The bifurcating neuron network 1
Neural Networks
The bifurcating neuron network 2: an analog associative memory
Neural Networks
Complex-valued multistate neural associative memory
IEEE Transactions on Neural Networks
Energy function-based approaches to graph coloring
IEEE Transactions on Neural Networks
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The Bifurcating Neuron (BN) is an integrate-and-fire neuron that exhibits crisis-mediated transitions between multiple, symmetrical chaotic attractors. The Bifurcating Neuron Network 3 (BNN-3), a class of BN networks, was reported to be a natural model for solving coloring problems due to the multi-stability of BN. An important question left behind unanswered by the preliminary report was the scalability of BNN-3 as a coloring problem solver. Another question was the possibility of BNN-3 playing an N-ary associative memory as other multi-state neuron network models do. We carried out an extended study and were able to reach positive conclusions for both questions.