Turing instability induced by random network in FitzHugh-Nagumo model

作者：

Highlights：

• The approximate range of eigenvalue of the network matrix is shown.

• The instability condition about diffusion and the connection probability in the network-organized system are derived.

• The estimated range of connection probability is also deduced.

• Mechanism of spiking of the neuron can be explained by using diffusion network and matrix theory.

摘要

•The approximate range of eigenvalue of the network matrix is shown.•The instability condition about diffusion and the connection probability in the network-organized system are derived.•The estimated range of connection probability is also deduced.•Mechanism of spiking of the neuron can be explained by using diffusion network and matrix theory.

论文关键词：Turing instability,Pattern formation,Random network,Connection probability

论文评审过程：Received 4 February 2020, Revised 4 April 2020, Accepted 12 April 2020, Available online 1 May 2020, Version of Record 1 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125304