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X-ORIGINAL-URL:https://sites.gtiit.edu.cn/research/
X-WR-CALNAME:Research, Informatics and Graduate Studies
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UID:MEC-2afc4dfb14e55c6face649a1d0c1025b@sites.gtiit.edu.cn
DTSTART:20211217T100000Z
DTEND:20211217T110000Z
DTSTAMP:20211216T011400Z
CREATED:20211216
LAST-MODIFIED:20211216
PRIORITY:5
TRANSP:OPAQUE
SUMMARY:The Colloquium of the Mathematics with Computer Science Program By Prof. Vadim Panfilov
DESCRIPTION:Title\nThe Catastrophe Theory Application to Locate an Additional Stable Operating Regime\nSpeaker\nProf. Vadim Panfilov (GTIIT & University of Nevada)\nLanguage\nEnglish\nLocation\nE408 (Education Building, 4th floor)\nAbstract\nWhen we think how to control complex dynamical systems, at first instance, we focus on stable steady states of the system to look for appropriate operating conditions. The steady states correspond to the stationary states when the state variables of the mathematical models are not changing in time. For large heat capacity plants like chemical reactors, steel production furnaces, nuclear reactors the steady state operation is an only feasible option. We understand that dynamical systems may exhibit multiple steady states and the question of interest is how to locate, select a stable state for operation.\nThe bifurcation theory studies and classifies the qualitative nature of equation solutions depending of the (control) parameters of the equation. The Catastrophe Theory as a branch of bifurcation theory has been originated by the French mathematician Rene Thom in the 1960s. This theory introduced seven qualitative geometric structures called Elementary Catastrophes. Such geometric structures (and their names too) are so beautiful that they inspire famous Spanish artist Salvador Dali for his last painting “The Swallow’s Tail – Series of Catastrophes” (see attached picture).\nWe will consider the most complex 7th Butterfly Catastrophe. We will divide the 4-dimensional parametric space into the regions with different number of solutions. For Illustration purposes this procedure will be applied (in real-time!) to the 5-degree polynomial. We also show the catastrophe theory application to one of the most common models of perfectly mixed chemical reactors, namely, the Continuous Stirred Tank Reactor (CSTR).\n
URL:https://sites.gtiit.edu.cn/research/events/20211217/
ORGANIZER;CN=RIGS Office:MAILTO:rigs@gtiit.edu.cn
CATEGORIES:Lecture Series
LOCATION:E408 (Education Building, 4th floor)
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