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http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=137678
Integers neural network systems (INNS) using resonance propertiesof a Fibonacci's chaotic `golden neuron'
Perez, J.-C.
IBM, Montpellier;
This paper appears in: Neural Networks, 1990., 1990 IJCNN International Joint Conference on
Publication Date: 17-21 Jun 1990
On page(s): 859-865 vol.1
Meeting Date: 06/17/1990 - 06/21/1990
Location: San Diego, CA, USA
References Cited: 10
INSPEC Accession Number: 3926657
Digital Object Identifier: 10.1109/IJCNN.1990.137678
Posted online: 2002-08-06 17:16:55.0
Abstract
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 
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