Dynamics and bifurcations of fuzzy nonlinear dynamical systems

被引：1
|
作者：
Mizukoshi, M. T. [1 ]
Cecconello, M. S. [2 ]
机构：
[1] IME UFG, Campus Samambaia,CP 131, BR-74690970 Goiania, Go, Brazil
[2] DMAT ICET UFMT, BR-78075202 Cuiaba, MT, Brazil
来源：
FUZZY SETS AND SYSTEMS | 2017年 / 319卷
关键词：
Bifurcation values; Zadeh extension principle; Asymptotic behavior; Topological equivalence; DIFFERENTIAL-EQUATIONS; STABILITY;
D O I：
10.1016/j.fss.2016.11.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This article presents a study on how changes in fuzzy parameters can affect the behavior of fuzzy solutions. Such fuzzy solutions are obtained by applying the Zadeh extension principle on deterministic solutions of autonomous differential equations. We define the concepts of topological equivalence and fuzzy bifurcation value for fuzzy flows. Using these notions, we prove some results for the existence of such bifurcation values. We also provide some examples and computational simulations to illustrate the results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：81 / 92
页数：12
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