Yukio Hayashi
Numerical Bifurcation Analysis of an Oscillatory Neural Network
with Synchronous/Asynchronous Connections
Abstract:One of the advantages of oscillatory neural networks is the dynamic link among features by input-dependent synchronization of oscillations.
We have discussed the relation between synchronous/asynchronous oscillation and the connection architectures of an oscillatory neural network with two pairs of excitatory-inhibitory cells. Through numerical analysis, we show synchronous and asynchronous connection types in a wide parameter area for two different inputs and one connection parameter.
The results are not only consistent with the classification of synchronous/asynchronous connection types in König's model (1991) in the sense of an equivalent self feedback, but also offer a useful guideline on how to construct a network with local connections for a segmentation task.