Dynamical Systems II pdf epub mobi txt 电子书 下载 2025
- 动力系统
- 非线性动力学
- 常微分方程
- 拓扑动力学
- 分岔理论
- 混沌
- 稳定性
- 李雅普诺夫指数
- 数值模拟
- 应用数学
具体描述
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.
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