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Chaotic itinerancy as a mechanism of irregular changes between synchronization and desynchronization in a neural network.
We investigate the dynamic character of a network of electrotonically coupled cells consisting of class I point neurons, in terms of a finite dimensional dynamical system. We classify a subclass ofExpand
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Transitory behaviors in diffusively coupled nonlinear oscillators
We study collective behaviors of diffusively coupled oscillators which exhibit out-of-phase synchrony for the case of weakly interacting two oscillators. In large populations of such oscillatorsExpand
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Mathematical modeling for evolution of heterogeneous modules in the brain
Modular architecture has been found in most cortical areas of mammalian brains, but little is known about its evolutionary origin. It has been proposed by several researchers that maximizingExpand
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Spatial clustering property and its self-similarity in membrane potentials of hippocampal CA1 pyramidal neurons for a spatio-temporal input sequence
To clarify how the information of spatiotemporal sequence of the hippocampal CA3 affects the postsynaptic membrane potentials of single pyramidal cells in the hippocampal CA1, the spatio-temporalExpand
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Transitory memory retrieval in a biologically plausible neural network model
A number of memory models have been proposed. These all have the basic structure that excitatory neurons are reciprocally connected by recurrent connections together with the connections withExpand
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A mathematical model for Cantor coding in the hippocampus
Recent studies suggest that the hippocampus is crucial for memory of sequentially organized information. Cantor coding in hippocampal CA1 is theoretically hypothesized to provide a scheme forExpand
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Iterated function systems in the hippocampal CA1
How does the information of spatiotemporal sequence stemming from the hippocampal CA3 area affect the postsynaptic membrane potentials of the hippocampal CA1 neurons? In a recent study, we observedExpand
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Modeling the Genesis of Components in the Networks of Interacting Units
From the viewpoint of system development, we investigate how components emerge in a network system consisting of interacting units. We propose two mathematical models with ‘variational’ principles:Expand
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Self-Organization with Constraints - A Mathematical Model for Functional Differentiation
This study proposes mathematical models for functional differentiations that are viewed as self-organization with external constraints. From the viewpoint of system development, the present studyExpand
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Information flow in heterogeneously interacting systems
Motivated by studies on the dynamics of heterogeneously interacting systems in neocortical neural networks, we studied heterogeneously-coupled chaotic systems. We used information-theoretic measuresExpand
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