Complex dynamics the study of dynamical systems for which the phase space is a complex manifold. Complex analytic dynamics specifies more precisely that it is analytic functions whose dynamics it is to study.
Contents |
Technics[1]
- general
- combinatorial [2]
- Hubbard trees
- The Spider algorithm
- tuning
- laminations
- devil's staircase algorithm
- orbit portraits
Parts
- Holomorphic dynamics ( dynamics of holomorphic functions )[3]
- in one complex variable
- in several complex variables
See also
- complex analysis
- Orbit portrait
- John Milnor
- Complex quadratic polynomial
- Fatou set
- Julia set
- Mandelbrot set
- Chaos Theory
References
- ^ The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series) (No 274) by Tan Lei (Editor), Cambridge University Press, 2000
- ^ Flek, Ross; Keen L (July 13, 2009). "Boundaries of Bounded Fatou Components of Quadratic Maps" (in eng). RESEARCH ARTICLE. pp. 1{18. http://comet.lehman.cuny.edu/keenl/FlekKeenJDEA.pdf. Retrieved 2009-09-07.
- ^ Surveys in Dynamical systems available on-line at Dynamical Systems Homepage of Institute for Mathematical Sciences SUNY at Stony Brook
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