Bifurcating neuron network 3

Abstract

The Bifurcating Neuron(BN) is an integrate-and-fire model neuron that exhibits bistability and attractor-merging crisis. The Bifurcating Neuron Network 1, a network of such neurons, was shown to make a robust associative memory against spurious minima problems. It was noted that the BN could be naturally generalized to have multi-stability, which will make the BN a chaotic, multi-state, integrate-and-fire model neuron. This thesis is a report of our preliminary study on the tri-stability of the BN, the behaviors of interacting such BNs, and a design of a network of BNs that interact via "mutually-exclusive" coupling, thereby solving a 3-coloring problem.