| 书目名称 | Elements of Applied Bifurcation Theory |
| 编辑 | Yuri A. Kuznetsov |
| 视频video | |
| 概述 | Dynamical systems continues to be a topic of current interest in mathematics, engineering, and physics..This modern approach provides the reader with a solid basis in dynamical systems theory and the |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | The favorable reaction to the ?rst edition of this book con?rmed that the publication of such an application-oriented text on bifurcation theory of dynamical systems was well timed. The selected topics indeed cover - jor practical issues of applying the bifurcation theory to ?nite-dimensional problems. This new edition preserves the structure of the ?rst edition while updating the context to incorporate recent theoretical developments, in particular, new and improved numerical methods for bifurcation analysis. The treatment of some topics has been clari?ed. Major additions can be summarized as follows: In Chapter 3, an e- mentary proof of the topological equivalence of the original and truncated normal forms for the fold bifurcation is given. This makes the analysis of codimension-one equilibrium bifurcations of ODEs in the book complete. This chapter also includes an example of the Hopf bifurcation analysis in a planar system using MAPLE, a symbolic manipulation software. Chapter 4 includes a detailed normal form analysis of the Neimark-Sacker bif- cation in the delayed logistic map. In Chapter 5, we derive explicit f- mulas for the critical normal form coe?cients of all codim 1 b |
| 出版日期 | Book 19982nd edition |
| 关键词 | bifurcation; dynamical systems; numerical method; stability |
| 版次 | 2 |
| doi | https://doi.org/10.1007/b98848 |
| isbn_ebook | 978-0-387-22710-8Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag New York 1998 |
发表于 2025-3-21 16:39:15
