Voltage interval mappings for an elliptic bursting model

Preprint English OPEN
Wojcik, Jeremy; Shilnikov, Andrey;
(2013)
  • Related identifiers: doi: 10.1016/j.physd.2011.04.003
  • Subject: Nonlinear Sciences - Chaotic Dynamics
    arxiv: Quantitative Biology::Neurons and Cognition | Nonlinear Sciences::Pattern Formation and Solitons | Astrophysics::High Energy Astrophysical Phenomena

We employed Poincar\'e return mappings for a parameter interval to an exemplary elliptic bursting model, the FitzHugh-Nagumo-Rinzel model. Using the interval mappings, we were able to examine in detail the bifurcations that underlie the complex activity transitions betw... View more
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