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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:<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:20260827T173349
DTSTART;TZID=America/New_York:20251209T110000
DTEND;TZID=America/New_York:20251209T120000
SEQUENCE:0
TRANSP:OPAQUE
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