Robust chaos generation by a perceptron

Details Robust chaos generation by a perceptron Robust chaos generation by a perceptron

2000-07-05

arxiv.org/abs/cond-mat/0007074v1

EuroPhysics Letters 51 (2), p. 230 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 5 figures (reduced quality), accepted for publication in EuroPhysics Letters

Scientific paper

10.1209/epl/i2000-00521-4

The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined. Analysis of the parameter space reveals the following main finding: a perceptron with a monotonic function can produce fragile chaos only whereas a non-monotonic function can generate robust chaos as well. For non-monotonic functions, the dimension of the attractor can be controlled monotonically by tuning a natural parameter in the model.

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