BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Dídac Gil Rams (Centre de Recerca Matemàtica)
DTSTART:20240306T120000Z
DTEND:20240306T130000Z
DTSTAMP:20260423T004515Z
UID:SIMBa/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/21/">S
 plitting of separatrices in generalized standard maps</a>\nby Dídac Gil R
 ams (Centre de Recerca Matemàtica) as part of Barcelona Mathematics Infor
 mal Seminar (SIMBa)\n\nLecture held in UPC.\n\nAbstract\nWe study transver
 sal intersections between the invariant manifolds (stable and unstable) as
 sociated to an hyperbolic fixed point for a class of maps. These intersect
 ions are known as homoclinic\norbits.\nThe existence of these kind of orbi
 ts is one of the most celebrated methods to prove the existence of\nchaoti
 c dynamics in a system. Indeed the Morse-Smale theorem ensures that if the
 re exist transversal intersections between the invariant manifolds of the 
 same invariant object\, the system is locally conjugate to a Smale horsesh
 oe with infinite symbols.\n\nWe look for this phenomena in the named gener
 alized standard maps. This generalization includes the already studied map
 s like the standard map\, first studied by Lazutkin\, or the perturbed McM
 illan map.\nWe obtain an asymptotic formula for the Lazutkin invariant\, v
 alue related to the area between two homoclinic points\, and its first ter
 m depends on a Stokes constant that is generically different from zero. To
  do so\, one of the techniques that we use is the inner equation related t
 o our generalized standard maps.\n
LOCATION:https://researchseminars.org/talk/SIMBa/21/
END:VEVENT
END:VCALENDAR