LARGE-AMPLITUDE STATIONARY WAVES IN AN EXCITABLE LATERAL-INHIBITORY MEDIUM
LARGE-AMPLITUDE STATIONARY WAVES IN AN EXCITABLE LATERAL-INHIBITORY MEDIUM
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DOI：
10.1137/0144081
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发表时间：
1984-01-01
影响因子：
1.9
通讯作者：
TROY, WC
中科院分区：
文献类型：
--
作者：
ERMENTROUT, GB;HASTINGS, SP;TROY, WC
研究了同时表现出侧抑制和兴奋性的反应扩散方程组中图案的形成。所研究的系统来源于Fitzhugh-Nagumo神经传导模型。证明了孤立波解和周期驻波解的存在性。数值计算表明，其中一些波动作为偏微分方程解是稳定的。进一步论证表明，这些模式的产生是系统兴奋性的结果，而不是图灵机制的结果。
Pattern formation in a system of reaction-diffusion equations which exhibit both lateral inhibition and excitability is investigated. The system studied is derived from the FitzHugh–Nagumo nerve conduction model. The existence of solitary and periodic stationary wave solutions is proved. Numerical computations show that some of these waves are stable as solutions of the partial differential equations. Further, arguments are given which indicate that these patterns arise as a result of excitability of the system and not as a result of a Turing mechanism.