Stabilization of metastable dynamical rotating waves in a ring of unidirectionally coupled nonmonotonic neurons

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• 作者：Yo Horikawa ^{horikawa@eng.kagawa-u.ac.jp}Author Vitae
• 关键词：Ring neural network ; Metastable dynamics ; Rotating wave ; Nonmonotonic output
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：225
• 期：Complete
• 页码：148-156
• 全文大小：1082 K
• 卷排序：225

文摘

Effects of nonmonotonicity in a sigmoidal output function of neurons on rotating waves in a ring of unidirectionally coupled neurons are studied. It is known that transient rotating waves show dynamical metastability when the output of neurons is monotonic; their duration increases exponentially with the number of neurons. Stable rotating waves of three types are generated as the nonmonotonicity in the output function of neurons increases. The type of stable rotating wave depends on whether the number of neurons is even or odd. Kinematical description for the propagation of wave fronts shows that an overshoot of the state of a neuron after the passage of the wave front due to the nonmonotonic output of a neuron causes the stabilization of rotating waves.