Analysis of Spatially Extended Excitable Izhikevich Neuron Model near Instability Arnab Mondal Indian Institute of Technology (Indian School of Mines): Indian Institute of Technology Argha Mondal University of Essex S. Sharma Indian Institute of Technology (Indian School of Mines): Indian Institute of Technology Ranjit Kumar Upadhyay (  ranjit.chaos@gmail.com ) Indian Institute of Technology (Indian School of Mines): Indian Institute of Technology https://orcid.org/0000-0002-1210-7804 Research Article Keywords: Izhikevich model, ｦring activity, bifurcation scenarios, amplitude equations, diffusive instabilities Posted Date: May 17th, 2021 DOI: https://doi.org/10.21203/rs.3.rs-410280/v1 License:   This work is licensed under a Creative Commons Attribution 4.0 International License. Read Full License Version of Record: A version of this preprint was published at Nonlinear Dynamics on August 11th, 2021. See the published version at https://doi.org/10.1007/s11071-021-06787-4.