{"id":89018,"date":"2015-05-27T03:00:00","date_gmt":"2015-05-27T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=56963c6bf6fdb4fbb32199b9c2a4acfb"},"modified":"2015-05-27T03:00:00","modified_gmt":"2015-05-27T00:00:00","slug":"the-double-pendulum-a-numerical-study","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=89018","title":{"rendered":"The double pendulum: a numerical study"},"content":{"rendered":"<p>Analysis and characterization of dynamical systems is a common task in computational physics. It<br \/>\nfrequently demands new algorithms for finding solutions and new techniques for analysing the<br \/>\nresults. Here we review some of these algorithms and techniques in the study of the double pendulum,<br \/>\nwhich, despite being a very simple mechanical system, can display complex behaviour. Even though it<br \/>\nhas been studied before (Yu and Bi 1998 J. Sound Vib. 217 [http:\/\/dx.doi.org\/10.1006\/jsvi.1998.1781]<br \/>\n691736 ; Stachowiak and Okada 2006 Chaos, Solitons &#038; Fractals 29<br \/>\n[http:\/\/dx.doi.org\/10.1016\/j.chaos.2005.08.032\/1367-2630\/15\/2\/023027] 417422 ; Rafat, Wheatland and<br \/>\nBedding 2009 Am. J. Phys. 77 [http:\/\/dx.doi.org\/10.1119\/1.3052072] 216-23 ; Levien and Tan 1993 Am.<br \/>\nJ. Phys. 61 [http:\/\/dx.doi.org\/10.1119\/1.17335] 103844 ), here we present a deeper discussion of the<br \/>\nseveral methods and algorithms t&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Analysis and characterization of dynamical systems is a common task in computational physics. It<br \/>\nfrequently demands new algorithms for finding solutions and new techniques for analysing the<br \/>\nresults. Here we review some of these algorithms and techniques in the study of the double pendulum,<br \/>\nwhich, despite being a very simple mechanical system, can display complex behaviour. Even though it<br \/>\nhas been studied before (Yu and Bi 1998 J. Sound Vib. 217 [http:\/\/dx.doi.org\/10.1006\/jsvi.1998.1781]<br \/>\n691736 ; Stachowiak and Okada 2006 Chaos, Solitons &amp; Fractals 29<br \/>\n[http:\/\/dx.doi.org\/10.1016\/j.chaos.2005.08.032\/1367-2630\/15\/2\/023027] 417422 ; Rafat, Wheatland and<br \/>\nBedding 2009 Am. J. Phys. 77 [http:\/\/dx.doi.org\/10.1119\/1.3052072] 216-23 ; Levien and Tan 1993 Am.<br \/>\nJ. Phys. 61 [http:\/\/dx.doi.org\/10.1119\/1.17335] 103844 ), here we present a deeper discussion of the<br \/>\nseveral methods and algorithms t&#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-89018","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\/89018","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=89018"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/89018\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=89018"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=89018"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=89018"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}