On the Two Methods for Finding 4-Dimensional Duck Solutions
On the Two Methods for Finding 4-Dimensional Duck Solutions作者机构：Institute of Administration Engineering Ltd. Tokyo Japan
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2014年第5卷第1期
页 面：16-24页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Slow-Fast System Singular Perturbation Duck Solutions Blowing-Up Nonstandard Analysis
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.
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