Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model-Reference-Cited by-同舟云学术

Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model

Published:2023-08-31 Issue:9 Volume:12 Page:853
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Zhu Zhenliang¹,Guan Yuxian²³

Affiliation:

1. College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China

2. HNU-ASU Joint International Tourism College, Hainan University, Haikou 570228, China

3. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China

Abstract

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.

Funder

Natural Science Foundation of Fujian Province

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/853/pdf

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