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Meng, L., Li, X. and Zhang, G. (2017) Simple Diffusion Can Support the Pitchfork, the Flip Bifurcations, and the Chaos. Communications in Nonlinear Science and Numerical Simulation, 53, 202-212.
https://doi.org/10.1016/j.cnsns.2017.04.025

has been cited by the following article:

• TITLE: The Dynamical Properties of a Class of Discrete Smith Diffusion Model

  AUTHORS: Yu-Ming Yan, Min-Hong Yang, Ying Lin, Lu-Di Chen, Xiao-Liang Zhou

  KEYWORDS: Hyperbolicfixed Point, Non-Hyperbolic Fixed Point, Central Manifold Theorem, Bifurcation

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.13 No.1, March 31, 2024

  ABSTRACT: In this paper, the dynamical properties of Smith type diffusion model with Dirichlet boundary conditions are studied. The properties of hyperbolic fixed points and non-hyperbolic fixed points of the model are analyzed. By using the central manifold theorem, the bifurcation phenomenon of the model is studied. The results show that flip, transcritical, pitchfork and Fold-flip bifurcations exist at non-hyperbolic fixed points.