Global Bifurcations and Chaos
Global Bifurcations and Chaos
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DOI：
10.1007/978-1-4612-1042-9
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发表时间：
1988
期刊：
影响因子：
4.3
通讯作者：
Stephen Wiggins
中科院分区：
文献类型：
--
作者：
Stephen Wiggins
全局分叉和混沌：分析方法在混沌文献中是独一无二的，因为它不仅定义了确定性系统中混沌的概念，而且描述了引起混沌的机制（即同宿和异宿运动），并推导出明确的技术，从而可以在特定系统中检测到这些机制。这些技术可以被看作是Melnikov方法的推广，以多自由度系统的慢变参数和准周期激励。这本书的一个独特的特点是，每个定理都用图画来说明，使读者能够建立所描述的系统的全局动态的视觉图片。这种方法可以增强对理论的直观理解。
Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (ie, homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.