Bogdanov-Takens Bifurcation Analysis of a Learning-Process Model

被引：0

作者：

Zhu, Zhenliang ^{[1
]}

Guan, Yuxian ^{[2
,3
]}

机构：

[1] Minjiang Univ, Coll Math & Data Sci, Fuzhou 350108, Peoples R China

[2] Hainan Univ, HNU ASU Joint Int Tourism Coll, Haikou 570228, Peoples R China

[3] Southwest Jiaotong Univ, Sch Econ & Management, Chengdu 610031, Peoples R China

来源：

AXIOMS | 2023年 / 12卷 / 09期

关键词：

learning-process; cusp; universal unfolding; Bogdanov-Takens bifurcation; DOUBT;

D O I：

10.3390/axioms12090853

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, as a complement to the works by Monterio and Notargiacomo, we analyze the dynamical behavior of a learning-process model in a case where the system admits a unique interior degenerate equilibrium. Meanwhile, we acquire the sufficient condition for the cusp of codimension 2 and verify that the system undergoes Bogdanov-Takens bifurcation around the cusp. Finally, we give a numerical simulation to support the theoretical results.

引用

页数：11

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