Complex dynamics

Complex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study of the dynamics of specifically analytic functions.



  • Holomorphic dynamics ( dynamics of holomorphic functions )[4]
    • in one complex variable
    • in several complex variables
  • Conformal dynamics unites holomorphic dynamics in one complex variable with differentiable dynamics in one real variable.

See also


  1. The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series) (No 274) by Tan Lei (Editor), Cambridge University Press, 2000
  2. Flek, R; Keen, L (July 13, 2009), "Boundaries of bounded Fatou components of quadratic maps" (PDF), Journal of Difference Equations and Applications, retrieved 2014-12-12
  3. John H. Hubbard and Dierk Schleicher (1991). "The Spider Algorithm" (PDF). Cite journal requires |journal= (help)
  4. Surveys in Dynamical systems available on-line at Dynamical Systems Homepage of Institute for Mathematical Sciences SUNY at Stony Brook


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