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  Recurrence plots  Recurrence plot of   over the   ‐plane. Bifurcation-related plots Nestings of the map   starting with   as a function of  . The number of iterations increases from red (0) to blue (5). The value are logarithmically scaled. Nestings of the map   starting with   as a function of  . The initial iterations are ignored. Iterations and powers in the complex plane The real part and the imaginary part of the scaled value of   in the  . The left graphic shows the real part and the right graphic shows the imaginary part. The real part and the imaginary part of the scaled value of   in the  . The left graphic shows the real part and the right graphic shows the imaginary part. Lattice sums The real part and the imaginary part of the lattice sum   in the  . The left graphic shows the real part and the right graphic shows the imaginary part.  Fractals and Julia sets Mandelbrot set of the map   over the  . The coloring indicates the number of iterations before  .  Julia sets of the map   over the  .  
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