{"id":18042,"date":"2022-12-22T12:05:43","date_gmt":"2022-12-22T12:05:43","guid":{"rendered":"https:\/\/iiser.ntc-us.com\/iisernew\/?p=18042"},"modified":"2023-02-03T07:29:25","modified_gmt":"2023-02-03T07:29:25","slug":"the-generalised-synchronization-of-dynamical-systems-geometry-and-constraints","status":"publish","type":"post","link":"https:\/\/iiser.ntc-us.com\/iisernew\/the-generalised-synchronization-of-dynamical-systems-geometry-and-constraints\/","title":{"rendered":"The generalised synchronization of dynamical systems: Geometry and Constraints"},"content":{"rendered":"<p><strong>Title<\/strong> : The generalised synchronization of dynamical systems: Geometry and Constraints.<br \/>\n<strong>Speaker<\/strong> : Prof. Ramakrishna Ramaswamy, IIT Delhi<br \/>\n<strong>Date<\/strong> : 13\/10\/2022, 05:30 PM , Online.<\/p>\n<p><strong>Abstract:\u00a0<\/strong><\/p>\n<p>The generalised synchronization of coupled dynamical systems is a state of strong correlation, when the dynamics of one system is uniquely dependent on that of the other. We discuss how this can be seen in geometric terms, as a confinement of the dynamics to lower dimensional submanifolds in the phase space. In this framework, synchronization is seen as a process of imposing algebraic constraints which may also be time-dependent. We propose a procedure for constructing (non-unique) coupling functions that can guide the flow to the desired submanifold which can also be made stable and attracting. A geometric analysis of the stability of this manifold\u00a0 is provided, and the procedure is demonstrated through representative examples.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><strong>Date<\/strong> : 13\/10\/2022, 05:30 PM <\/p>\n","protected":false},"author":8,"featured_media":21956,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_expiration-date-status":"","_expiration-date":0,"_expiration-date-type":"","_expiration-date-categories":[],"_expiration-date-options":[]},"categories":[109],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/posts\/18042"}],"collection":[{"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/comments?post=18042"}],"version-history":[{"count":6,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/posts\/18042\/revisions"}],"predecessor-version":[{"id":23249,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/posts\/18042\/revisions\/23249"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/media\/21956"}],"wp:attachment":[{"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/media?parent=18042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/categories?post=18042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iiser.ntc-us.com\/iisernew\/wp-json\/wp\/v2\/tags?post=18042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}