评《分岔问题及其计算方法》

REVIEW OF BIFURCATION PROBLEMS AND NUMERICAL METHODS FOR THEM

本文评述了武际可教授和黄克服教授的著作《分岔问题及其计算方法》。该书从生活中常见的分岔问题出发,概述了各类分岔问题及其研究进展;该书的突出特点是以等价类定义分岔,由此对动力系统的稳定性、局部和全局分岔、静分岔与霍普夫分岔等问题进行了深入的论述,并详细介绍了弧长方法为代表的数值计算方法在求解分岔问题方面的有效性。该书是一本非常值得相关科研工作者学习的参考书。

This paper reviews the book Bifurcation Problems and Numerical Methods for them by Professors Wu Jike and Huang Kefu.This book introduces the common bifurcation problems in life,and summarizes various bifurcation problems and their research progress.The prominent characteristics of the book are based on equivalence class definition of bifurcation,thus the stability of power system,local and global bifurcation,the static bifurcation and Hopf bifurcation problems are discussed in-depth,and then the effectiveness of numerical method represented by arc length method in solving bifurcation problems is introduced in detail.This book is a reference book worthy of study by relevant researchers.