On the Two Methods for Finding 4-Dimensional Duck Solutions  

作　　者：Kiyoyuki Tchizawa 

机构地区：[1]Institute of Administration Engineering, Ltd., Tokyo, Japan

出　　处：《Applied Mathematics》2014年第1期16-24,共9页应用数学（英文）

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.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.

关 键 词：Slow-Fast System SINGULAR Perturbation DUCK SOLUTIONS BLOWING-UP NONSTANDARD Analysis 

分 类 号：O1[理学—数学]