Sentence examples for by the logistic map from inspiring English sources

That is, the sequence generated by the logistic map is nonperiodic and nonconvergent.

The whole embedding procedure is depicted in Figure 3. Firstly, the message bits are shuffled by the logistic map whose input pair is selected by GA.

The Birkhoff's ergodic theorem (BET), bifurcation diagram (BD) and Lyapunov's exponent (LE) are used in order to design a chaotic noise generator that is governed by the logistic map (LM).

All the sequences generated by the logistic map are very sensitive to initial conditions, in the sense that two logistic sequences generated from different initial conditions are uncorrelated statistically.

This is illuminated by treating three classical examples: the logistic map, the Hdnon map and the Lorenz equation.

The important and distinctive features in the proposed method are to minimize the degradation of stego image by shuffling the secret message based on the logistic map and GA.

To show these concepts, the MOS Quadratic Translinear circuit proposed by Wiegerink in 1993 was selected and it is related with the logistic map and its properties.

By combining the P-Box with chaotic S-Box based on the logistic map, we design a complete, highly secure and fast cryptosystem.

Figure 6 Chaotic signal reconstructed by HM in [10]at SNR = 10 dB, the chaotic map is the Logistic map, the mean error of the reconstructed signal is 0.6841.

Figure 5 Chaotic signal reconstructed by the piecewise method at SNR = 10 dB, the chaotic map is the Logistic map, the mean error of the reconstructed signal is 0.0041.

The logistic map is a nonlinear transformation when r = 4.