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SUMMARY:Marian Gidea (Yeshiva University)
DTSTART:20201209T200000Z
DTEND:20201209T210000Z
DTSTAMP:20260423T021425Z
UID:ONEPAS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONEPAS/11/">
 Topological methods and Hamiltonian instability</a>\nby Marian Gidea (Yesh
 iva University) as part of Online Northeast PDE and Analysis Seminar\n\n\n
 Abstract\nInstability of Hamiltonian systems is relevant to problems from 
 celestial mechanics\, particle accelerators\, plasma confinement\, quasige
 ostrophic flows\, etc.  Motivated by such applications\, one is interested
  in detecting mechanisms of instability in concrete models\, and in provid
 ing quantitative information on the unstable trajectories.\n              
                                                               <br> <br>\n 
                                                                           
  We will describe a topological method based on `correctly aligned windows
 '\, which can be used to derive properties concerning the long-term behavi
 or of  dynamical systems. In particular\, this method enables one  to dete
 ct topological horseshoes. The method can be implemented in computer assis
 ted proofs\, via validated numerical computations.  We will show applicati
 on of this method to  Hamiltonian instability. Concrete examples will incl
 ude  mechanical systems consisting  of rotators and penduli\, and the thre
 e-body problem in celestial mechanics.\n
LOCATION:https://researchseminars.org/talk/ONEPAS/11/
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