株式会社極東書店トップ ＞ 商品一覧 ＞ The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations. 1st ed. 2016.
商品詳細
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations. 1st ed. 2016.
・ISBN 978-3-319-29660-9 hard EUR 99.99
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| 著者・編者 | Haro, Alex / Canadell, Marta / Figueras, Jordi-Lluis / Luque, Alejandro / Mondelo, Josep Maria, |
|---|---|
| シリーズ | Applied Mathematical Sciences |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 267 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24545＞ |
解説
This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online.
The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.