Asymptotic analysis of continuous fuzzy flows

被引:1
|
作者
Cecconello, M. S. [1 ]
Leite, Jefferson [2 ]
Bassanezi, R. C. [3 ]
机构
[1] Univ Fed Mato Grosso, Cuiaba, Brazil
[2] Univ Fed Piaui, Teresina, Brazil
[3] Fed Univ ABC, Sao Paulo, Brazil
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2017年 / 36卷 / 04期
关键词
Fuzzy solutions; Periodic points; Equilibrium points; Dynamical systems; DIFFERENTIAL-EQUATIONS; STABILITY; SYSTEMS;
D O I
10.1007/s40314-016-0326-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we analyze the asymptotic behavior of fuzzy solutions using recent results on equilibrium and periodic points. We apply this analysis in some examples to investigate interesting properties of fuzzy solutions. As we show, the fuzzy solutions considered can present a more complex behavior than the deterministic ones. In addition, we show a new interpretation to the membership function of such fuzzy solutions as well as explore some properties of projections of fuzzy solutions. Computational simulations are done to illustrate these asymptotic behaviors.
引用
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页码:1681 / 1697
页数:17
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