Difference between revisions of "Complex dynamics"
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'''Complex dynamics''' is the study of [[dynamical system]]s defined by [[Iterated function|iteration]] of functions on [[complex number]] spaces. '''Complex analytic dynamics''' is the study of the dynamics of specifically [[analytic function]]s. | '''Complex dynamics''' is the study of [[dynamical system]]s defined by [[Iterated function|iteration]] of functions on [[complex number]] spaces. '''Complex analytic dynamics''' is the study of the dynamics of specifically [[analytic function]]s. | ||
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== Techniques == | == Techniques == | ||
Revision as of 16:21, 12 September 2015
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.
(TO DO: expand, organize, cross-reference, illustrate.)
Contents
Techniques
- General
- Combinatorial
- Hubbard trees
- The Spider algorithm
- Tuning
- Laminations
- Devil's Staircase algorithm
- Orbit portraits
Parts
- Holomorphic dynamics ( dynamics of holomorphic functions )
- 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
- Analytic function
- Chaos theory
- Complex number
- Complex analytic dynamics
- Complex analysis
- Complex quadratic polynomial
- Differentiable dynamics
- Dynamical system
- Fatou set
- Holomorphic function
- Infinite compositions of analytic functions
- Iterated function
- Julia set
- Mandelbrot set
- Milnor, John
External links
- [Complex dynamics] @ Wikipedia
