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 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. | |
== Techniques == | == Techniques == | ||
| Line 37: | Line 37: | ||
* [[Complex quadratic polynomial]] | * [[Complex quadratic polynomial]] | ||
* [[Differentiable dynamics]] | * [[Differentiable dynamics]] | ||
| − | * [[Dynamical | + | * [[Dynamical systems]] |
* [[Fatou set]] | * [[Fatou set]] | ||
* [[Holomorphic function]] | * [[Holomorphic function]] | ||
| + | * [[John H. Hubbard]] | ||
* [[Infinite compositions of analytic functions]] | * [[Infinite compositions of analytic functions]] | ||
* [[Iterated function]] | * [[Iterated function]] | ||
| Line 45: | Line 46: | ||
* [[Mandelbrot set]] | * [[Mandelbrot set]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
| − | * [[John Milnor | + | * [[John Milnor]] |
== External links == | == External links == | ||
* [https://en.wikipedia.org/wiki/Complex_dynamics Complex dynamics] @ Wikipedia | * [https://en.wikipedia.org/wiki/Complex_dynamics Complex dynamics] @ Wikipedia | ||
| + | |||
| + | [[Category:Mathematics]] | ||
Latest revision as of 18:41, 21 April 2016
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.
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 systems
- Fatou set
- Holomorphic function
- John H. Hubbard
- Infinite compositions of analytic functions
- Iterated function
- Julia set
- Mandelbrot set
- Mathematics
- John Milnor
External links
- Complex dynamics @ Wikipedia
