Classification of Simple Higher-Order Symmetry-Breaking Bifurcations and Their Computation

作     者：叶瑞松 杨忠华 Ye Ruisong;Yang Zhonghua(Shantotou University) (Shanghai Normal University)

出 版 物：《Advances in Manufacturing》 (先进制造进展（英文版）)

年 卷 期：1997年第3期

页      面：175-183页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Z_2-symmetry strongly Z_2-equivalent symmetry-breaking bifurcation extended system 

摘      要：This paper deals with the classification of the simple higher-order symmetry-breaking bifurcation in multiparameter nonlinear problems with Z2-symmetry. The regular extended systems for computing the simple higher-order symmetry-breaking bifurcation points with different singularities are proposed. An etficient algorithm for solving the extended systems is given. Finally, some numerical examples are shown to demonstrate the efficiency of the algorithm.