Integers neural network systems (INNS) using resonance properties of a Fibonacci´s chaotic `golden neuron´

Original neural network research which results from the intersection of chaos theory and number theory is presented. The chaos theory background stems from the fractal chaos neural network model, and the number theory background stems from particular selective sensitivity emerging from neurons based on Fibonacci´s integer number settings. In fact, there is a mutual reinforcement between numerical holographic-like properties related to the fractal chaos network and to numbers deduced from the golden ratio. The dynamics of the fractal chaos model are limited to a subset of particular initial and control settings related to the golden ratio and Fibonacci´s integer numbers. An analysis is made of ultrasensitive and selective capabilities of Fibonacci´s neuron. This model anticipates potential perspectives in the neural networks field