{"id":4,"date":"2022-11-02T18:09:55","date_gmt":"2022-11-02T18:09:55","guid":{"rendered":"https:\/\/dornsife.usc.edu\/robert-sacker\/?page_id=4"},"modified":"2023-06-21T11:14:06","modified_gmt":"2023-06-21T18:14:06","slug":"home","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/robert-sacker\/","title":{"rendered":"Home Sample Page"},"content":{"rendered":"\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--featured-block \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--featured-block\"\n    \n      >\n\n    \n  <div class=\"text-image-container\">\n    <div class=\"text-container\">\n\n      \n                  \n<div class=\"f--field f--section-title\">\n\n    \n  <h2>\n          Rober Sacker\n      <\/h2>\n\n\n<\/div>\n      \n                  \n<div class=\"f--field f--description\">\n\n    \n  <h5><strong>Professor,\u00a0<a href=\"https:\/\/dornsife.usc.edu\/mathematics\/\" target=\"_blank\" rel=\"noopener\" data-saferedirecturl=\"https:\/\/www.google.com\/url?hl=en&amp;q=https:\/\/dornsife.usc.edu\/mathematics\/&amp;source=gmail&amp;ust=1525916321479000&amp;usg=AFQjCNFGuYJ-q6SxV_GzLqAWvRtMPV5M2Q\">Department of Mathematics<\/a><\/strong><\/h5>\n<h5><a href=\"https:\/\/www.usc.edu\/\" target=\"_blank\" rel=\"noopener\" data-saferedirecturl=\"https:\/\/www.google.com\/url?hl=en&amp;q=https:\/\/www.usc.edu\/&amp;source=gmail&amp;ust=1525916321479000&amp;usg=AFQjCNENGjfLup2qORjP_ytGAWfjPd8zdw\">University of Southern California<\/a><\/h5>\n\n\n\n<\/div>\n      \n          <\/div>\n\n          <div class=\"image-container\">\n            \n<div class=\"f--field f--image\">\n\n    \n    \n    \n    \n    \n    \n              \n      <img\n                            data-src=\"https:\/\/dornsife.usc.edu\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/IMG_1647_web2-768x768.jpg\"\n          data-srcset=\"https:\/\/dornsife.usc.edu\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/IMG_1647_web2-1280x1280.jpg 1280w,https:\/\/dornsife.usc.edu\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/IMG_1647_web2-768x768.jpg 768w\"          data-sizes=\"(min-width:1024px) 50vw, (min-width:768px) 100vw, 100vw\"          class=\"lazyload\"\n        \n                  role=\"none\"\n        \n        \n                                      \/>\n\n    \n    \n  \n  \n\n<\/div>\n      <\/div>\n    \n  <\/div>\n\n\n  <\/div><\/div>\n\n\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>Prof. Sacker&#8217;s research interest spans over ordinary differential equations, difference equations, infinite dimensional dynamical systems, applied mathematics and population biology.<\/p>\n<hr \/>\n<h5>Education<\/h5>\n<table border=\"0\">\n<tbody>\n<tr>\n<td>B.S.<\/td>\n<td>1959<\/td>\n<td>Georgia Institute of Technology<\/td>\n<\/tr>\n<tr>\n<td>M.S.<\/td>\n<td>1961<\/td>\n<td>Georgia Institute of Technology<\/td>\n<\/tr>\n<tr>\n<td>Ph.D.<\/td>\n<td>1964<\/td>\n<td>New York University &#8212; Courant Institute<\/p>\n<p><a href=\"\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/IMM-NYU.pdf\">Dissertation<\/a>: &#8220;On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations&#8221; (<strong>Thesis Advisor<\/strong>: &#8211; J. K. Moser)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h5>Scientific Accomplishments<\/h5>\n<p>The following are cited numerous places in the literature:<\/p>\n<ul>\n<li><strong>Spectral theory<\/strong>\u00a0for non-autonomous Dynamical Systems: &#8220;Sacker-Sell&#8221; spectrum (<a href=\"\/robert-sacker\/sacker-and-sell\/\">Meet the authors<\/a>);<\/li>\n<\/ul>\n<p>Robert Sacker &#8211;\u00a0<a href=\"\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/rjs09.pdf\">A Biographical Sketch<\/a>\u00a0by Sell;<\/p>\n<p><a href=\"https:\/\/dsweb.siam.org\/TheMagazine\/Article\/TabId\/823\/ArtMID\/1971\/ArticleID\/1668\/In-Memory-of-George-Sell.aspx\">George R. Sell in Memorium<\/a>.<\/p>\n<ul>\n<li><strong>Bifurcation Theory<\/strong>, &#8220;Neimark-Sacker Bifurcation Theorem&#8221; (<a href=\"http:\/\/www.springer.com\/math\/dyn.+systems\/book\/978-0-387-21906-6\">read about it in Yuri Kuznetsov&#8217;s book<\/a>\u00a0or visit the\u00a0<a href=\"http:\/\/www.scholarpedia.org\/article\/Neimark-Sacker_bifurcation\">Scholarpedia article<\/a>). For first complete proof\u00a0<a href=\"\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/IMM-NYU.pdf\">click here<\/a>. See also &#8220;<a href=\"\/robert-sacker\/publications\/\">Publications<\/a>&#8221; Nos. 45, 45a and 45b for the 2009 synopsis and re-publication.<\/li>\n<\/ul>\n<hr \/>\n<p><strong>Mathematical Ancestral Tree<\/strong>\u00a0:\u00a0<a href=\"\/robert-sacker\/mathematical-ancestral-tree\/\">Click Here<\/a><\/p>\n<hr \/>\n<p><strong>Co-Editor<\/strong>: &#8220;Short Notes&#8221; section of\u00a0<a href=\"https:\/\/www.tandfonline.com\/loi\/gdea20#.UoFVS6VMY8M\">Journal of Difference Equations and Applications<\/a><\/p>\n<p><strong>Guidelines for submission<\/strong>\u00a0of Short Notes (Policy Statement) ::\u00a0<a href=\"\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/JDEA-Notes.pdf\">Click Here<\/a><\/p>\n<hr \/>\n<h5>Professional Societies and Conferences<\/h5>\n<ul>\n<li><a href=\"http:\/\/isdeds.com\/home.html\">International Society of Difference Equations<\/a><\/li>\n<li>International Conference on Difference Equations and Applications (ICDEA 2004)___Main Theme: Mathematical Biology. August 2 &#8211; 6, 2004.<\/li>\n<\/ul>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":9,"featured_media":167,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-4","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Home Sample Page - Robert Sacker<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/robert-sacker\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Home Sample Page - Robert Sacker\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/robert-sacker\/\" \/>\n<meta property=\"og:site_name\" content=\"Robert Sacker\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-21T18:14:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/dornsife.usc.edu\/robert-sacker\/wp-content\/uploads\/sites\/256\/2023\/06\/photo11-scaled-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1532\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/robert-sacker\/\",\"url\":\"https:\/\/dornsife.usc.edu\/robert-sacker\/\",\"name\":\"Home Sample Page - 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