The 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 BNs, was shown to be an associative memory that is robust against spurious minima problems. It was noted that the BN can in fact have multi-stability, which would make the BN a chaotic, multi-state, integrate-and-fire model neuron. This paper 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.