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Volumn 20, Issue 2, 1996, Pages 333-339

Graphic tools to analyse one-dimensional quadratic maps

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS;

EID: 0030100918     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/0097-8493(95)00134-4     Document Type: Article
Times cited : (15)

References (20)
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    • Poincaré, H.1
  • 2
    • 34250451946 scopus 로고
    • On the nature of turbulence
    • D. Ruelle and F. Takens, On the nature of turbulence. Commun. Math. Phys. 20, 167-192 (1971).
    • (1971) Commun. Math. Phys. , vol.20 , pp. 167-192
    • Ruelle, D.1    Takens, F.2
  • 3
    • 0000948450 scopus 로고
    • Phenomenology of spatio-temporal chaos
    • Hao-bai-lin (Ed.), World-Scientific, Singapore
    • J. P. Crutchfield and K. Kaneko, Phenomenology of spatio-temporal chaos. In Directions in Chaos, Vol. I, Hao-bai-lin (Ed.), World-Scientific, Singapore (1987).
    • (1987) Directions in Chaos , vol.1
    • Crutchfield, J.P.1    Kaneko, K.2
  • 6
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. M. May, Simple mathematical models with very complicated dynamics, Nature 261, 459-467 (1976).
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.M.1
  • 8
    • 0004091497 scopus 로고
    • Turbulence and predictability of geophysical flows and climate dynamics
    • Course LXXXVIII, Varenna 9083, North Holland, New York
    • M. Ghil, R. Benzi, and G. Parisi (Eds.), Turbulence and Predictability of Geophysical Flows and Climate Dynamics, Proceedings of the International School of Physics "Enrico Fermi", Course LXXXVIII, Varenna 9083, North Holland, New York (1985).
    • (1985) Proceedings of the International School of Physics "Enrico Fermi"
    • Ghil, M.1    Benzi, R.2    Parisi, G.3
  • 9
    • 0021458814 scopus 로고
    • Plants, fractals and formal languages
    • A. R. Smith, Plants, fractals and formal languages. Computers & Graphics 18, 1-10 (1984).
    • (1984) Computers & Graphics , vol.18 , pp. 1-10
    • Smith, A.R.1
  • 10
    • 0015858113 scopus 로고
    • On finite limit sets for transformations on the unit interval
    • N. Metropolis, M. L. Stein, and P. R. Stein, On finite limit sets for transformations on the unit interval. J. Combinatorial Theory 15, 25-44 (1973).
    • (1973) J. Combinatorial Theory , vol.15 , pp. 25-44
    • Metropolis, N.1    Stein, M.L.2    Stein, P.R.3
  • 11
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • J. Milnor and W. Thurston, On iterated maps of the interval. Lect. Notes Math. 1342, 465-563 (1988).
    • (1988) Lect. Notes Math. , vol.1342 , pp. 465-563
    • Milnor, J.1    Thurston, W.2
  • 12
    • 84985456201 scopus 로고
    • Fractal aspects of the iteration of z→λz(1 - z) for complex λ and z
    • Nonlinear Dynamics, R. H. G. Helleman (Ed.)
    • B. B. Mandelbrot, Fractal aspects of the iteration of z→λz(1 - z) for complex λ and z. In Nonlinear Dynamics, R. H. G. Helleman (Ed.), Annals of the New York Academy of Sciences 357, 249-259 (1980).
    • (1980) Annals of the New York Academy of Sciences , vol.357 , pp. 249-259
    • Mandelbrot, B.B.1
  • 13
    • 0009582324 scopus 로고
    • 2 - μ for complex μ and z: The fractal structure of its M set, and scaling
    • 2 - μ for complex μ and z: the fractal structure of its M set, and scaling. Phisica 7D, 224-239 (1983).
    • (1983) Phisica , vol.7 D , pp. 224-239
    • Mandelbrot, B.B.1
  • 15
  • 16
    • 0042470923 scopus 로고
    • A graphic tool to determine the period of an antenna component of the Mandelbrot set
    • M. M. Novak (Ed.), Chapman & Hall, London
    • M. Romera, G. Pastor, J. Negrillo and F. Montoya, A graphic tool to determine the period of an antenna component of the Mandelbrot set. In Fractals in the Natural and Applied Sciences, M. M. Novak (Ed.), Chapman & Hall, London (1995).
    • (1995) Fractals in the Natural and Applied Sciences
    • Romera, M.1    Pastor, G.2    Negrillo, J.3    Montoya, F.4
  • 17
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    • Field lines in the mandelbrot set
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    • (1992) Computers & Graphics , vol.16 , pp. 443-447
    • Philip, K.W.1
  • 19
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    • A new scaling along the spike of the Mandelbrot set
    • M. Frame, A. G. D. Philip, and A. Robucci, A new scaling along the spike of the Mandelbrot set, Computers & Graphics 16, 223-234 (1992).
    • (1992) Computers & Graphics , vol.16 , pp. 223-234
    • Frame, M.1    Philip, A.G.D.2    Robucci, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.