| 书目名称 | Introduction to the Qualitative Theory of Differential Systems |
| 副标题 | Planar, Symmetric an |
| 编辑 | Jaume Llibre,Antonio E. Teruel |
| 视频video | |
| 概述 | Excellent for learning the use of basic results on qualitative theory of differential systems.Illustrates how to use the Poincaré map for studying the periodic orbits of a differential system.Shows th |
| 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher |
| 图书封面 |  |
| 描述 | The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists. |
| 出版日期 | Textbook 2014 |
| 关键词 | Poincaré map; bifurcation, bifurcation diagram; compactification; periodic solutions; qualitative theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0657-2 |
| isbn_ebook | 978-3-0348-0657-2Series ISSN 1019-6242 Series E-ISSN 2296-4894 |
| issn_series | 1019-6242 |
| copyright | Springer Basel 2014 |
发表于 2025-3-21 19:53:31
