A HOMOTOPY METHOD OF SWITCHING SOLUTION BRANCHES AT THE PITCHFORK BIFURCATION POINT

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Homotopy method Switching solution branches Pitchfork point.
• 年，卷（期）: 2001,（3）
• 页码范围: 299-308
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

By introducing proper parameters in the original nonlinear system, a continuation method for switching solution branches at a pitchfork point is proposed and their theories have been established in this paper. It is sufficient to implement this method that a standard continuation procedure is only used. Some numerical examples are given to illustrate the effectiveness of this method.