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Volumn 36, Issue 2, 2008, Pages 237-245

Midgets of superior Mandelbrot set

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; POLYNOMIAL APPROXIMATION; SOLITONS;

EID: 35348930530     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.06.059     Document Type: Article
Times cited : (27)

References (16)
  • 1
    • 35348971044 scopus 로고    scopus 로고
    • Berinde, Vasile: Iterative approximation of fixed points, Editura Efemeride, Baia Mare, 2002.
  • 2
    • 21344437237 scopus 로고
    • The fractal geometry of the Mandelbrot set. 2. How to count and how to add. Symposium in Honor of Benoit Mandelbrot (Curaao, 1995)
    • MR1410283 (99d:58095).
    • Devaney R.L. The fractal geometry of the Mandelbrot set. 2. How to count and how to add. Symposium in Honor of Benoit Mandelbrot (Curaao, 1995). Fractals 3 4 (1995) 629-640 MR1410283 (99d:58095).
    • (1995) Fractals , vol.3 , Issue.4 , pp. 629-640
    • Devaney, R.L.1
  • 3
    • 35349007612 scopus 로고    scopus 로고
    • The fractal geometry of the Mandelbrot Set: I. Periods of the bulbs
    • Fractals, graphics, and mathematics education
    • Devaney R.L. The fractal geometry of the Mandelbrot Set: I. Periods of the bulbs. Fractals, graphics, and mathematics education. MAA Notes 58 (2002) 61-68
    • (2002) MAA Notes , vol.58 , pp. 61-68
    • Devaney, R.L.1
  • 4
    • 0033247640 scopus 로고    scopus 로고
    • The Mandelbrot set, the Farey tree, and the Fibonacci sequence
    • MR1682393 (2000b:37043).
    • Devaney R.L. The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Amer Math Monthly 106 4 (1999) 289-302 MR1682393 (2000b:37043).
    • (1999) Amer Math Monthly , vol.106 , Issue.4 , pp. 289-302
    • Devaney, R.L.1
  • 5
    • 0036339857 scopus 로고    scopus 로고
    • Moreno: geometry of the antennas in the Mandelbrot set
    • MR1894901 (2003h:37073)
    • Devaney R.L., and Rocha M. Moreno: geometry of the antennas in the Mandelbrot set. Fractals 10 1 (2002) 39-46 MR1894901 (2003h:37073)
    • (2002) Fractals , vol.10 , Issue.1 , pp. 39-46
    • Devaney, R.L.1    Rocha, M.2
  • 6
    • 0041537794 scopus 로고    scopus 로고
    • The Fibonacci partition on the connectedness locus and the Farey sequence
    • MR1392766 (97g:58140).
    • Fujimoto Y. The Fibonacci partition on the connectedness locus and the Farey sequence. Chaos, Solitons & Fractals 7 4 (1996) 555-564 MR1392766 (97g:58140).
    • (1996) Chaos, Solitons & Fractals , vol.7 , Issue.4 , pp. 555-564
    • Fujimoto, Y.1
  • 7
    • 0007452078 scopus 로고    scopus 로고
    • Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
    • MR1674407 (2000a:47118).
    • Huang Z. Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings. Comput Math Appl 37 3 (1999) 1-7 MR1674407 (2000a:47118).
    • (1999) Comput Math Appl , vol.37 , Issue.3 , pp. 1-7
    • Huang, Z.1
  • 8
    • 35349011224 scopus 로고    scopus 로고
    • Kauko, Virpi: Visible and nonexistent trees of Mandelbrot sets. Dissertation, University of Jyväskylä, Jyväskylä, 2003. Report. University of Jyväskylä, Department of Mathematics and Statistics, 86. University of Jyväskylä, Jyväskylä, 2003. 26pp. MR1957511 (2003j:37073).
  • 9
    • 84985456201 scopus 로고
    • The fractal aspects of the iteration of z → λz(1 - z) for complex λ and z
    • Mandelbrot B.B. The fractal aspects of the iteration of z → λz(1 - z) for complex λ and z. Ann NY Acad Sci 357 (1980) 249-259
    • (1980) Ann NY Acad Sci , vol.357 , pp. 249-259
    • Mandelbrot, B.B.1
  • 10
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • MR0054846 (14,988f).
    • Mann W.R. Mean value methods in iteration. Proc Amer Math Soc 4 (1953) 506-510 MR0054846 (14,988f).
    • (1953) Proc Amer Math Soc , vol.4 , pp. 506-510
    • Mann, W.R.1
  • 11
    • 0028399846 scopus 로고
    • Wrapped midgets in the Mandelbrot set
    • Philip A.G.D. Wrapped midgets in the Mandelbrot set. Comput Graphics 18 2 (1994) 239-248
    • (1994) Comput Graphics , vol.18 , Issue.2 , pp. 239-248
    • Philip, A.G.D.1
  • 12
    • 35348998612 scopus 로고    scopus 로고
    • Rani M. Iterative procedures in fractal and chaos. PhD thesis, Department of Computer Science, Gurukula Kangri Vishwavidyalaya, Hardwar, 2002.
  • 15
    • 0001578522 scopus 로고
    • Comments on two fixed point iteration methods
    • MR0430880 (55 #3885)
    • Rhoades B.E. Comments on two fixed point iteration methods. J Math Anal Appl 56 (1976) 741-750 MR0430880 (55 #3885)
    • (1976) J Math Anal Appl , vol.56 , pp. 741-750
    • Rhoades, B.E.1
  • 16
    • 0042187823 scopus 로고    scopus 로고
    • On the cusp and the tip of a midget in the Mandelbrot set antenna
    • MR1409563 (97d:58073)
    • Romera M., Pastor G., and Montoya F. On the cusp and the tip of a midget in the Mandelbrot set antenna. Phys Lett A 221 3-4 (1996) 158-162 MR1409563 (97d:58073)
    • (1996) Phys Lett A , vol.221 , Issue.3-4 , pp. 158-162
    • Romera, M.1    Pastor, G.2    Montoya, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.