Title :
Single neuron chaos
Author :
Szu, Harold ; Rogers, George
Author_Institution :
NSWC, White Oak, MD, USA
Abstract :
Single neuron dynamics can be mathematically modeled to include chaotic dynamics. On the basis of the model of W.S. McCullouch and W. Pitts (1943), it is shown that the output-input slope is closely related to the standard quadratic map of Feigenbaum. A nonlinear mapping of the threshold function consisting of two degrees of dynamic freedom is adopted to accommodate the refractory and replenishment periods of an axon hillock. By including a third degree of freedom that obeys the quadratic map of Feigenbaum and functions as an internal source term, the final neuron output can produce pulses with a deterministic chaos that depends on the input level
Keywords :
cellular biophysics; chaos; neural nets; neurophysiology; physiological models; axon hillock; chaotic dynamics; neuron dynamics; output-input slope; quadratic map; refractory period; replenishment periods; single neuron chaos; threshold function; Biological neural networks; Biological system modeling; Chaos; Chaotic communication; Logic; Mathematical model; Nerve fibers; Neurons; Pattern recognition; Very large scale integration;
Conference_Titel :
Neural Networks, 1992. IJCNN., International Joint Conference on
Conference_Location :
Baltimore, MD
Print_ISBN :
0-7803-0559-0
DOI :
10.1109/IJCNN.1992.227192
