DOI: 10.3390/axioms12090853 ISSN:
Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model
Zhenliang Zhu, Yuxian Guan- Geometry and Topology
- Logic
- Mathematical Physics
- Algebra and Number Theory
- Analysis
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.