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UID:9d3240d4dbbf79a9a76a751643a65d86
CATEGORIES:Applied and Computational Math Seminar
CREATED:20251206T183323
SUMMARY:Bifurcations from finite vector field data via TDA
LOCATION:Hill 525
DESCRIPTION:The traditional approach to understanding the changes a parameterized physi
 cal system undergoes as the parameters are varied consists of (1) writing a
  model family of differential equations (oftentimes in an ad hoc fashion) a
 nd (2) numerically or analytically identifying bifurcations in this family.
  While this is a time honored and fruitful pipeline, we instead take the ap
 proach of identifying bifurcations via a Conley index approach to topologic
 al data analysis, effectively circumventing the oft dubious step (1). In th
 is talk, we will discuss the details of this method in the case of the sadd
 le node bifurcation. This is joint work with Konstantin Mischaikow.
X-ALT-DESC;FMTTYPE=text/html:<div data-olk-copy-source="MessageBody" style="border: 0px; font-style: nor
 mal; font-weight: 400; font-size: 12pt; line-height: inherit; font-family: 
 Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-se
 rif; margin: 0px; padding: 0px; vertical-align: baseline; letter-spacing: n
 ormal; orphans: 2; text-align: start; text-indent: 0px; text-transform: non
 e; widows: 2; word-spacing: 0px; white-space: normal; background-color: #ff
 ffff;">The traditional approach to understanding the changes a parameterize
 d physical system undergoes as the parameters are varied consists of (1) wr
 iting a model family of differential equations (oftentimes in an ad hoc fas
 hion) and (2) numerically or analytically identifying bifurcations in this 
 family. While this is a time honored and fruitful pipeline, we instead take
  the approach of identifying bifurcations via a Conley index approach to to
 pological data analysis, effectively circumventing the oft dubious step (1)
 . In this talk, we will discuss the details of this method in the case of t
 he saddle node bifurcation. This is joint work with Konstantin Mischaikow.<
 /div>
CONTACT:Aakash Parikh (Rutgers University)
DTSTAMP:20260828T011737
DTSTART;TZID=America/New_York:20251209T110000
DTEND;TZID=America/New_York:20251209T120000
SEQUENCE:0
TRANSP:OPAQUE
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