{"id":430,"date":"2015-04-01T21:09:45","date_gmt":"2015-04-01T12:09:45","guid":{"rendered":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/wordpress\/?p=430"},"modified":"2015-04-01T21:09:45","modified_gmt":"2015-04-01T12:09:45","slug":"210945","status":"publish","type":"post","link":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/?p=430","title":{"rendered":"\u6d41\u4f53\u7269\u7406\u5b66\u30bc\u30df\u30ca\u30fc\u30eb2006\/11\/02"},"content":{"rendered":"<p>_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/<br \/>\n_\/<br \/>\n_\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff16 No. \uff11\uff12<br \/>\n_\/<br \/>\n_\/<br \/>\n_\/ \u65e5 \u6642 : \uff10\uff16\u5e74 \uff11\uff11\u6708 \uff12\uff10\u65e5 (\u6708) \uff11\uff15\uff1a\uff10\uff10\u301c\uff11\uff16\uff1a\uff13\uff10<br \/>\n_\/<br \/>\n_\/ \u5834 \u6240 : \u4eac\u5927\u6570\u7406\u7814 \uff10\uff10\uff19\u53f7\u5ba4<br \/>\n_\/<br \/>\n_\/ \u8b1b \u5e2b\uff1a Dr. Lennaert van Veen<br \/>\n_\/ La Trobe University, Melbourne, Australia<br \/>\n_\/<br \/>\n_\/ \u984c \u76ee\uff1a The Shilnikov-saddle node bifurcation and robust chaos<br \/>\n_\/ in the brain<br \/>\n_\/<br \/>\n_\/ \u5185 \u5bb9 :<br \/>\n_\/ The study of the human brain as a dynamical system is<br \/>\n_\/ complicated enormously by the multitude of open questions<br \/>\n_\/ on modeling as well as the correlation between the signals<br \/>\n_\/ in the brain and the process of cognition. Many have tried<br \/>\n_\/ to model the brain as a network of coupled units, each<br \/>\n_\/ modeling some aspect of the functioning of neurons. However,<br \/>\n_\/ the number and density of the neurons suggest that<br \/>\n_\/ local-average modeling is a better approach. In this approach<br \/>\n_\/ an system of partial differential equations is derived for<br \/>\n_\/ the spatio-temporal variation of brain signals. In collaboration<br \/>\n_\/ with David Liley of Swinburne University, Melbourne, I have<br \/>\n_\/ studied the dynamics of a local average model for electro-cortical<br \/>\n_\/ activity. Surprisingly, we found that chaotic behaviour in this<br \/>\n_\/ model is quite common. The route to chaos followed is called the<br \/>\n_\/ Shilnikov-saddle node bifurcation and has never been found in a<br \/>\n_\/ physical application before. The fact that this particular model has<br \/>\n_\/ been proven to model many aspects of the human electroencephalogram<br \/>\n_\/ (EEG) correctly (currently clinical trials are conducted with an EEG<br \/>\n_\/ reader based on this model) this has interesting implications for<br \/>\n_\/ brain functioning.<br \/>\n_\/ The presentation is based on &#8220;Chaos in the electroencephalogram<br \/>\n_\/ via Shilnikov&#8217;s saddle-node bifurcation&#8221;, Phys.Rev.Lett.,<br \/>\n_\/ to appear in November 2006<br \/>\n_\/<br \/>\n_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/<\/p>\n<p>\u623b\u308b [http:\/\/www.kyoryu.scphys.kyoto-u.ac.jp\/semi\/semi2.html]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/ _\/ _\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff16 No. \uff11\uff12 _\/ _ [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,26],"tags":[],"class_list":["post-430","post","type-post","status-publish","format-standard","hentry","category-16","category-26"],"_links":{"self":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/430","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=430"}],"version-history":[{"count":0,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/430\/revisions"}],"wp:attachment":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=430"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}