Examples of results using the proposed method for a bit length of 10. The red line represents the period. (IMAGE)
Caption
Bernoulli shift maps are theoretically chaotic, but produces converging outputs when implemented in binary systems. While this can be avoided by perturbing the map’s state space, the parameter tuning for best perturbation has no theoretical basis. Now, researchers from Japan provide this theoretical support underlying the optimal parameter values. (a) If ε = 0 is implemented (no perturbation), the output converges to 0. (b) If the perturbation is not large enough (ε = 1/210), the output becomes periodic. (c) If ε is set to 5/210 using the proposed method in this study, the output does not converge.
Credit
Prof. Tohru Ikeguchi from TUS and Dr. Noriyoshi Sukegawa from University of Tsukuba, Japan.
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Cannot be reused without permission.
License
Original content