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On Relative Stability in 4-Dimensional Duck Solution 被引量:1
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作者 Kiyoyuki Tchizawa 《Journal of Mathematics and System Science》 2012年第9期558-563,共6页
关键词 相对稳定性 鸭解 不变流形 局部模型 矢量场 吸引力 奇异点 系统
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On the Two Methods for Finding 4-Dimensional Duck Solutions
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作者 Kiyoyuki Tchizawa 《Applied Mathematics》 2014年第1期16-24,共9页
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 slo... 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. 展开更多
关键词 slow-fast System singular perturbation DUCK SOLUTIONS BLOWING-UP nonstandard analysis
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