Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Sufficient conditions for oscillations in
competitive linear-threshold brain networks
M. McCreesh, T. Menara, J. Cortés
IEEE Control Systems Letters (7) (2023), 2886-2891
Abstract
Oscillatory activity is highly prevalent in the brain. Oscillations
with specific characteristics are associated with a variety of
healthy and diseased brain functions. This paper considers two
mesoscale brain network models described by linear-threshold and
threshold-linear dynamics and takes on the analytical
characterization of the emergence of oscillations. The synaptic
connectivity is described by an arbitrary network interconnection
topology that allows for self-excitatory nodes. We provide a
structural characterization for the existence of stable node sets
that support asymptotically stable equilibria and identify
sufficient conditions for oscillatory behavior in competitive
linear-threshold and threshold-linear dynamics. Simulations
illustrate our results.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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jorgilliyo