• Corpus ID: 248572520

Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems

  title={Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems},
  author={Benjamin Ambrosio and M. A. Aziz-Alaoui and Argha Mondal and Arnab Mondal and Sanjeev Kumar Sharma and Ranjit Kumar Upadhyay},
In this article, we discuss the dynamics of the 3-dimensional FitzHugh-Rinzel (FHR) model and a class of non-homogeneous FitzHugh-Nagumo (Nh-FHN) Reaction-Diffusion systems. The Nh-FHN models can be used to generate relevant wave-propagation phenomena in Neuroscience context. This gives raise locally to complex dynamics such as canards, Mixed-Mode Oscillations, Hopf-Bifurcations some of which can be observed in the FHR model. 

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