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.

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