Concepedia

Complex Quadratic Dynamics

Complex Quadratic Dynamics is a mathematical framework within dynamical systems theory that studies the iterative behavior of quadratic polynomials in the complex plane, distinguished by its focus on the global structure and bifurcations of orbits under repeated application of holomorphic mappings.

39

Publications

1.4K

Citations

71

Authors

51

Institutions

Publications per year

2017–2026

5

Parents

Publications

39

Geometry and Dynamics of Quadratic Rational Maps

John Milnor, Milnor, Lei Tan · Experimental Mathematics · 1993 · 301 citations

, , +14

Drawing Dynamical and Parameters Planes of Iterative Families and Methods

Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa · The Scientific World JOURNAL · 2013 · 180 citations · Full text

, , +12

Topics from one-dimensional dynamics

Choice Reviews Online · 2005 · 101 citations

, , +16

On constructing complex grid multi‐wing hyperchaotic system: Theoretical design and circuit implementation

Chaoxia Zhang, Simin Yu · International Journal of Circuit Theory and Applications · 2010 · 61 citations

, , +11

Non-chaotic behaviour in three-dimensional quadratic systems

Zhang Fu, Jack Heidel · Nonlinearity · 1997 · 61 citations

, , +12

1–5 of 39

Authors

71

  1. BB
    Bruce B. Peckham

    University of Minnesota, Duluth, United States

    2 publications · 39 citations

    2

    h-index

  2. AZ
    Alexei Zhedanov

    Donetsk Institute for Physics and Engineering named after O.O. Galkin, Ukraine

    2 publications · 96 citations

    2

    h-index

  3. YG
    Ya.I. Granovskii

    Vasyl' Stus Donetsk National University, Ukraine

    2 publications · 96 citations

    2

    h-index

  4. IM
    I. M. Lutsenko

    2 publications · 96 citations

    2

    h-index

  5. ZF
    Zhang Fu

    Chalmers University of Technology, Sweden

    2 publications · 71 citations

    2

    h-index

1–5 of 71

Institutions

51

  1. University of Minnesota, Duluth

    Duluth, United States

    2 h-index

    2 publications

    39 citations

  2. Boston University

    Boston, United States

    2 h-index

    3 publications

    61 citations

  3. University of Coimbra

    Coimbra, Portugal

    1 h-index

    1 publications

    13 citations

  4. TU Wien

    Vienna, Austria

    1 h-index

    3 publications

    36 citations

  5. Xijing University

    Xi'an, China

    1 h-index

    1 publications

    19 citations

  6. University of Haifa

    Haifa, Israel

    1 h-index

    1 publications

    11 citations

  7. Pontificia Universidad Católica de Chile

    Santiago, Chile

    1 h-index

    1 publications

    25 citations

  8. University of London

    London, United Kingdom

    1 h-index

    1 publications

    33 citations

1–8 of 51

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 8 publications · 146 citations

    8

    h-index

  2. Nonlinearity

    5 publications · 149 citations

    5

    h-index

  3. Theoretical and Mathematical Physics

    2 publications · 96 citations

    2

    h-index

  4. European Journal of Operational Research

    1 publications · 12 citations

    1

    h-index

  5. Israel Journal of Mathematics

    1 publications · 25 citations

    1

    h-index

1–5