TWO-DIMENSIONAL DYNAMICS OF CUBIC MAPS

被引：0
|
作者：
Djellit, I. [1 ]
Selmani, W. [1 ]
机构：
[1] Univ Badji Mokhtar, Lab Math Dynam & Modelizat, Annaba, Algeria
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 03期
关键词：
Bifurcation basins; attractors; manifolds; polynomial diffeomorphisms;
D O I：
10.46793/KgJMat2103.427D
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the global properties of two cubic maps on the plane, we try to explain the basic mechanisms of global bifurcations leading to the creation of nonconnected basins of attraction. It is shown that in some certain conditions the global structure of such systems can be simple. The main results here can be seen as an improvement of the results of stability and bifurcation analysis.
引用
收藏
页码：427 / 438
页数：12
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