{"id":858,"date":"2020-10-01T08:47:26","date_gmt":"2020-10-01T07:47:26","guid":{"rendered":"https:\/\/nicolas-lebrun.fr\/?post_type=project&p=858"},"modified":"2024-10-22T16:07:05","modified_gmt":"2024-10-22T15:07:05","slug":"attracteur","status":"publish","type":"project","link":"https:\/\/nicolas-lebrun.fr\/fr\/project\/attracteur\/","title":{"rendered":"S\u00e9rie des attracteurs"},"content":{"rendered":"

Ces repr\u00e9sentations sont le fruit de l\u2019utilisation d\u2019une formule math\u00e9matique d\u00e9couverte par Clifford A. Pickover. L\u2019attracteur est un objet pratique inh\u00e9rent aux syst\u00e8mes dynamiques, des syst\u00e8mes qui \u00e9voluent de mani\u00e8re irr\u00e9versible avec le temps (climat, m\u00e9t\u00e9o, syst\u00e8me solaire\u2026). La th\u00e9orie du chaos repose essentiellement sur cet objet th\u00e9orique qu\u2019est l\u2019attracteur. L\u2019attracteur fournit un mod\u00e8le pour pr\u00e9dire le comportement de plusieurs \u00e9l\u00e9ments au sein d\u2019un syst\u00e8me soumit \u00e0 un chaos d\u00e9terministe, c\u2019est dire que sans avoir une connaissance pr\u00e9cise des conditions initiales dudit syst\u00e8me, l\u2019attracteur permet de d\u00e9finir le comportement d\u2019un grand nombre d\u2019\u00e9l\u00e9ments.<\/p>\n\n\n\n

Il s\u2019agit donc de repr\u00e9sentations visuelles de l\u2019action d\u2019un attracteur mais celle-ci ne d\u00e9termine pas le comportement d\u2019un grand nombre de particules mais d\u2019une seule.
En effet pour tracer un dessin, un seul point a \u00e9t\u00e9 plac\u00e9 au centre du plan au d\u00e9marrage du programme. Il s\u2019agit de montrer comment l\u2019attracteur a d\u00e9termin\u00e9 la position de ce point, de cette particule (\u00e0 partir de sa position pr\u00e9c\u00e9dente) un million de fois.<\/p>\n\n\n\n

\n
\"Attractors\/Attracteurs\"<\/a><\/figure>\n\n\n\n
\"Attractors\/Attracteurs\"<\/a><\/figure>\n\n\n\n
\"Attractors\/Attracteurs\"<\/a><\/figure>\n\n\n\n
\"Attractors<\/a><\/figure>\n\n\n\n
\"Attractors<\/a><\/figure>\n<\/figure>\n\n\n\n

Les diff\u00e9rences de trac\u00e9 que montre la s\u00e9rie proviennent des variations des conditions initiales d\u2019une visualisation \u00e0 l\u2019autre. Ces conditions ont \u00e9t\u00e9 choisies al\u00e9atoirement lors de simulations ant\u00e9rieures et leurs valeurs ont \u00e9t\u00e9 enregistr\u00e9es en fonction de la qualit\u00e9 plastique ou graphique du r\u00e9sultat obtenu et de la r\u00e9ussite de la simulation (il est possible qu\u2019avec certaines conditions le point ne se d\u00e9place pas).<\/p>\n\n\n\n

L\u2019usage du cyanotype comme proc\u00e9der de reproduction vise \u00e0 un int\u00e9grer \u00e0 la premi\u00e8re exp\u00e9rience un second d\u00e9terminisme, cette fois-ci chimique, qui sous l\u2019action d\u2019un rayonnement ultraviolet donnera corps \u00e0 la repr\u00e9sentation.<\/p>","protected":false},"featured_media":1261,"template":"","meta":{"footnotes":""},"categories":[],"class_list":["post-858","project","type-project","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nS\u00e9rie des attracteurs - Nicolas Lebrun<\/title>\n<meta name=\"description\" content=\"{:fr}Tirages cyanotypes, 6 variations \u00d7 24 \u00d7 30 cm, disposition variable{:en}Cyanotype prints, 24 \u00d7 30 cm \u00d7 6 variants, variable layout{:}\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nicolas-lebrun.fr\/project\/attracteur\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[:fr]S\u00e9rie des attracteurs[:en]Attractors series[:] - Nicolas Lebrun\" \/>\n<meta property=\"og:description\" content=\"{:fr}Tirages cyanotypes, 6 variations \u00d7 24 \u00d7 30 cm, disposition variable{:en}Cyanotype prints, 24 \u00d7 30 cm \u00d7 6 variants, variable layout{:}\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nicolas-lebrun.fr\/project\/attracteur\/\" \/>\n<meta property=\"og:site_name\" content=\"Nicolas Lebrun\" \/>\n<meta property=\"article:modified_time\" content=\"2024-10-22T15:07:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/nicolas-lebrun.fr\/wp-content\/uploads\/2020\/10\/Attractors-all-variations-on-a-white-wall-1920px.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@nclslbrn\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nicolas-lebrun.fr\\\/project\\\/attracteur\\\/\",\"url\":\"https:\\\/\\\/nicolas-lebrun.fr\\\/project\\\/attracteur\\\/\",\"name\":\"[:fr]S\u00e9rie des attracteurs[:en]Attractors series[:] - 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