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- Q848427 subject Q8266666.
- Q848427 subject Q8405587.
- Q848427 subject Q8470823.
- Q848427 subject Q8591050.
- Q848427 abstract "In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets (Julia 'laces' and Fatou 'dusts') defined from a function. Informally, the Fatou set of the function consists of values with the property that all nearby values behave similarly under repeated iteration of the function, and the Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.Thus the behavior of the function on the Fatou set is 'regular', while on the Julia set its behavior is 'chaotic'.The Julia set of a function f is commonly denoted J(f), and the Fatou set is denoted F(f). These sets are named after the French mathematicians Gaston Julia and Pierre Fatou whose work began the study of complex dynamics during the early 20th century.".
- Q848427 thumbnail Julia_set_(ice).png?width=300.
- Q848427 wikiPageExternalLink explorer.html.
- Q848427 wikiPageExternalLink index.html.
- Q848427 wikiPageExternalLink julia.html.
- Q848427 wikiPageExternalLink Contents.htm.
- Q848427 wikiPageExternalLink ifs-tools.sourceforge.net.
- Q848427 wikiPageExternalLink juliamap.googlelabs.com.
- Q848427 wikiPageExternalLink juliaset.
- Q848427 wikiPageExternalLink essay-backtrack-julia-sets.html.
- Q848427 wikiPageExternalLink juliajewels.html.
- Q848427 wikiPageExternalLink 9201272.
- Q848427 wikiPageExternalLink JuliaIndexing.shtml.
- Q848427 wikiPageExternalLink weaver.php?topic=fractals.
- Q848427 wikiPageExternalLink fractal-generator.
- Q848427 wikiPageExternalLink uk1996ck.shtml.
- Q848427 wikiPageExternalLink preprints.html.
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- Q848427 wikiPageWikiLink Q8266666.
- Q848427 wikiPageWikiLink Q8405587.
- Q848427 wikiPageWikiLink Q8470823.
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- Q848427 wikiPageWikiLink Q8591050.
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- Q848427 comment "In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets (Julia 'laces' and Fatou 'dusts') defined from a function.".
- Q848427 label "Julia set".
- Q848427 depiction Julia_set_(ice).png.