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Volumn 32, Issue 1, 2007, Pages 15-25

On periodic and chaotic regions in the Mandelbrot set

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; THEOREM PROVING; TIME VARYING SYSTEMS;

EID: 33748568821     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.10.099     Document Type: Article
Times cited : (12)

References (16)
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    • Mandelbrot B.B. Fractal aspects of the iteration of z → λz(1 - z) for complex λ and z, in nonlinear dynamics. Ann New York Acad Sci 357 (1980) 249-259
    • (1980) Ann New York Acad Sci , vol.357 , pp. 249-259
    • Mandelbrot, B.B.1
  • 2
    • 0009582324 scopus 로고
    • On the quadratic mapping of z → λz( 1- z) for complex λ and z: the fractal structure of its M set, and scaling
    • Mandelbrot B.B. On the quadratic mapping of z → λz( 1- z) for complex λ and z: the fractal structure of its M set, and scaling. Physica D 7 (1983) 224-239
    • (1983) Physica D , vol.7 , pp. 224-239
    • Mandelbrot, B.B.1
  • 5
    • 33748556812 scopus 로고    scopus 로고
    • Douady A, Hubbard JH. Étude Dynamique des Polynômes Complexes. Publ Math d'Orsay 1984;84-02 and 1985;85-02.
  • 6
    • 0011549927 scopus 로고
    • Self-similarity and hairiness in the Mandelbrot set
    • Computers in geometry and topology, Dekker, New York pp. 211-257
    • Milnor J. Self-similarity and hairiness in the Mandelbrot set. Computers in geometry and topology. Lecture notes in pure and applied mathematics 114 (1989), Dekker, New York pp. 211-257
    • (1989) Lecture notes in pure and applied mathematics , vol.114
    • Milnor, J.1
  • 7
    • 0030260766 scopus 로고    scopus 로고
    • Misiurewicz points in one-dimensional quadratic maps
    • Romera M., Pastor G., and Montoya F. Misiurewicz points in one-dimensional quadratic maps. Physica A 232 (1996) 517-535
    • (1996) Physica A , vol.232 , pp. 517-535
    • Romera, M.1    Pastor, G.2    Montoya, F.3
  • 8
    • 0035280475 scopus 로고    scopus 로고
    • Misiurewicz point patterns generation in one-dimensional quadratic maps
    • Pastor G., Romera M., Alvarez G., and Montoya F. Misiurewicz point patterns generation in one-dimensional quadratic maps. Physica A 292 (2001) 207-230
    • (2001) Physica A , vol.292 , pp. 207-230
    • Pastor, G.1    Romera, M.2    Alvarez, G.3    Montoya, F.4
  • 10
    • 0038284973 scopus 로고    scopus 로고
    • An approach to the ordering of one-dimensional quadratic maps
    • Pastor G., Romera M., and Montoya F. An approach to the ordering of one-dimensional quadratic maps. Chaos, Solitons & Fractals 7 (1996) 565-584
    • (1996) Chaos, Solitons & Fractals , vol.7 , pp. 565-584
    • Pastor, G.1    Romera, M.2    Montoya, F.3
  • 11
    • 0037609608 scopus 로고    scopus 로고
    • Harmonic structure of 1D quadratic maps
    • Pastor G., Romera M., and Montoya F. Harmonic structure of 1D quadratic maps. Phys Rev E 56 (1997) 1476-1483
    • (1997) Phys Rev E , vol.56 , pp. 1476-1483
    • Pastor, G.1    Romera, M.2    Montoya, F.3
  • 12
    • 0036776649 scopus 로고    scopus 로고
    • Operating with external arguments in the Mandelbrot set antenna
    • Pastor G., Romera M., Alvarez G., and Montoya F. Operating with external arguments in the Mandelbrot set antenna. Physica D 171 (2002) 52-71
    • (2002) Physica D , vol.171 , pp. 52-71
    • Pastor, G.1    Romera, M.2    Alvarez, G.3    Montoya, F.4
  • 13
    • 21344437237 scopus 로고
    • The fractal geometry of the Mandelbrot set: II. How to add and how to count
    • Devaney R.L. The fractal geometry of the Mandelbrot set: II. How to add and how to count. Fractals 3 (1995) 629-640
    • (1995) Fractals , vol.3 , pp. 629-640
    • Devaney, R.L.1
  • 15
    • 18844367727 scopus 로고    scopus 로고
    • External arguments for the chaotic bands calculation in the Mandelbrot set
    • Pastor G., Romera M., Alvarez G., and Montoya F. External arguments for the chaotic bands calculation in the Mandelbrot set. Physica A 353 (2005) 145-158
    • (2005) Physica A , vol.353 , pp. 145-158
    • Pastor, G.1    Romera, M.2    Alvarez, G.3    Montoya, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.