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SUMMARY:An anisotropic interaction model for simulating fingerprints
DTSTART;VALUE=DATE-TIME:20180711T003000Z
DTEND;VALUE=DATE-TIME:20180711T010000Z
DTSTAMP;VALUE=DATE-TIME:20241102T173016Z
UID:indico-contribution-15@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Lisa Maria Kreusser (University of Cambridge)\nMotiv
ated by the formation of fingerprint patterns we consider a class of inte
raction models with anisotropic interaction forces whose orientations depe
nd on an underlying tensor field. This class of models can be regarded as
a generalization of a gradient flow of a nonlocal interaction potential wh
ich has a local repulsion and a long-range attraction structure. In contra
st to isotropic interaction models the anisotropic forces in our class of
models cannot be derived from a potential. The underlying tensor field int
roduces an anisotropy leading to complex patterns which do not occur in i
sotropic models. This anisotropy is characterized by one parameter in the
model. We study the variation of this parameter\, describing the transitio
n between the isotropic and the anisotropic model\, analytically and numer
ically. We analyze the steady states and their stability by considering th
e particle model and the associated mean-field equations. Besides\, we pro
pose a bio-inspired model to simulate fingerprint patterns (and more gener
al any desired pattern) as stationary solutions by choosing the underlying
tensor field appropriately.\n\nhttps://conferences.maths.unsw.edu.au/even
t/2/contributions/15/
LOCATION:University of Sydney New Law School/--100
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/15/
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