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| View Original: | Baker's transformation trajectory in phase plane.png (718x692) | |||
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| Keywords: Baker's transformation trajectory in phase plane.png en An example showing the trajectory of Baker's transformation and sensitivity to initial conditions of chaos The following difference equations map are used <math> x_ n+1 \ y_ n+1 \begin cases 2 x_n \ 0 5 y_n 0 \le x_n \le 0 5 \\ 2 x_n - 1 \ 0 5 y_n + 0 5 0 5 < x_n \le 1 \end cases </math> where x is the horizontal axis of this figure and y is the vertical axis The figure shows 20 times iteration n is from 0 to 20 The initial coordinate x<sub>0</sub> y<sub>0</sub> of the blue trajectory is 0 2 + 10<sup>-5</sup> 0 2 + 10<sup>-5</sup> and that of the orange trajectory is 0 2 - 10<sup>-5</sup> 0 2 - 10<sup>-5</sup> 2015-05-03 own Yapparina other versions cc-zero Uploaded with UploadWizard Baker's transformation | ||||
