Template Iterations of Quadratic Maps and Hybrid Mandelbrot Sets
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DOI: 10.1007/s00332-020-09675-0
Abstract: As a particular problem within the field of non-autonomous discrete systems, we consider iterations of two quadratic maps $$f_{c_0}=z^2+c_0$$ f c 0 = z 2 + c 0 and $$f_{c_1}=z^2+c_1$$ f c 1 = z… read more here.
Keywords: mandelbrot sets; template iterations; quadratic maps; iterations quadratic ... See more keywords
Fractals as Julia and Mandelbrot Sets of Complex Cosine Functions via Fixed Point Iterations
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DOI: 10.3390/sym15020478
Abstract: In this manuscript, we explore stunning fractals as Julia and Mandelbrot sets of complexvalued cosine functions by establishing the escape radii via a four-step iteration scheme extended with s-convexity. We furnish some illustrations to determine… read more here.
Keywords: julia mandelbrot; fixed point; mandelbrot sets; fractals julia ... See more keywords