On the Two Methods for Finding 4-Dimensional Duck Solutions

• 作者: Kiyoyuki Tchizawa
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Slow-Fast System Singular PERTURBATION DUCK SOLUTIONS BLOWING-UP NONSTANDARD Analysis
• 年，卷（期）: 2014,（1）
• 页码范围: 16-24
• 页数: 9页
• 分类号: O1

摘要

This paper gives the existence of a duck solution in a slow-fast system in R2+2 using two ways. One is an indirect way and the other is a direct way. In the indirect way, the original system is once reduced to the slow-fast system in R2+1. In the direct one, it has a 4-dimensional duck solution when having an efficient local model. This is already published in [1,2]. Some sufficient conditions are given to get such a good model.