书目名称 | Elements of Applied Bifurcation Theory | 编辑 | Yuri A. Kuznetsov | 视频video | | 概述 | Center manifold reduction & computation of normal forms is applied; normal forms for bifurcations of limit cycles.More results on topological equivalence of scalar maps are given.Techniques to study d | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | . This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. .This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.. From reviews of earlier editions:. "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - .Math Reviews. "The book is a fine addition to the dynamical syst | 出版日期 | Book 2023Latest edition | 关键词 | Mathematica; applied mathematics; bifurcation; dynamical systems; numerical analysis; numerical method; st | 版次 | 4 | doi | https://doi.org/10.1007/978-3-031-22007-4 | isbn_softcover | 978-3-031-22009-8 | isbn_ebook | 978-3-031-22007-4Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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