非线性动力学与混沌
Nonlinear dynamics and Chaos
Steven H. Strogatz、Steven Strogatz · 初版 1994 年
24人推荐
29位读者提及
35次提及
为什么值得读
- 叙述通俗易懂，不过分沉溺晦涩技术细节
- 涵盖连续系统与分形等离散动力学内容
- 是深入理解复杂系统不可或缺的基石
本教材面向非线性动力学与混沌领域的初学者，尤其是首次修读该课程的学生。全书在讲解上注重分析方法、具体实例以及几何直观。理论展开系统严谨，从一阶微分方程及其分岔入手，随后探讨相平面分析、极限环及其分岔，最终汇聚于 Lorenz 方程、混沌、迭代映射、倍周期分岔、重整化、分形以及奇异吸引子。本书的一大独特之处在于对实际应用的重视。这些
Hacker News 上怎么说
正在加载完整评论……
……数学，我会推荐：1. 柯朗和罗宾斯的《什么是数学？——对思想和方法的基本探讨》，一本通识类的数学书，颇有费曼物理学讲义的精髓。2. Strogatz 的《非线性动力学与混沌》——虽然范围有点窄（主要是动力系统，外加一点混沌/分形），但依然非常优秀。3. Tristan Needham 的《复分析可视化方法》，极佳的入门书……
…mathematics, I would recommend: 1. "What Is Mathematics? An Elementary Approach to Ideas and Methods" by Courant and Robbins -- a general book on mathematics in the spirit of Feynman lectures. 2. Strogatz's "Nonlinear Dynamics and Chaos" -- it's a bit narrow in scope (mostly dynamical systems with a little bit of chaos/fractals thrown in) but very good nonetheless. 3. Tristan Needham, "Visual Complex Analysis", beautiful introduction…
……并且成功在概念层面传达了许多核心思想，一点也不晦涩。如果你喜欢那本，可能也会喜欢 Strogatz 的《同步》（Sync）。如果想看稍微技术性一点的，Strogatz 的《非线性动力学与混沌》（Nonlinear Dynamics and Chaos）现在已经是标准教材了。它并不算特别深奥，写得相当漂亮，而且（在我看来）只要有微积分、微分方程背景，可能再懂一点点线性……的人都能轻松读懂。
…and manages to convey many of the ideas at a conceptual level without getting technical. And if you enjoy that, you might also like Strogatz's "Sync." For slightly more technical treatment, Strogatz's Nonlinear Dynamics and Chaos is now a standard text. It isn't terribly technical and is quite well written and (in my view) easy to read for anyone with a background in vector calculus, diff eqs, & perhaps a little bit of linear…
我这学期正好在上一门相关的课，我见过的绝大多数人用的都是 Steven Strogatz 的书（《非线性动力学与混沌》）。他主要聚焦在连续系统上，但书的末尾也有很多离散方面的内容，比如 Logistic 映射和分形。他的书绝对是这类主题的首选教材，不过大部分还是偏向……
I'm taking a course on it right now and most people I've seen use Steven Strogatz's book (Nonlinear Dynamics and Chaos). He mostly focuses on continuous systems, but the end of the book has a lot on discrete stuff like logistic maps and fractals. His book is definitely the book on stuff like this, but mostly oriented…
只要他们稍微接触过一点 diff eq（常微分方程），我就推荐 Strogatz 的《非线性动力学与混沌》（Nonlinear Dynamics and Chaos）。这个主题非常引人入胜，而这本书是我在所有学科里见过的最平易近人的教材之一。
If they have been exposed to diff eq at all I can recommend Strogatz Nonlinear Dynamics and Chaos. It's a very interesting subject, and the text is one of the most approachable I've come across for any subject.
Steven Strogatz 的《非线性动力学与混沌》（Nonlinear Dynamics and Chaos）相当不错。非线性动力学是复杂系统的支柱之一，所以很值得深入钻研。图论/拓扑紧随其后。Latora 和 Nicosia 写的《复杂网络》（Complex Networks）……
Nonlinear Dynamics and Chaos by Steven Strogatz is pretty good. Nonlinear dynamics is one of the backbones of complex systems, so it's worth delving into. Graph theory/topology is a close second. Complex Networks by Latora, Nicosia,…
这里推荐 3 本应用数学的神书：1）Strogatz 的《非线性动力学与混沌》彻底改变了我对应用数学的看法。我以前被迫学过常微分和偏微分方程，痛苦得要命，而且后来也没啥大用。传统教材根本不会告诉你……
Here are 3 applied math gems: 1) Nonlinear Dynamics and Chaos by Strogatz completely changed my relationship with applied math. I'd studied diffyqs and PDEs earlier but that was under duress and hasn't been particularly useful. Traditional books don't tell you that…