
应用非线性动力系统与混沌导论
Introduction to applied nonlinear dynamical systems and chaos
Stephen Wiggins · 初版 1990 年
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这部厚重的著作旨在为高年级本科生或一年级研究生提供 applied nonlinear dynamics and chaos 的入门介绍。作者着重传授相关技术与思想,以使学生能够针对具体动力系统获取有关其行为的定量信息。书中涵盖了深入学习与研究所必需的核心基础内容。因此,对于不一定具备深厚数学背景的人士,例如工科、物理学、化学和生物学专业的学生而言……
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……对称结构。从网站上看不出来这些是已经证明了的对称性还是仅仅观察到的。有一本比 Gleick 那本稍微更硬核/偏技术一点的好书(我觉得 Gleick 讲到的细节其实没毛病),是 Stephen Wiggins 写的《Introduction to Applied Nonlinear Dynamical Systems and Chaos》。它需要本科数学基础,但算是一本研究生教材,因为必须非常仔细地精读才跟得上。前 17 章设计的是一个学期的课程量。
…symmetric structures. It is unclear from the website if these are proven symmetries or observed. A good book that is a bit more technical than Gleick (which I found not wrong in the details it does have) is “Introduction to Applied Nonlinear Dynamical Systems and Chaos” by Stephen Wiggins. It requires basic under grad maths but is a graduate text in that very close reading is needed to follow. The first 17 chapters are intended as a semester class.
……2”在合适的条件下是混沌的。技术描述可以从 [0] 的第 567 页开始看,不过 Google Books 的预览里缺了几页很关键的内容。[0] Stephen Wiggins - Introduction to Applied Nonlinear Dynamical Systems and Chaos http://books.google.com/books?id=GYcOfuZDOKMC&lpg=PA565&ots=... [1] 混沌的关键特征在 http://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics 里有介绍
…two" is chaotic in the right circumstances. The technical description can be found starting at page 567 of [0], though the Google Books preview has some important pages missing. [0] Stephen Wiggins - Introduction to Applied Nonlinear Dynamical Systems and Chaos http://books.google.com/books?id=GYcOfuZDOKMC&lpg=PA565&ots=... [1] The key attributes of chaos are described in http://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics