Tristability in Model Neurons

— The tristability that a class of two-dimensional neuron models may exhibit is investigated in this paper. One proposition and three corollaries on saddles, which play an important role in the dynamics of these models, are proposed and proved using the properties of the Poincare index. Two combinations with three stable states are attained numerically and analyzed geometrically based on INa,p+IK-model. They are used to interpret visual illusions, and their physiological potentialities and relationship with the short-term memory are discussed.

• Type: Conference
• Year: 2006
• Where: IJCNN
• Authors: Guang-Hong Wang, Ping Jiang
• Keywords: IJCNN 2006, Important Role, Poincare Index, Two-dimensional Neuron Models