非线性系统，第1卷：数学理论和计算方法

English | PDF,EPUB | 2018 | 428 Pages | ISBN : 3319667653 | 45.04 MB

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.

这本书是两卷集的一部分，它以非线性现象作为基础科学和应用科学以及工程领域长期存在的挑战为主题，进行了分析。书中讨论了非线性微分方程及微分方程、周期轨道的分支理论与全局连接。还概述了平面向量场的可积性和反转性的理论分析经典物理模型的理论分析。第一卷主要集中在数学理论和计算技术上，这些对于研究非线性科学是必不可少的；第二卷则关注于凝聚态物质、生物学和光学中的实际世界非线性现象。

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