Zachary Kilpatrick: Publications
**Publications**

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- B Ermentrout, SE Folias, and ZP Kilpatrick. Spatiotemporal pattern formation in neural fields
with linear adaptation. (2012) submitted.
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- ZP Kilpatrick, B Ermentrout. Wandering bumps in stochastic neural
fields. arXiv (2012) nlin.PS/1205.3072v1 and submitted.
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- SM Jayasuriya*, ZP Kilpatrick. Effects of time-dependent
stimuli on a competitive neural network model of perceptual
rivalry. Bull. Math. Biol., 6 (2012) pp. 1396-1426.
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- ZP Kilpatrick, B Ermentrout. Response of traveling
waves to transient inputs in neural fields. Phys. Rev. E, 85 (2012) 021910.
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- ZP Kilpatrick, GB Ermentrout. Hallucinogen persisting perception
disorder in neuronal networks with adaptation. J Comp. Neurosci., 32 (2012) pp. 25-53.
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- ZP Kilpatrick, B Ermentrout. Sparse gamma rhythms arising
through clustering in adapting neuronal networks. PLoS Comput. Biol., 7 (2011) e1002281.
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- PC Bressloff, ZP Kilpatrick. Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. SIAM
J. Appl. Math., 71 (2011) pp. 379-408.
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- ZP Kilpatrick, PC Bressloff. Binocular rivalry in a
competitive neural network model with synaptic depression. SIAM
J. Appl. Dyn. Syst., 9 (2010) pp. 1303-1347.
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- ZP Kilpatrick, PC Bressloff. Stability of bumps in piecewise smooth
neural fields with nonlinear adaptation. Physica D, 239 (2010)
pp. 1048-1060.
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- ZP Kilpatrick, PC Bressloff. Spatially structured oscillations in a
two-dimensional excitatory neuronal network with synaptic
depression. J. Comp. Neurosci., 28 (2010) pp. 193-209.
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- ZP Kilpatrick, PC Bressloff. Effects of synaptic
depression and adaptation on spatiotemporal dynamics of an excitatory
neuronal network. Physica D, 239 (2010) pp. 547-560.
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- PC Bressloff, ZP Kilpatrick. Nonlocal Ginzburg-Landau equation for
cortical pattern formation. Phys. Rev. E, 78 (2008), 041916.
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- ZP Kilpatrick, SE Folias, and PC Bressloff. Traveling pulses and wave propagation
failure in inhomogeneous neural media. SIAM J. Appl. Dyn. Syst.,
7 (2008), pp. 161-185.

### *undergraduate author!

Dissertation