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Harmonic Analysis and Differential Equations Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 143
Date
Apr 9, 2024   1:00 pm  
Speaker
Olivia Cannon (University of Minnesota)
Contact
Carrie Clark
E-Mail
carriec2@illinois.edu
Views
33
Originating Calendar
Harmonic Analysis and Differential Equations Seminar (HADES)

Speaker: Olivia Cannon (https://sites.google.com/umn.edu/oliviacannon)

TitleShifting Parties in Social Dynamics: a Nonlocal Approach

Abstract: The bounded confidence model is well-known for its dynamics of party formation within the sphere of social dynamics. We investigate the addition of bias terms, modeling shifts in opinions, and the resulting dynamics including coherent movement of parties. We analyze this movement using a novel, nonlocal approach for the study of the resulting forward-backward delay equations. Different from classical methods, we compute Taylor expansions in function space. This approach leads to an algebraically simple computation of the reduced flow on a center manifold, allowing for proof of coherent small-amplitude movement.

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