Phys. Rev. Lett. 99, 228101 (2007) [4 pages]Synchronization of Excitatory Neurons with Strongly Heterogeneous Phase ResponsesReceived 7 May 2007; published 26 November 2007 In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, the dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system by dealing explicitly with the heterogeneous phase response curves. We develop a method to solve the self-consistent equations for order parameters by using formal complex-valued phase variables, and apply our theory to networks of in vitro cortical neurons. We find a novel state transition that is not observed in previous oscillator network models. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.228101
DOI:
10.1103/PhysRevLett.99.228101
PACS:
87.19.La, 05.45.Xt, 87.18.Sn
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