An Application of Conley Index Techniques to a Model of Bursting in Excitable Membranes

An Application of Conley Index Techniques to a Model of Bursting in Excitable Membranes
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康利指数技术在可兴奋膜破裂模型中的应用

DOI：
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发表时间：
2000
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通讯作者：
W. M. Kinney
W. M. Kinney
中科院分区：
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文献类型：
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作者：
W. M. Kinney

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摘要提出了胰腺β细胞爆发活动模型的假设，并构造了该模型中吸引子的邻域。利用Conley指数结果和技术给出了奇异隔离邻域隔离非空吸引子的充分条件。最后，将该定理应用于爆破模型。
Abstract Assumptions about a model of bursting activity in pancreatic β -cells are stated and a neighborhood of the attractor in this model is constructed. Conley index results and techniques are used to give a sufficient condition for a singular isolating neighborhood to isolate a nonempty attractor. Finally, this theorem is applied to the bursting model.