메뉴 건너뛰기




Volumn 40, Issue 1, 1998, Pages 102-109

Fractal basins of attraction associated with a damped Newton's method

Author keywords

Damping; Fractal basins of attraction; Newton's method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FRACTALS; POLYNOMIALS;

EID: 0032010848     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144596310033     Document Type: Article
Times cited : (46)

References (14)
  • 1
    • 0041145294 scopus 로고
    • The Newton-Fourier imaginary problem
    • A. CAYLEY, The Newton-Fourier imaginary problem, Amer. J. Math., 2 (1879), p. 97.
    • (1879) Amer. J. Math. , vol.2 , pp. 97
    • Cayley, A.1
  • 4
    • 34047261058 scopus 로고
    • Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors
    • H. S. GREENSIDE, A. WOLF, J. SWIFT, AND T. PIGNATARO, Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors, Phys. Rev. A, 25 (1982), pp. 3453-3456.
    • (1982) Phys. Rev. A , vol.25 , pp. 3453-3456
    • Greenside, H.S.1    Wolf, A.2    Swift, J.3    Pignataro, T.4
  • 9
    • 11544286077 scopus 로고
    • Analytical evaluation of the multifractal properties of a Newton Julia set
    • M. NAUENBERG AND H. J. SCHELLNHUBER, Analytical evaluation of the multifractal properties of a Newton Julia set, Phys. Rev. Lett., 62 (1989), pp. 1807-1810.
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1807-1810
    • Nauenberg, M.1    Schellnhuber, H.J.2
  • 10
    • 1442297962 scopus 로고    scopus 로고
    • Basins of attraction
    • H. E. NUSSE AND J. A. YORKE, Basins of attraction, Science, 272 (1996), pp. 1376-1380.
    • (1996) Science , vol.272 , pp. 1376-1380
    • Nusse, H.E.1    Yorke, J.A.2
  • 11
    • 33847573999 scopus 로고
    • The transition to chaotic attractors with riddled basins
    • E. OTT, J. C. ALEXANDER, I. KAN, J. C. SOMMERER, AND J. A. YORKE, The transition to chaotic attractors with riddled basins, Phys. D, 76 (1994), pp. 384-410.
    • (1994) Phys. D , vol.76 , pp. 384-410
    • Ott, E.1    Alexander, J.C.2    Kan, I.3    Sommerer, J.C.4    Yorke, J.A.5
  • 14
    • 79952612114 scopus 로고
    • On the Fractal Characteristics of a Stabilized Newton Method
    • Oxford University, Oxford, UK
    • M. DREXLER, I. SOBEY, AND C. BRACHER, On the Fractal Characteristics of a Stabilized Newton Method, Technical report NA 95/26, Oxford University, Oxford, UK, 1995.
    • (1995) Technical Report NA 95/26
    • Drexler, M.1    Sobey, I.2    Bracher, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.