{"id":135,"date":"2019-03-16T16:29:20","date_gmt":"2019-03-16T22:29:20","guid":{"rendered":"http:\/\/sites.msudenver.edu\/sundbyel\/?page_id=135"},"modified":"2025-05-07T21:05:54","modified_gmt":"2025-05-08T03:05:54","slug":"chaos-and-nonlinear-dynamics","status":"publish","type":"page","link":"https:\/\/sites.msudenver.edu\/sundbyel\/chaos-and-nonlinear-dynamics\/","title":{"rendered":"Chaos and Nonlinear Dynamics"},"content":{"rendered":"<p><img decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/mathanimman.gif\" alt=\"Math\" width=\"200\" align=\"LEFT\" border=\"0\" \/><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/Sierp.jpg\" alt=\"Sierpinksi Tetrahedron\" width=\"250\" align=\"RIGHT\" border=\"2\" \/><\/p>\n<h2><span style=\"font-family: comic sans ms, sans-serif;font-size: 18pt\"><span style=\"color: #0000ff\">Chaos and Nonlinear Dynamics<\/span><\/span><\/h2>\n<p><b>Dr. Linda Sundbye<\/b><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/mandelbrot.jpg\" alt=\"Mandelbrot Set\" width=\"250\" height=\"200\" align=\"RIGHT\" border=\"0\" \/><br \/>\n<b>Metropolitan State University of Denver<\/b><br \/>\n<b>Department of Mathematics and Statistics<br \/>\n<\/b><\/p>\n<p>Last updated: May 8<em>, 2025<\/em><\/p>\n<hr \/>\n<h2><span style=\"font-family: 'comic sans ms', sans-serif;font-size: 18pt;color: #0000ff\">Textbook Info:<\/span><\/h2>\n<p><b>Text:\u00a0<\/b> Linda Sundbye, <em><a href=\"https:\/\/www.amazon.com\/Discrete-Dynamical-Systems-Theory-Fractals\/dp\/172716153X\" target=\"_blank\" rel=\"noopener noreferrer\">Discrete Dynamical Systems, Chaos Theory and Fractals<\/a>,<\/em> Kindle Direct Publishing (2018); ISBN: 978-1727161533<br \/>\n(Order through Amazon)<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/mengersponge.jpg\" alt=\"Menger Sponge\" width=\"200\" align=\"RIGHT\" border=\"0\" \/><\/p>\n<p><a href=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/errata.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">CORRECTIONS TO THE TEXT<\/a><\/p>\n<hr \/>\n<p><i>Chaos is the score upon which reality is written.<\/i><br \/>\n<b>Henry Miller,<\/b> <i>Tropic of Cancer<\/i><\/p>\n<p><i>Chaos is found in greatest abundance wherever order is being sought. It always defeats order, because it is better organized.<\/i><br \/>\n<b>Sir Terry Pratchett<\/b><\/p>\n<p><a href=\"http:\/\/www.rosaryhs.com\/s\/1514\/images\/editor_documents\/academics\/2017-18\/a-sound-of-thunder.pdf?no_cookie=1\" target=\"_blank\" rel=\"noopener noreferrer\">Ray Bradbury &#8220;A Sound of Thunder&#8221;<\/a> (Possible origin of the term &#8220;butterfly effect&#8221; introduced by Edward Lorenz in the 1960s)<\/p>\n<hr \/>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/fractal.jpg\" alt=\"Fractal\" width=\"250\" height=\"200\" align=\"LEFT\" border=\"0\" \/><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2019\/03\/fractal2.jpg\" alt=\"Fractal\" width=\"250\" height=\"200\" align=\"RIGHT\" border=\"0\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chaos and Nonlinear Dynamics Dr. Linda Sundbye Metropolitan State University of Denver Department of Mathematics and Statistics Last updated: May 8, 2025 Textbook Info: Text:\u00a0 Linda Sundbye, Discrete Dynamical Systems, Chaos Theory and Fractals, Kindle Direct Publishing (2018); ISBN: 978-1727161533 (Order through Amazon) CORRECTIONS TO THE TEXT Chaos is the score upon which reality is [&hellip;]<\/p>\n","protected":false},"author":821,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-135","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages\/135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/users\/821"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/comments?post=135"}],"version-history":[{"count":0,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages\/135\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/media?parent=135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}