Emergence of Turing patterns and dynamic visualization in excitable neuron model
作者：
Highlights：
• The article focuses on the temporal and spatiotemporal dynamics of Hindmarsh–Rose (H-R) model.
• Fixed point and bifurcation analysis presented for deterministic H-R model.
• We also study Turing instability, Turing bifurcation and Hopf bifurcation for spatiotemporal model.
• We explore Pattern formation in the Turing and Hopf–Turing regions.
• We describe amplitude equations and study its stability analysis to validate numerical simulation results of Pattern formation.
摘要
•The article focuses on the temporal and spatiotemporal dynamics of Hindmarsh–Rose (H-R) model.•Fixed point and bifurcation analysis presented for deterministic H-R model.•We also study Turing instability, Turing bifurcation and Hopf bifurcation for spatiotemporal model.•We explore Pattern formation in the Turing and Hopf–Turing regions.•We describe amplitude equations and study its stability analysis to validate numerical simulation results of Pattern formation.
论文关键词：2D Hindmarsh–Rose model,Reaction-diffusion system,Amplitude equations,Stability,Structural patterns
论文评审过程：Received 27 December 2021, Revised 3 February 2022, Accepted 4 February 2022, Available online 15 February 2022, Version of Record 15 February 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127010
