BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20260329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20251026T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260424T062926Z
UID:687756ba3d223133457173@ist.ac.at
DTSTART:20251216T160000
DTEND:20251216T170000
DESCRIPTION:Speaker: Martin Pau\nhosted by Kaloshin Group\nAbstract: In thi
 s work\, we prove that a generic unfolding of an analytic Hamiltonian Hopf
  singularity (in an open set with codimension 1 boundary) possesses transv
 erse homoclinic orbits for subcritical values of the parameter close to th
 e bifurcation parameter. As a consequence\, these systems display chaotic 
 dynamics with arbitrarily large topological entropy.We verify that the Ham
 iltonian of the restricted planar circular three-body problem (RPC3BP) clo
 se to the Lagrangian point $L_4$ falls within this open set. The generic c
 ondition ensuring the presence of transversal homoclinic intersections is 
 subtle and involves the so-called Stokes constant. Thus\, in the case of t
 he RPC3BP close to $L_4$\, our result holds conditionally on the value of 
 this constant.
LOCATION:Oberbank Ballroom\, Central Building\, ISTA
ORGANIZER:esztatec@ist.ac.at
SUMMARY:Martin Pau: Chaotic phenomena in generic unfoldings of the Hamilton
  Hopf bifurcation with emphasis on the restricted planar circular 3-body p
 roblem beyond the Gascheau-Routh mass ratio
URL:https://talks-calendar.ista.ac.at/events/6174
END:VEVENT
END:VCALENDAR