{"id":12898,"date":"2021-11-23T20:08:38","date_gmt":"2021-11-24T01:08:38","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=12898"},"modified":"2026-06-02T14:59:25","modified_gmt":"2026-06-02T18:59:25","slug":"tr-96-30-compositional-complexity-in-dynamical-systems","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1996\/tr-96-30-compositional-complexity-in-dynamical-systems\/","title":{"rendered":"TR-96-30: Compositional complexity in dynamical systems"},"content":{"rendered":"\n<section class=\"w-screen px-6 cu-section cu-section--white ml-offset-center md:px-8 lg:px-14\">\n    <div class=\"space-y-6 cu-max-w-child-5xl  md:space-y-10 cu-prose-first-last\">\n\n            <div class=\"cu-textmedia flex flex-col lg:flex-row mx-auto gap-6 md:gap-10 my-6 md:my-12 first:mt-0 max-w-5xl\">\n        <div class=\"justify-start cu-textmedia-content cu-prose-first-last\" style=\"flex: 0 0 100%;\">\n            <header class=\"font-light prose-xl cu-pageheader md:prose-2xl cu-component-updated cu-prose-first-last\">\n                                    <h1 class=\"cu-prose-first-last font-semibold !mt-2 mb-4 md:mb-6 relative after:absolute after:h-px after:bottom-0 after:bg-cu-red after:left-px text-3xl md:text-4xl lg:text-5xl lg:leading-[3.5rem] pb-5 after:w-10 text-cu-black-700 not-prose\">\n                        TR-96-30: Compositional complexity in dynamical systems\n                    <\/h1>\n                \n                                \n                            <\/header>\n\n                    <\/div>\n\n            <\/div>\n\n    <\/div>\n<\/section>\n\n<p>Carleton University<br>\n<a href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1996\/\">Technical Report<\/a> TR-96-30<br>\nNovember 1996<\/p>\n\n\n\n<h2 id=\"compositional-complexity-in-dynamical-systems\" class=\"wp-block-heading tr_t1\">Compositional complexity in dynamical systems<\/h2>\n\n\n\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">Frederic Geurts<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Abstract<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"tr_abstract\">\n<p class=\"tr_abstract\">We propose a compositional characterization of complex behaviors, i.e. a way to generate complexity based on the structural composition of systems. A homomorphism between composition operators and composition of dynamical properties of systems is established, which allows us to analyze classical (Smale horseshoe map, Cantor relation), formal (paperfolding sequences) and spatially extended systems (cellular automata). This paper presents applications of the composition principle in an informal way, emphasizing the qualitative aspects of the approach.<\/p>\n<p><a href=\"https:\/\/carleton.ca\/scs\/wp-content\/uploads\/sites\/260\/TR-96-30.pdf\">TR-96-30.pdf<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Carleton University Technical Report TR-96-30 November 1996 Compositional complexity in dynamical systems Frederic Geurts Abstract We propose a compositional characterization of complex behaviors, i.e. a way to generate complexity based on the structural composition of systems. A homomorphism between composition operators and composition of dynamical properties of systems is established, which allows us to analyze [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":12155,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_cu_dining_location_slug":"","footnotes":"","_links_to":"","_links_to_target":""},"cu_page_type":[],"class_list":["post-12898","page","type-page","status-publish","hentry"],"acf":{"cu_post_thumbnail":false},"_links":{"self":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/12898","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/comments?post=12898"}],"version-history":[{"count":1,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/12898\/revisions"}],"predecessor-version":[{"id":12899,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/12898\/revisions\/12899"}],"up":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/12155"}],"wp:attachment":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/media?parent=12898"}],"wp:term":[{"taxonomy":"cu_page_type","embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/cu_page_type?post=12898"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}