|---|---|
| 大きさ | XII, 396 p : online resource |
| 一般注記 | Introduction -- Perturbation method (Lindstedt-Poincaré) -- The method of harmonic balance -- The method of Krylov and Bogolyubov -- The method of multiple scales -- The optimal homotopy asymptotic method -- The optimal homotopy perturbation method -- The optimal variational iteration method -- Optimal parametric iteration method This book presents and extends different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions". These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from various fields of engineering HTTP:URL=http://dx.doi.org/10.1007/978-3-642-22735-6 |
| 件 名 | LCSH:Engineering LCSH:Computer mathematics LCSH:Statistical physics LCSH:Complexity, Computational FREE:Engineering FREE:Complexity FREE:Computational Mathematics and Numerical Analysis FREE:Nonlinear Dynamics |
| 分 類 | LCC:QA76.9.M35 DC23:620 |
| 書誌ID | OB00006911 |
| ISBN | 9783642227356 |