{"id":805,"date":"2016-02-03T15:46:16","date_gmt":"2016-02-03T13:46:16","guid":{"rendered":"http:\/\/toschi.phys.tue.nl\/wordpress\/?p=805"},"modified":"2016-03-04T10:11:21","modified_gmt":"2016-03-04T08:11:21","slug":"3mt100-chaos","status":"publish","type":"post","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/3mt100-chaos\/","title":{"rendered":"3MT100 - Chaos"},"content":{"rendered":"
\n

Chaos is the erratic behavior of simple nonlinear dynamical systems. This course covers the basic fundamentals of chaos theory, including the concept of scaling and universal route to chaos, and its connection to these non-linear, deterministic but unpredictable dynamical systems. From simple chaotic maps, to the physics of fractals and multi-fractals via the concept of renormalization group. Applications in fluid dynamics, plasma and fusion physics will be discussed.<\/p>\n

[Link to the course schedule<\/a>]<\/p>\n

[Link to the lecture notes<\/a>]<\/p>\n<\/div>\n<\/div> ","protected":false},"excerpt":{"rendered":"

Chaos is the erratic behavior of simple nonlinear dynamical systems. This course covers the basic fundamentals of chaos theory, including the concept of scaling and universal route to chaos, and its connection to these non-linear, deterministic but unpredictable dynamical systems. From simple chaotic maps, to the physics of fractals and multi-fractals via the concept of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[38,5],"tags":[],"class_list":["post-805","post","type-post","status-publish","format-standard","hentry","category-master","category-teaching"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6tiMI-cZ","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":442,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/chaos\/","url_meta":{"origin":805,"position":0},"title":"3T350 - Chaos","author":"toschi","date":"December 1, 2013","format":false,"excerpt":"This course is the continuation of 3T220 (Chaos), but now with a greater emphasis on the application of Chaos concepts to fluids. Chaos is the seemingly erratic behavior of simple deterministic, but nonlinear dynamical systems. We will first discuss the route to chaos, where we will already encounter the scaling\u2026","rel":"","context":"In "master"","block_context":{"text":"master","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/teaching\/master\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":144,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/non-spherical-particles-and-aggregates-in-fluid-flows\/","url_meta":{"origin":805,"position":1},"title":"Non-Spherical Particles and Aggregates in Fluid Flows","author":"toschi","date":"December 4, 2012","format":false,"excerpt":"June 17, 2013 \u2014 June 21, 2013 Coordinators: Cristian Marchioli (Universit\u00e0 di Udine, Italy) Federico Toschi (Eindhoven University of Technology, The Netherlands) Dynamics of non-spherical particles and aggregates in fluid flow are encountered both in nature and in industrial applications. 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Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents\u2026","rel":"","context":"In "projects"","block_context":{"text":"projects","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/research\/projects\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":452,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/3cs03-caput-theoretical-physics-theory-of-liquids\/","url_meta":{"origin":805,"position":3},"title":"3CS03 - Caput Theoretical Physics: Theory of liquids","author":"toschi","date":"December 1, 2013","format":false,"excerpt":"Liquids lack the long-range order typical for solids. Collisional processes and short-range correlations distinguish liquids from dilute gases. 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