Chaos and fractals from a forced artificial neural cell.
Chaos and fractal responses from an artificial neural cell stimulated by a periodic square wave are discussed. The dynamics are described by an autonomous equation, and the one-dimensional return map is derived explicitly. The relation between the exciting pulse-width tau(1), and the excited rate gamma(e) which is the number ratio of input pulses and output pulses investigated. Mathematical evidence for gamma(e) to be Cantor function for tau(1) is given. It corresponds to fractal responses. A condition for observable chaos generation in responses from the cell is proved. This condition is described only by parameters. Some of the theoretical results are verified by laboratory experiments.
Saito
T
T
Dept. of Electr. Eng., Hosei Univ., Tokyo.
Oikawa
M
M