作者
Argha Mondal, Chittaranjan Hens, Arnab Mondal, Chris G Antonopoulos
发表日期
2021/11/1
期刊
Chaos, Solitons & Fractals
卷号
152
页码范围
111375
出版商
Pergamon
简介
Neurons are often connected, spatially and temporally, in phenomenal ways that promote wave propagation. Therefore, it is essential to analyze the emergent spatiotemporal patterns to understand the working mechanism of brain activity, especially in cortical areas. Here, we present an explicit mathematical analysis, corroborated by numerical results, to identify and investigate the spatiotemporal, non-uniform, patterns that emerge due to instability in an extended homogeneous 2D spatial domain, using the excitable Izhikevich neuron model. We examine diffusive instability and perform bifurcation and fixed-point analyses to characterize the patterns and their stability. Then, we derive analytically the amplitude equations that establish the activities of reaction-diffusion structures. We report on the emergence of diverse spatial structures including hexagonal and mixed-type patterns by providing a systematic …
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A Mondal, C Hens, A Mondal, CG Antonopoulos - Chaos, Solitons & Fractals, 2021