Open Access
March 2009 Reliability of layered neural oscillator networks
Kevin. K. Lin, Eric Shea-Brown, Lai-Sang Young
Commun. Math. Sci. 7(1): 239-247 (March 2009).

Abstract

We study the reliability of large networks of pulse-coupled oscillators in response to fluctuating stimuli. Reliability means that a stimulus elicits essentially identical responses upon repeated presentations. We view the problem on two scales: neuronal reliability, which concerns the repeatability of spike times of individual oscillators embedded within a network, and pooled-response reliability, which addresses the repeatability of the total output from the network. We find that individual embedded oscillators can be reliable or unreliable depending on network conditions, whereas pooled responses of sufficiently large networks are mostly reliable.

Citation

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Kevin. K. Lin. Eric Shea-Brown. Lai-Sang Young. "Reliability of layered neural oscillator networks." Commun. Math. Sci. 7 (1) 239 - 247, March 2009.

Information

Published: March 2009
First available in Project Euclid: 27 March 2009

zbMATH: 1171.92002
MathSciNet: MR2512841

Subjects:
Primary: 34C15 , 37H99 , 82C32 , 92B20

Keywords: coupled oscillators , Neural network dynamics , Random dynamical systems

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 1 • March 2009
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