Analysis and measurement of limit cycles generated on neural networks with cyclic and longer distance connections

摘要

Analysis of the neural networks with antisymmetric and cyclic nearest connections is already reported. But the neural network with longer distance connections is not analyzed yet. In this paper, we confirm that the networks with longer distance connection generate the limit cycle similar to the nearest neighbor connections, and we study relations between limit cycle and the size of neural network, maximum distance of synapse connection. Additionally, we construct this network by means of LSI neural network chip that was designed in our laboratory and we observe the limit cycle of the LSI neural network chip.