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SUMMARY:Rafael de la Llave (Georgia Tech)
DTSTART:20201111T200000Z
DTEND:20201111T210000Z
DTSTAMP:20260423T021401Z
UID:ONEPAS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONEPAS/8/">C
 onstructive methods for the long term analysis of dynamics</a>\nby Rafael 
 de la Llave (Georgia Tech) as part of Online Northeast PDE and Analysis Se
 minar\n\n\nAbstract\nThe long term behavior of dynamical systems is an imp
 ortant practical  problem in technology and a deep challenge for mathemati
 cs.  In this set of lectures\, we plan to present <em>some</em> ideas of a
  concrete methodology that can be used to study the long term dynamics of 
 some given systems. The key idea is to:                                   
                                           <ul>\n<li> Identify some geometr
 ic structures that imply interesting long term behaviors.</li>\n<li> Devel
 op rigorous methods that\, with a finite computations can establish the ex
 istence of these objects in concrete systems.  </li>\n                    
                                                         </ul>\n           
                                                                  We can on
 ly cover some generalities and some vignettes that illustrate these progra
 m both in finite dimensional problems and in infinite dimensional systems.
   This first lecture will present some of the main tools from analysis and
  topology.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/8/
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