Title :
Tristability in Model Neurons
Author :
Wang, Guanghong ; Jiang, Ping
Author_Institution :
Department of Information and Control Engineering, Tongji University, Shanghai 200092, China. phone: 86-21-65983303; fax: 86-21-65983303; email: ghwangtj@hotmail.com
Abstract :
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.
Keywords :
Bridges; Chemistry; Headphones; Mathematical model; Nervous system; Neurons; Physics; Radio broadcasting; Switches; Visual system;
Conference_Titel :
Neural Networks, 2006. IJCNN '06. International Joint Conference on
Print_ISBN :
0-7803-9490-9
DOI :
10.1109/IJCNN.2006.246922