Concepedia

Mandelbrot Relationship

The Mandelbrot Relationship is a mathematical construct that specifies the iterative functional dependence between complex numbers in the quadratic recurrence relation \( z_{n+1} = z_n^2 + c \), distinguishing it as the foundational generating mechanism of the Mandelbrot set within fractal geometry.

32

Publications

3.8K

Citations

56

Authors

35

Institutions

Publications per year

2017–2026

1

Parents

Publications

32

<i>Fractals: Form, Chance, and Dimension</i>

B. B. Mandelbrot, Michael Aizenman · Physics Today · 1979 · 2.2K citations

, , +8

Mandelbrot and the Stable Paretian Hypothesis

Eugene F. Fama · The Journal of Business · 1963 · 837 citations

, , +2

Julia sets and Mandelbrot sets in Noor orbit

Ashish Ashish, Mamta Rani, Renu Chugh · Applied Mathematics and Computation · 2014 · 86 citations

, , +8

Fractal control boundaries of driven oscillators and their relevance to safe engineering design

J. M. T. Thompson, Mohamed S. Soliman · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1990 · 81 citations

, , +17

Physical meaning for Mandelbrot and Julia sets

Christian Beck · Physica D Nonlinear Phenomena · 1999 · 73 citations

, , +4

1–5 of 32

Authors

56

  1. GP
    G. Pastor

    Consejo Superior de Investigaciones Científicas, Spain

    2 publications · 29 citations

    2

    h-index

  2. WL
    William Latham

    Goldsmiths University of London, United Kingdom

    2 publications · 28 citations

    2

    h-index

  3. MR
    M. Romera

    Consejo Superior de Investigaciones Científicas, Spain

    2 publications · 29 citations

    2

    h-index

  4. FF
    Frédéric Fol Leymarie

    Goldsmiths University of London, United Kingdom

    2 publications · 28 citations

    2

    h-index

  5. FM
    F. Montoya

    Instituto de Física Fundamental, Spain

    2 publications · 29 citations

    2

    h-index

1–5 of 56

Institutions

35

  1. Consejo Superior de Investigaciones Científicas

    Madrid, Spain

    2 h-index

    8 publications

    116 citations

  2. Institute for Theoretical and Experimental Physics

    Moscow, Russia

    1 h-index

    1 publications

    12 citations

  3. Dalian University

    Dalian, China

    1 h-index

    4 publications

    112 citations

  4. Dalian University of Technology

    Dalian, China

    1 h-index

    4 publications

    112 citations

  5. Loyola University Chicago

    Chicago, United States

    1 h-index

    1 publications

    58 citations

  6. Lawrence University

    Appleton, United States

    1 h-index

    1 publications

    26 citations

  7. California State Polytechnic University

    Pomona, United States

    1 h-index

    1 publications

    26 citations

  8. University of London

    London, United Kingdom

    1 h-index

    3 publications

    45 citations

1–8 of 35

Venues

  1. Chaos Solitons & Fractals

    2 publications · 60 citations

    2

    h-index

  2. Computers & Graphics

    2 publications · 29 citations

    2

    h-index

  3. Nonlinear Dynamics

    2 publications · 33 citations

    2

    h-index

  4. Physica D Nonlinear Phenomena

    2 publications · 131 citations

    2

    h-index

  5. Soft Computing

    1 publications · 56 citations

    1

    h-index

1–5