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SUMMARY:Anna Gierzkiewicz (University of Agriculture in Krakow\, Poland)
DTSTART:20210126T150000Z
DTEND:20210126T160000Z
DTSTAMP:20260423T024747Z
UID:CRM-CAMP/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/28/
 ">Periodic orbits in Roessler system</a>\nby Anna Gierzkiewicz (University
  of Agriculture in Krakow\, Poland) as part of CRM CAMP (Computer-Assisted
  Mathematical Proofs) in Nonlinear Analysis\n\n\nAbstract\nIn a joint work
  with Piotr Zgliczynski\, we study the Roessler system with an attracting 
 periodic orbit\, for two sets of parameters. In both cases the attractor o
 n a Poincare section seems to be almost one-dimensional and therefore we a
 pply the methods for two-dimensional perturbations of an interval's self-m
 ap introduced by Zgliczynski in Multidimensional perturbations of one-dime
 nsional maps and stability of Sharkovskii ordering in 1999. We prove the e
 xistence of p-periodic orbits for almost all natural p with computer assis
 tance: by interval Newton method and covering relations.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/28/
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