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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2675| Title: | On periodic and chaotic regions in the Mandelbrot set |
| Keywords: | Mandelbrot set Chaotic regions Periodic regions Nonlinear science Chaos |
| Publisher: | Elsevier |
| Description: | 11 pages, 5 figures.-- Available online Dec 20, 2005. We show here in a graphic and simple way the relation between the periodic and chaotic regions in the Mandelbrot set. Since the relation between the periodic and chaotic regions in a one-dimensional (1D) quadratic set is already well known, we shall base on it to extend the results to the Mandelbrot set. We shall see that in the same way as the hyperbolic components of the period-doubling cascade determines the chaotic bands structure in 1D quadratic sets, the periodic region determines the chaotic region in the Mandelbrot set. This work was supported by "Ministerio de Educación y Ciencia" of Spain, research grant SEG2004-02418. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2675 |
| Other Identifiers: | Chaos, Solitons & Fractals 32(1): 15-25 (2007) 0960-0779 http://hdl.handle.net/10261/2675 10.1016/j.chaos.2005.10.099 |
| Appears in Collections: | Digital Csic |
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