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Julia set — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Julia_set
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-31T08:47:12.630Z
SHA-256 of the archived text: bbf314810a3e4402d491cea8f10899975cf0949aad93eeacdc3209f066aadec9
Stable URL of this page: https://metraipolis.com/documento/dc_8cd472425107

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Julia set — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Julia_set (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_8cd472425107 (Metraipolis archive dc_8cd472425107, sha256 bbf314810a3e4402d491cea8f10899975cf0949aad93eeacdc3209f066aadec9)

BibTeX

@misc{dc8cd472425107,
  title = {Julia set — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Julia_set},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_8cd472425107; sha256 bbf314810a3e4402d491cea8f10899975cf0949aad93eeacdc3209f066aadec9},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Julia_set. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In complex dynamics, 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 ) , {\displaystyle \operatorname {J} (f),} and the Fatou set is denoted F ( f ) . {\displaystyle \operatorname {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.

Tema degli esploratori: ricerca e scienza aperta (deposito sistematico; ricerca «preprint»).
Fonte: Wikipedia in inglese, voce «Julia set» — https://en.wikipedia.org/wiki/Julia_set
Wikidata Q848427: «insieme complemento definito da una funzione» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q848427
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Julia_set?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1382553155, consultata il 2026-10-31T08:35:58.685Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 1d5b127cb06e5224c0bfac2d83cb3a42079367807f114b1f50abb9ad66f134a3