BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Date iCal//NONSGML kigkonsult.se iCalcreator 2.18//
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Asia/Tokyo
BEGIN:STANDARD
DTSTART:19510909T010000
TZOFFSETFROM:+1000
TZOFFSETTO:+0900
TZNAME:JST
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
UID:calendar.22618.field_date.0@groups.oist.jp
DTSTAMP:20191022T183605Z
CREATED:20190226T085016Z
DESCRIPTION:Date \n\n \n\n Wednesday\, March 27\, 2019 - 16:00 to 17:0
0 \n \n Description \n\n \n\n \n\nA blender is an intricate geom
etric structure of a three- or higher-dimensional diffeomorphism. Its char
acterising feature is that its invariant manifolds behave as geometric obj
ects of a dimension that is larger than expected from the dimensions of th
e manifolds themselves. We introduce a family of three-dimensional Hénon-l
ike maps and study how it gives rise to an explicit example of a blender.
The map has two saddle fixed points. Their associated stable and unstable
manifolds consist of points for which the sequence of images or pre-images
converges to one of the saddle points\; such points lie on curves or surf
aces\, depending on the number of stable eigenvalues of the Jacobian at th
e saddle points. We employ advanced numerical techniques to compute one-di
mensional stable and unstable manifolds to very considerable arclengths. I
n this way\, we not only present the first images of an actual blender but
also obtain a convincing numerical test for the blender property. This al
lows us to present strong numerical evidence for the existence of the blen
der over a larger parameter range\, as well as its disappearance and geome
tric properties beyond this range. We will also discuss the relevance of t
he blender property for chaotic attractors\; joint work with Stephanie Hit
tmeyer and Bernd Krauskopf (University of Auckland) and Katsutoshi Shinoha
ra (Hitotsubashi University).
DTSTART;TZID=Asia/Tokyo:20190327T160000
DTEND;TZID=Asia/Tokyo:20190327T170000
LAST-MODIFIED:20190226T085016Z
SUMMARY:[Geometry\, Topology and Dynamics Seminar] Robust chaos: a tale of
blenders\, their computation\, and their destruction by Dr. Hinke Osinga (
University of Auckland)
URL;TYPE=URI:https://groups.oist.jp/manifolds/event/geometry-topology-and-d
ynamics-seminar-robust-chaos-tale-blenders-their-computation
END:VEVENT
END:VCALENDAR