{"id":440034,"date":"2017-08-14T02:00:00","date_gmt":"2017-08-13T23:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=0d728b9cab8520dc85f091c10ca5945e"},"modified":"2017-08-14T02:00:00","modified_gmt":"2017-08-13T23:00:00","slug":"anharmonic-effects-in-simple-physical-models-introducing-undergraduates-to-nonlinearity-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=440034","title":{"rendered":"Anharmonic effects in simple physical models: introducing undergraduates to nonlinearity"},"content":{"rendered":"<p>Given the pervasive character of nonlinearity throughout the physical universe, a case is made for<br \/>\nintroducing undergraduate students to its consequences and signatures earlier rather than later. The<br \/>\ndynamics of two well-known systems\u2014a spring and a pendulum\u2014are reviewed when the standard textbook<br \/>\nlinearising assumptions are relaxed. Some qualitative effects of nonlinearity can be anticipated<br \/>\nfrom symmetry (e.g., inspection of potential energy functions), and further physical insight gained<br \/>\nby applying a simple successive-approximation method that might be taught in parallel with courses<br \/>\non classical mechanics, ordinary differential equations, and computational physics. We conclude with<br \/>\na survey of how these ideas have been deployed on programmes at a UK university.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given the pervasive character of nonlinearity throughout the physical universe, a case is made for<br \/>\nintroducing undergraduate students to its consequences and signatures earlier rather than later. The<br \/>\ndynamics of two well-known systems\u2014a spring and &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-440034","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/440034","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=440034"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/440034\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=440034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=440034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=440034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}