"Multistability of Coupled Neuronal Nets with Multiple Synapses"
The human brain is a dynamical system containing an extraordinary large number of units of neurons with even larger number of interconnections among them. Multistability may well be ubiquitous phenomena in such complex dynamical systems. Meanwhile, from the stereotypical behaviors of the brain it is apparent that a certain state is preferentially selected which is specific to an associated brain function. Therefore, it would be important to understand the existence of multistability of the system and the mechanism for the preferential selection, both of which should depend on the system parameters. The phase model reduction is the wellknown method for analyzing behaviors of dynamical systems with a reduced degree of complexity of the original systems. In this work we revisit a coupled neuronal net with multiple synapses that has been previously suggested as a model for the hippocampal CA1 area and attempt the phase model analysis on the phenomena of multistability of the synchronized rhythms in the system. Especially, we focus our attention on the functional roles of different types of the synapses on the stability of the gamma and the beta rhythms in the coupled neuronal net model.