TITLE:
On the Two Methods for Finding 4-Dimensional Duck Solutions
AUTHORS:
Kiyoyuki Tchizawa
KEYWORDS:
Slow-Fast System; Singular Perturbation; Duck Solutions; Blowing-Up; Nonstandard Analysis
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
January
2,
2014
ABSTRACT: 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.